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Experiments and theory in cold and ultracold collisions

John Weiner, Vanderlei S. Bagnato, Sergio Zilio, and Paul S. Julienne

John Weiner

  • Laboratory for Atomic, Molecular, and Optical Science and Engineering, University of Maryland, College Park, Maryland 20742

Vanderlei S. Bagnato and Sergio Zilio

  • Instituto de Física de São Carlos Universidade de São Paulo, São Carlos, São Paulo 13560, Brazil

Paul S. Julienne

  • Atomic Physics Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899

Rev. Mod. Phys. 71, 1 – Published 1 January, 1999

DOI: https://doi.org/10.1103/RevModPhys.71.1

Abstract

The authors review progress in understanding the nature of atomic collisions occurring at temperatures ranging from the millidegrees Kelvin to the nanodegrees Kelvin regime. The review includes advances in experiments with atom beams, light traps, and purely magnetic traps. Semiclassical and fully quantal theories are described and their appropriate applicability assessed. The review divides the subject into two principal categories: collisions in the presence of one or more light fields and ground-state collisions in the dark.

References (355)

  1. Abraham, E. R. I., W. I. McAlexander, J. M. Gerton, and R. G. Hulet, 1996, “Singlet s-wave scattering lengths of 6Li and 7Li,Phys. Rev. A 53, R3713–R3715.
  2. Abraham, E. R. I., W. I. McAlexander, J. M. Gerton, and R. G. Hulet, 1997, “Triplet s-wave resonance in 6Li collisions and scattering lengths of 6Li and 7Li,Phys. Rev. A 55, R3299–3302.
  3. Abraham, E. R. I., W. I. McAlexander, C. A Sackett, and R. G. Hulet, 1995, “Spectroscopic determination of the s-wave scattering length of lithium,” Phys. Rev. Lett. 74, 1315–1318.
  4. Abraham, E. R. I., W. I. McAlexander, H. T. C. Stoof, and R. G. Hulet, 1996, “Hyperfine structure in photoassociative spectra of 6Li2 and 7Li2,Phys. Rev. A 53, 3092–3097.
  5. Abraham, E. R. I., N. W. M. Ritchie, W. I. McAlexander, and R. G. Hulet, 1995, “Photoassociative spectroscopy of long-range states of ultracold 6Li2 and 7Li2,J. Chem. Phys. 103, 7773–7778.
  6. Adams, C. S., O. Carnal, and J. Mlynek, 1994, “Atom interferometery,” Adv. At. Mol. Opt. Phys. 34, 1–33.
  7. Adams, C. S., and E. Riis, 1997, “Laser cooling and trapping of neutral atoms,” Prog. Quantum Electron. 21, 1–79.
  8. Adams, C. S., M. Sigel, and J. Mlynek, 1994, “Atom optics,” Phys. Rep. 240, 143–210.
  9. Agosta, Ch., I. F. Silvera, H. T. C. Stoof, and B. J. Verhaar, 1989, “Trapping of neutral atoms with resonant microwave radiation,” Phys. Rev. Lett. 62, 2361–2364.
  10. Ahn, R. M. C., J. P. H. W. van den Eijnde, and B. J. Verhaar, 1983, “Calculation of nuclear spin relaxation rate for spin-polarized atomic hydrogen,” Phys. Rev. B 27, 5424–5432.
  11. Allison, A. C., 1972, “Spin-change frequency shifts in H-H collisions,” Phys. Rev. A 5, 2695–2696.
  12. Allison, A., and A. Dalgarno, 1969, “Spin change in collisions of hydrogen atoms,” Astrophys. J. 158, 423–425.
  13. Anderson, M. H., J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, 1995, “Observation of Bose-Einstein condensation in a dilute atomic vapor,” Science 269, 198–201.
  14. Anderson, W. R., J. R. Veal, and T. F. Gallagher, 1998, “Resonant dipole-dipole energy transfer in a nearly frozen Rydberg gas,” Phys. Rev. Lett. 80, 249–252.
  15. Andrews, M. R., C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, 1997, “Observation of interference between two Bose-Einstein condensates,” Science 275, 637–641.
  16. Arndt, M., M. Ben Dahan, D. Guery-Odelin, M. W. Reynolds, and J. Dalibard, 1997, “Observation of a zero-energy resonance in Cs-Cs collisions,” Phys. Rev. Lett. 79, 625–628.
  17. Ashkin, A., 1970, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159.
  18. Ashkin, A., 1978, “Trapping of atoms by resonance radiation pressure,” Phys. Rev. Lett. 40, 729–732.
  19. Ashkin, A., and J. P. Gordon, 1983, “Stability of radiation-pressure particle traps: An optical Earnshaw theorem,” Opt. Lett. 8, 511–513.
  20. Bagnato, V. S., G. P. Lafyatis, A. C. Martin, E. L. Raab, R. Ahmad-Bitar, and D. E. Pritchard, 1987, “Continuous stopping and trapping of neutral atoms,” Phys. Rev. Lett. 58, 2194–2197.
  21. Bagnato, V. S., L. Marcassa, C.-C. Tsao, Y. Wang, and J. Weiner, 1993, “Two-color spectroscopy of colliding ultracold atoms,” Phys. Rev. Lett. 70, 3225–3228.
  22. Bagnato, V. S., L. Marcassa, Y. Wang, J. Weiner, P. S. Julienne, and Y. B. Band, 1993, “Ultracold photoassociative ionization collisions in a magneto-optical trap: The optical-field-intensity dependence in a radiatively dissipative environment,” Phys. Rev. A 48, R2523–R2526.
  23. Bagnato, V. S., J. Weiner, P. S. Julienne, and C. J. Williams, 1994, “Long-Range Molecular States and Ultracold Photoassociative Ionization Collisions,” Laser Phys. 4, 1062–1065.
  24. Bahns, J. T., W. C. Stwalley, and P. L. Gould, 1996, “Laser cooling of molecules: A sequential scheme for rotation, translation, and vibration,” J. Chem. Phys. 104, 9689–9697.
  25. Balakrishnan, N., R. C. Forrey, and A. Dalgarno, 1997, “Threshold phenomena in ultracold atom-molecule collisions,” Chem. Phys. Lett. 280, 1–4.
  26. Balakrishnan, N., V. Kharchenko, R. C. Forrey, A. Dalgarno, 1997, “Complex scattering lengths in multi channel atom-molecule collision,” Chem. Phys. Lett. 280, 5–8.
  27. Bali, S., D. Hoffmann, and T. Walker, 1994, “Novel intensity dependence of ultracold collisions involving repulsive states,” Europhys. Lett. 27, 273–277.
  28. Band, Y. B., and P. S. Julienne, 1992, “Optical-Bloch-equation method for cold-atom collisions: Cs loss form optical traps,” Phys. Rev. A 46, 330–343.
  29. Band, Y. B., and P. S. Julienne, 1995, “Ultracold-molecule production by laser-cooled atom photoassociation,” Phys. Rev. A 51, R4317–R4320.
  30. Band, Y. B., and I. Tuvi, 1995, “Reduced optical shielding of collisional loss for laser-cooled atoms,” Phys. Rev. A 51, R4329–R4332.
  31. Band, Y. B., I. Tuvi, K.-A. Suominen, K. Burnett, and P. S. Julienne, 1994, “Loss from magneto-optical traps in strong laser fields,” Phys. Rev. A 50, R2826–R2829.
  32. Bardou, F., O. Emile, J.-M Courty, C. I. Westbrook, and A. Aspect, 1992, “Magneto-optical trapping of metastable helium: Collisions in the presence of resonant light,” Europhys. Lett. 20, 681–686.
  33. Baylis, W. E., J. Pascale, and F. Rossi, 1987, “Polarization and electronic excitation in nonreactive collisions: Basic formulation for quantum calculations of collisions between 2P-state alkali-metal atoms and H2 or D2,Phys. Rev. A 36, 4212–4218.
  34. Bergeman, T., 1997, “Hartree-Fock calculations of Bose-Einstein condensation of 7Li atoms in a harmonic trap for T>0,Phys. Rev. A 55, 3658–3669.
  35. Berlinsky, A. J., and B. Shizgal, 1980, “Spin-exchange scattering cross sections for hydrogen atoms at low temperatures,” Can. J. Phys. 58, 881–885.
  36. Bethe, H., 1935, “Theory of disintegration of nuclei by neutrons,” Phys. Rev. 47, 747–759.
  37. Blangé, J. J., J. M. Zijlstra, A. Amelink, X. Urbain, H. Rudolph, P. van der Straten, H. C. W. Beijerinck, and H. G. M. Heideman, 1997, “Vibrational State Distribution of Na2+ Ions Created in Ultracold Collisions,” Phys. Rev. Lett. 78, 3089–3092.
  38. Boesten, H. M. J. M., C. C. Tsai, B. J. Verhaar, and D. J. Heinzen, 1996, “Observation of a Shape Resonance in Cold-Atom Scattering by Pulsed Photoassociation,” Phys. Rev. Lett. 77, 5194–5197.
  39. Boesten, H. M. J. M., and B. J. Verhaar, 1994, “Simple quantum-mechanical picture of cold optical collisions,” Phys. Rev. A 49, 4240.
  40. Boesten, H. M. J. M., B. J. Verhaar, and E. Tiesinga, 1993, “Quantum suppression of collisional loss rates in optical traps,” Phys. Rev. A 48, 1428–1433.
  41. Boesten, H. M. J. M., J. M. Vogels, J. G. C. Tempelaars, and B. J. Verhaar, 1996, “Properties of cold collisions of 39K atoms and of 41K atoms in relation to Bose-Einstein condensation,” Phys. Rev. A 54, R3726–R3729.
  42. Bohn, J. L., and P. S. Julienne, 1996, “Semianalytic treatment of two-color photoassociation spectroscopy and control of cold atoms,” Phys. Rev. A 54, R4637–R4640.
  43. Bohn, J., and P. S. Julienne, 1997, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491.
  44. Boisseau, C., E. Audouard, and J. Vigué, 1998, “Quantization of the highest levels in a molecular potential,” Europhys. Lett. 41, 349–354.
  45. Boisseau, C., and J. Vigué, 1996, “Laser-dressed molecular interactions at long range,” Opt. Commun. 127, 251–256.
  46. Bonanno, R., J. Boulmer, and J. Weiner, 1983, “Determination of the absolute rate constant for associative ionization in crossed-beam collision between Na 32P3/2 atoms,” Phys. Rev. A 28, 604–608.
  47. Bradley, C. C., C. A. Sackett, and R. G. Hulet, 1997, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–988.
  48. Bradley, C. C., C. A. Sackett, J. J. Tollett, and R. G. Hulet, 1995, “Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions,” Phys. Rev. Lett. 75, 1687–1690.
  49. Burke, J. P., J. L. Bohn, B. D. Esry, and Chris H. Greene, 1997a, “Impact of the 87Rb singlet scattering length on suppressing inelastic collisions,” Phys. Rev. A 55, R2511–R2514.
  50. Burke, J. P., J. L. Bohn, B. D. Esry, and C. H. Greene, 1998, “Prospects for mixed-isotope Bose-Einstein condensation in rubidium,” Phys. Rev. Lett. 80, 2097–2108.
  51. Burnett, K., 1996, “Bose-Einstein Condensation with evaporatively cooled atoms,” Contemp. Phys. 37, 1–14.
  52. Burnett, K., P. S. Julienne, and K.-A. Suominen, 1996, “Laser driven collisions between atoms in a Bose-Einstein condensed gas,” Phys. Rev. Lett. 77, 1416–1419.
  53. Burt, E. A., R. W. Ghrist, C. J. Myatt, M. J. Holland, E. A. Cornell, and C. E. Wieman, 1997, “Coherence, correlations, and collisions: what one learns about Bose-Einstein condensates from their decay,” Phys. Rev. Lett. 79, 337–340.
  54. Bussery, B., and M. Aubert-Frecon, 1985a, “Potential energy curves and vibration-rotation energies for the two purely long-range bound states 1u and 0g of the alkali dimers M2 dissociating to M(ns2S1/2)+M(np2P3/2) with M=Na, K, Rb, and Cs,” J. Mol. Spectrosc. 113, 21–27.
  55. Bussery, B., and M. Aubert-Frecon, 1985b, “Multipolar long-range electrostatic, dispersion, and induction energy terms for the interactions between two identical alkali atoms Li, Na, K, Rb, and Cs in various electronic states,” J. Chem. Phys. 82, 3224–3234.
  56. Cable, A., M. Prentiss, and N. P. Bigelow, 1990, “Observation of sodium atoms in a magnetic molasses trap loaded by a continuous uncooled source,” Opt. Lett. 15, 507–509.
  57. Casimir, H. B. G., and D. Polder, 1948, “The influence of retardation on the London-van der Waals forces,” Phys. Rev. 73, 360–372.
  58. Castin, Y., and R. Dum, 1996, “Bose-Einstein condensation in time dependent traps,” Phys. Rev. Lett. 77, 5315–5319.
  59. Castin, Y., K. Mølmer, and J. Dalibard, 1993, “Monte Carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10, 524–538.
  60. Chu, S., J. E. Bjorkholm, A. Ashkin, and A. Cable, 1986, “Experimental observation of optically trapped atoms, ” Phys. Rev. Lett. 57, 314–317.
  61. Chu, S., L. Hollberg, J. Bjorkholm, A. Cable, and A. Ashkin, 1985, “Three-dimensional viscous confinement and cooling of atoms by resonance radiation pressure,” Phys. Rev. Lett. 55, 48–51.
  62. Clairon, A., C. Salomon, S. Guellati, and W. D. Phillips, 1991, “Ramsey resonance in a Zacharias fountain,” Europhys. Lett. 16, 165–170.
  63. Cline, R. A., J. D. Miller, and D. J. Heinzen, 1993, “Photoassociation spectrum of ultracold Rb atoms,” Phys. Rev. Lett. 71, 2204–2207.
  64. Cline, R. A., J. D. Miller, and D. J. Heinzen, 1994a, “Study of Rb2 long-range states by high-resolution photoassociation spectroscopy,” Phys. Rev. Lett. 73, 632–635.
  65. Cline, R. A., J. D. Miller, and D. J. Heinzen, 1994b, “Study of Rb2 long-range states by high-resolution photoassociation spectroscopy,” Phys. Rev. Lett. 73, 2636(E).
  66. Cline, R. W., T. J. Greytak, D. Kleppner, 1981, “Nuclear polarization of spin-polarized atomic hydrogen,” Phys. Rev. Lett. 47, 1195–1198.
  67. Cohen-Tannoudji, C., J. Dupont-Roc, and G. Grynberg, 1992, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York).
  68. Cook, R. J., 1979, “Atomic motion in resonant radiation: An application of Earnshaw’s theorem,” Phys. Rev. A 20, 224–228.
  69. Cook, R. J., 1980, “Theory of resonant-radiation pressure,” Phys. Rev. A 22, 1078–1098.
  70. Cornell, E., 1996, “Very cold indeed: The nanokelvin physics of Bose-Einstein condensation,” J. Res. Natl. Inst. Stand. Technol. 101, 419–434, and other articles in this special issue on Bose-Einstein Condensation.
  71. Côte, R., and A. Dalgarno, 1994, “Elastic scattering of two Na atoms,” Phys. Rev. A 50, 4827–4835.
  72. Côté, R., and A. Dalgarno, 1997, “Mechanism for the production of vibrationally excited ultracold molecules of 7Li2,Chem. Phys. Lett. 279, 50–54.
  73. Côté, R., A. Dalgarno, and M. J. Jamieson, 1994, “Elastic scattering of two 7Li atoms,” Phys. Rev. A 50, 399–404.
  74. Côte, R., A. Dalgarno, Y. Sun, and R. G. Hulet, 1995, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583.
  75. Côté, R., A. Dalgarno, H. Wang, and W. C. Stwalley, 1998, “Potassium scattering lengths and prospects for Bose-Einstein condensation and sympathetic cooling,” Phys. Rev. A 57, R4118–R4121.
  76. Côté, R., E. J. Heller, and A. Dalgarno, 1996, “Quantum suppression of cold atom collisions,” Phys. Rev. A 53, 234–241.
  77. Crampton, S. B., W. D. Phillips, and D. Kleppner, 1978, “Proposed low temperature hydrogen maser,” Bull. Am. Phys. Soc. 23, 86.
  78. Crampton, S. B., and H. T. M. Wang, 1975, “Duration of hydrogen atom spin-exchange collisions,” Phys. Rev. A 12, 1305–1312.
  79. Dalgarno, A., 1961, “Spin-change cross sections,” Proc. R. Soc. London, Ser. A 262, 132–135.
  80. Dalibard, J., 1988, “Laser cooling of an optically thick gas: The simplest radiation pressure trap?,” Opt. Commun. 68, 203–208.
  81. Dalibard, J., and C. Cohen-Tannoudji, 1985, “Dressed-atom approach to atomic motion in laser light: the dipole force revisited,” J. Opt. Soc. Am. B 2, 1707–1720.
  82. Dalibard, J., and C. Cohen-Tannoudji, 1989, “Laser cooling below the Doppler limit by polarization gradients: Simple theoretical models,” J. Opt. Soc. Am. B 6, 2023.
  83. Dasheveskaya, E. I., 1979, “Effect of short-range forces and of twisting on intramultiplet mixing in collision of alkali-metal atoms,” Opt. Spectrosc. 46, 236–240.
  84. Dasheveskaya, E. I., A. I. Voronin, and E. E. Nikitin, 1969, “Theory of excitation transfer between alkali atoms. I. Identical partners,” Can. J. Phys. 47, 1237–1248.
  85. Davis, K. B., M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, 1995, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973.
  86. Davis, K. B., M. Mewes, M. A Joffe, M. R. Andrews, and W. Ketterle, 1995, “Evaporative cooling of sodium atoms,” Phys. Rev. Lett. 74, 5202–5205.
  87. De Goey, L. P. H., H. T. C. Stoof, B. J. Verhaar, and W. Glockle, 1988, “Role of three-body correlations in recombination of spin-polarized atomic hydrogen,” Phys. Rev. B 38, 646–658.
  88. De Goey, L. P. H., T. H. M. Van der Berg, N. Mulders, H. T. C. Stoof, and B. J. Verhaar, 1986, “Three-body recombination in spin-polarized atomic hydrogen,” Phys. Rev. B 34, 6183–6191.
  89. Delves, L. M., 1958, “Effective range expansions of the scattering matrix,” Nucl. Phys. 8, 358–373.
  90. Dodd, R. J., Mark Edwards, C. J. Williams, C. W. Clark, M. J. Holland, P. A. Ruprecht, K. Burnett, 1996, “Role of attractive interactions on Bose-Einstein condensation,” Phys. Rev. A 54, 661–664.
  91. Doery, M. R., E. J. D. Vredengbregt, J. G. C. Tempelaars, H. C. W. Beijerinck, and B. J. Verhaar, 1998, “Long-range diatomic S+P potentials of heavy rare gases,” Phys. Rev. A 57 (in press).
  92. Doyle, J. M., B. Friedrich, J. Kim, and D. Patterson, 1995, “Buffer-gas loading of atoms and molecules into a magnetic trap,” Phys. Rev. A 52, R2515–R2518.
  93. Dulieu, O., A. Giusti-Suzor, and F. Masnou-Seeuws, 1991, “Theoretical treatment of the associative ionization reaction between two laser-excited sodium atoms. Direct and indirect processes,” J. Phys. B 24, 4391–4408.
  94. Dulieu, O., and P. S. Julienne, 1995, “Coupled channel bound states calculations for alkali dimers using the Fourier grid method,” J. Chem. Phys. 103, 60–66.
  95. Dulieu, O., P. D. Lett, K. Jones, U. Volz, C. Amiot, and F. Masnou-Seeuws, 1997, “Interpretation of Two-Color Photoassociation Spectroscopy Experiments in a Cold Sodium Sample: Evidence for a 1Πu Doubly-Excited Autoionizing State,” Poster TU172, Abstracts of Contributed Papers, XX, ICPEAC, edited by F. Aumayr, G. Getz, and H. P. Winter (Icpeac, Vienna), vol. II.
  96. Dulieu, O., S. Magnier, and F. Masnou-Seeuws, 1994, “Doubly-excited states for the Na2 molecule: application to the dynamics of the associative ionization reaction,” Z. Phys. D 32, 229–240.
  97. Dulieu, O., J. Weiner, and P. S. Julienne, 1994, “On the accuracy of molecular data in the understanding of ultracold collisions,” Phys. Rev. A 49, 607–610.
  98. Edwards, M., and K. Burnett, 1995, “Numerical solution of the nonlinear Schroedinger equation for small samples of trapped neutral atoms,” Phys. Rev. A 51, 1382–1386.
  99. Esry, B. D., C. H. Greene, J. P. Burke, and J. L. Bohn, 1997, “Hartree-Fock theory for double condensates,” Phys. Rev. Lett. 78, 3594–3597.
  100. Esry, B. D., C. H. Greene, Y. Zhou, and C. D. Lin, 1996, “Role of the scattering length in three-boson dynamics and Bose–Einstein condensation,” J. Phys. B 29, L51–L57.
  101. Faulstich, A., A. Schnetz, M. Sigel, T. Sleator, O. Carnal, V. Balykin, H. Takuma, and J. Mlynik, 1992, “Strong velocity compression of a supersonic atomic beam using moving optical molasses,” Europhys. Lett. 17, 393–399.
  102. Fedichev, P. O., Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, 1996, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916.
  103. Fedichev, P. O., M. W. Reynolds, U. M. Rahmanov, G. V. Shlyapnikov, 1996, “Inelastic decay processes in a gas of spin-polarized triplet helium,” Phys. Rev. A 53, 1447–1453.
  104. Fedichev, P. O., M. W. Reynolds, and G. V. Shlyapnikov, 1996, “Three-body recombination of ultracold atoms to a weakly bound s level,” Phys. Rev. Lett. 77, 2921–2924.
  105. Feng, P., D. Hoffmann, and T. Walker, 1993, “Comparison of trap-loss collision spectra for 85Rb and 87Rb,Phys. Rev. A 47, R3495–R3498.
  106. Fioretti, A., D. Comparat, A. Crubellier, O. Dulieu, F. Masnou-Seeuws, and P. Pillet, 1998, “Cs2 cold molecule formation through photoassociative scheme in a Cs vapor-cell magneto-optical trap,” Phys. Rev. Lett. 80, 4402–4405.
  107. Fioretti, A., J. H. Müller, P. Verkerk, M. Allegrini, E. Arimondo, and P. S. Julienne, 1997, “Direct measurement of fine-structure collisional losses from a Cs magneto optical trap,” Phys. Rev. A 55, R3999–R4002.
  108. Flemming, J., A. M. Tuboy, D. M. B. P. Milori, L. G. Marcassa, S. C. Zilio, and V. S. Bagnato, 1997, “Magneto-Optical Trap for Sodium Atoms Operating on the D1 Line,” Opt. Commun. 135, 269–272.
  109. Freeland, R. S., C. C. Tsai, M. Marinescu, R. A. Cline, J. D. Miller, C. J. Williams, A. Dalgarno, and D. J. Heinzen, 1997, Department of Physics, University of Texas, Austin (unpublished).
  110. Fried, D. G., T. C. Killian, L. Willmann, D. Landhuis, A. C. Moss, T. J. Greytak, and D. Kleppner, 1998, “Bose-Einstein Condensation of Atomic Hydrogen,” Phys. Rev. Lett. 81, 3811–3814.
  111. Frisch, C. R., 1933, “Experimenteller Nachweis des Einsteinschen Strahlungsruckstosses,” Z. Phys. 86, 42–48.
  112. Gallagher, A., 1991, “Associative ionization in collisions of slowed and trapped sodium,” Phys. Rev. A 44, 4249–4259.
  113. Gallagher, A., and D. E. Pritchard, 1989, “Exoergic collisions of cold Na*Na,Phys. Rev. Lett. 63, 957–960.
  114. Gao, B., 1997, “Theory of slow-atom collisions,” Phys. Rev. A 54, 2022–2039.
  115. Gardner, J. R., R. A. Cline, J. D. Miller, D. J. Heinzen, H. M. J. M. Boesten, and B. J. Verhaar, 1995, “Collisions of doubly spin-polarized, ultracold 85Rb atoms,” Phys. Rev. Lett. 74, 3764–3767.
  116. Gaupp, A., P. Kuske, and H. J. Andrä, 1982, “Accurate lifetime measurements of the lowest 2P1/2 states in neutral lithium and sodium,” Phys. Rev. A 26, 3351–3359.
  117. Gensemer, S. D., and P. L. Gould, 1997, “Ultracold collisions observed in real time,” Phys. Rev. Lett. 80, 936–939.
  118. Gensemer, S. D., V. Sanchez-Villicana, K. Y. N. Tan, T. T. Grove, and P. L. Gould, 1997, “Trap-loss collisions of 85Rb and 87Rb: Dependence on trap parameters,” Phys. Rev. A 56, 4055–4063.
  119. Ghezali, S., Ph. Laurent, S. N. Lea, and A. Clairon, 1996, “An experimental study of the spin-exchange frequency shift in a laser-cooled cesium fountain frequency standard,” Europhys. Lett. 36, 25–30.
  120. Gibble, K., S. Chang, and R. Legere, 1995, “Direct observation of s-wave atomic collisions,” Phys. Rev. Lett. 75, 2666–2669.
  121. Gibble, K., and S. Chu, 1992, “Future slow-atom frequency standards,” Metrologia 29, 201–212.
  122. Gibble, K., and S. Chu, 1993, “Laser-cooled Cs frequency standard and a measurement of the frequency shift due to ultracold collisions,” Phys. Rev. Lett. 70, 1771–1774.
  123. Gibble, K., and B. J. Verhaar, 1995, “Eliminating cold-collision frequency shifts,” Phys. Rev. A 52, 3370–3373.
  124. Gordon, J. P., and A. Ashkin, 1980, “Motion of atoms in a radiation trap,” Phys. Rev. A 21, 1606–1617.
  125. Gott, Y. V., M. S. Ioffe, and V. G. Telkovsky, 1962, Nuclear Fusion (International Atomic Energy Agency, Vienna), Suppl. Pt. 3, p. 1045.
  126. Gould, P. L., P. D. Lett, P. S. Julienne, W. D. Phillips, H. R. Thorsheim, and J. Weiner, 1988, “Observation of associative ionization of ultracold laser–trapped sodium atoms,” Phys. Rev. Lett. 60, 788–791.
  127. Gribakin, G. F., and V. V. Flambaum, 1993, “Calculation of the scattering length in atomic collisions using the semiclassical approximation,” Phys. Rev. A 48, 546–553.
  128. Han, D.-J., R. A. Rynar, Ph. Courteille, and D. J. Heinzen, 1997, “Bose-Einstein condensation of large numbers of 87Rb atoms in a magnetic TOP trap,” Phys. Rev. A 57, 958–975.
  129. Heather, R. W., and P. S. Julienne, 1993, “Theory of laser-induced associative ionization of ultracold Na,” Phys. Rev. A 47, 1887–1906.
  130. Heinzen, D. J., 1995, “Collisions of Ultracold Atoms in Optical Fields,” in Atomic Physics 14, edited by D. J. Wineland, C. E. Wieman, and S. J. Smith (American Institute of Physics, New York), pp. 369–388.
  131. Henriet, A., F. Masnou-Seeuws, and O. Dulieu, 1991, “Diabatic representation for the excited states of the Na2 molecule: application to the associative ionization reaction between two excited sodium atoms,” Z. Phys. D 18, 287–298.
  132. Herschbach, D. R., 1966, Advances in Chemical Physics, Vol X, Molecular Beams, edited by J. Ross (Wiley Interscience, New York), pp. 319–393.
  133. Herzberg, G., 1950, Molecular Spectra and Molecular Structure. I. Spectra of Diatomic Molecules, Second Ed. (van Nostrand, Princeton).
  134. Hess, H. F., 1986, “Evaporative cooling of magnetically trapped and compressed spin-polarized hydrogen,” Phys. Rev. B 34, 3476–3479.
  135. Hess, H. F., G. P. Kochanski, J. M. Doyle, T. J. Greytak, and D. Kleppner, 1986, “Spin-polarized hydrogen maser,” Phys. Rev. A 34, 1602–1604.
  136. Hess, H. F., G. P. Kochanski, J. M. Doyle, N. Mashuhara, D. Kleppner, and T. J. Greytak, 1987, “Magnetic trapping of spin-polarized atomic hydrogen,” Phys. Rev. Lett. 59, 672–675.
  137. Hoffmann, D., S. Bali, and T. Walker, 1996, “Trap-depth measurements using ultracold collisions,” Phys. Rev. A 54, R1030–R1033.
  138. Hoffmann, D., P. Feng, and T. Walker, 1994, “Measurements of Rb trap-loss collision spectra,” J. Opt. Soc. Am. B 11, 712.
  139. Hoffmann, D., P. Feng, R. S. Williamson, and T. Walker, 1992, “Excited-state collision of trapped 85Rb atoms,” Phys. Rev. Lett. 69, 753–756.
  140. Holland, M. J., D. S. Jin, M. L. Chiofalo, and J. Cooper, 1997, “Emergence of interaction effects in Bose-Einstein condensation,” Phys. Rev. Lett. 78, 3801–3805.
  141. Holland, M. J., K.-A. Suominen, and K. Burnett, 1994, “Cold collisions in a laser field: Quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530.
  142. Hoogerland, M., 1993, Ph.D. thesis (Eindhoven University).
  143. Huang, K., and C. N. Yang, 1957, “Quantum mechanical many-body problem with hard-sphere interactions,” Phys. Rev. 105, 767–775.
  144. Huennekens, J., and A. Gallagher, 1983, “Associative ionization in collisions between two Na(3P) atoms,” Phys. Rev. A 28, 1276–1287.
  145. Hurlimann, M. D., W. N. Hardy, A. J. Berlinski, and R. W. Cline, 1986, “Recirculating cryogenic hydrogen maser,” Phys. Rev. A 34, 1605–1608.
  146. Huynh, B., O. Dulieu, and F. Masnou-Seeuws, 1998, “Associative ionization between two laser-excited sodium atoms: Theory compared to experiment,” Phys. Rev. A 57, 958–975.
  147. Inoue, G., J. K. Ku, and D. W. Setser, 1982, “Photoassociative laser induced fluorescence of Xe Cl,” J. Chem. Phys. 76, 733–734.
  148. Inouye, S., M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, 1998, “Observation of Feshbach Resonances in a Bose-Einstein Condensate,” Nature (London) 392, 151–154.
  149. Jamieson, M. J., A. Dalgarno, J. M. Doyle, 1996, “Scattering lengths for collisions of ground state and metastable state hydrogen atoms,” Mol. Phys. 87, 817–826.
  150. Jessen, P. S., and I. H. Deutsch, 1996, “Optical Lattices,” Adv. At., Mol., Opt. Phys. 37, 95–138.
  151. Jones, K. M., P. S. Julienne, P. D. Lett, W. D. Phillips, E. Tiesinga, and C. J. Williams, 1996, “Measurement of the atomic Na(3P) lifetime and of retardation in the interaction between two atoms bound in a molecule,” Europhys. Lett. 35, 85–90.
  152. Jones, K. M., S. Maleki, S. Bize, P. D. Lett, C. J. Williams, H. Richling, H. Knöckel, E. Tiemann, H. Wang, P. L. Gould, and W. C. Stwalley, 1996, “Direct measurement of the ground-state dissociation energy of Na2,Phys. Rev. A 54, R1006–R1009.
  153. Jones, K. M., S. Maleki, L. P. Ratliff, and P. D. Lett, 1997, “Two-colour photoassociation spectroscopy of ultracold sodium,” J. Phys. B 30, 289–308.
  154. Jones, R. B., J. H. Schloss, and J. G. Eden, 1993, “Excitation spectra for the photoassociation of Kr–F and Xe-I collision pairs in the ultraviolet (209–258 nm),” J. Chem. Phys. 98, 4317–4334.
  155. Julienne, P. S., 1988, “Laser modification of ultracold atomic collision in optical traps,” Phys. Rev. Lett. 61, 698–701.
  156. Julienne, P. S., 1996, “Cold binary atomic collision in a light field,” J. Res. Natl. Inst. Stand. Technol. 101, 487–503.
  157. Julienne, P. S., K. Burnett, Y. B. Band, and W. C. Stwalley, 1998, “Stimulated Raman molecule production in Bose-Einstein condensates,” Phys. Rev. A 58, R797–R800.
  158. Julienne, P. S., and R. Heather, 1991, “Laser modification of ultracold atomic collisions: Theory,” Phys. Rev. Lett. 67, 2135–2138.
  159. Julienne, P. S., and F. H. Mies, 1989, “Collisions of ultracold trapped atoms,” J. Opt. Soc. Am. B 6, 2257–2269.
  160. Julienne, P. S., F. H. Mies, E. Tiesinga, and C. J. Williams, 1997, “Collisional stability of double Bose condensates,” Phys. Rev. Lett. 78, 1880–1883.
  161. Julienne, P. S., A. M. Smith, and K. Burnett, 1993, “Theory of collisions between laser cooled atoms,” Advances in Atomic, Molecular, and Optical Physics (Academic Press), Vol. 30, pp. 141–198.
  162. Julienne, P. S., K.-A. Suominen, and Y. Band, 1995, “Complex-potential model of collisions of laser-cooled atoms,” Phys. Rev. A 49, 3890–3896.
  163. Julienne, P. S., and J. Vigué, 1991, “Cold collisions of ground- and excited-state alkali-metal atoms,” Phys. Rev. A 44, 4464–4485.
  164. Julienne, P. S., C. Williams, O. Dulieu, and Y. B. Band, 1994, “Calculations of collisional loss rates of trapped Li atoms,” Laser Phys. 4, 1076–1084.
  165. Kagan, Yu., B. V. Svistunov, and G. V. Shlyapnikov, 1985, “Effect of Bose-Einstein condensation on inelastic processes in gases,” Pis’ma Zh. Eksp. Teor. Fiz. 42, 169–172 (JETP Lett. 42, 209–212).
  166. Kasevich, M. A., E. Riis, S. Chu, and R. G. DeVoe, 1989, “Rf spectroscopy in an atomic fountain,” Phys. Rev. Lett. 63, 612–615.
  167. Katori, H., H. Kunugita, and T. Ido, 1995, “Quantum statistical effect on ionizing collisions of ultracold metastable Kr isotopes,” Phys. Rev. A 52, R4324–R4327.
  168. Katori, H., and F. Shimizu, 1994, “Laser-Induced Ionizing Collisions of Ultracold Krypton Gas in the 1s5 Metastable State,” Phys. Rev. Lett. 73, 2555–2558.
  169. Kawanaka, J., K. Shimizu, H. Takuma, and F. Shimizu, 1993, “Quadratic collisional loss rate of a 7Li trap,” Phys. Rev. A 48, R883–R885.
  170. Kazantsev, A. P., G. I. Surdutovich, D. O. Chudesnikov, and V. P. Yakovlev, 1989, “Scattering, Velocity Bunching, and Self-Localization of Atoms in a Light Field,” J. Opt. Soc. Am. B 6, 2130–2139.
  171. Ketterle, W., K. B. Davis, M. A. Joffe, A. Martin, and D. Pritchard, 1993, “High densities of cold atoms in a dark spontaneous-force optical trap,” Phys. Rev. Lett. 70, 2253–2256.
  172. Ketterle, W., and H.-J. Miesner, 1997, “Coherence properties of Bose condensates and atom lasers,” Phys. Rev. A 56, 3291–3293.
  173. Ketterle, W., and N. J. Van Druten, 1996, “Evaporative cooling of trapped atoms,” Adv. At., Mol., Opt. Phys. 37, 181–236.
  174. King, G. W., and J. H. Van Vleck, 1939, “Dipole-Dipole Resonance Forces,” Phys. Rev. 55, 1165–1172.
  175. Kleppner, D., H. C. Berg, S. B. Crampton, N. F. Ramsey, R. C. Vessot, H. E. Peters, and J. Vanier, 1965, “Hydrogen-maser principles and techniques,” Phys. Rev. 138, A972–A983.
  176. Koelman, J. M. V. A., S. B. Crampton, H. T. C. Stoof, O. J. Luiten, and B. J. Verhaar, 1988, “Spin-exchange frequency shifts in cyrogenic and room-temperature hydrogen masers,” Phys. Rev. A 38, 3535–3547.
  177. Koelman, J. M. V. A., H. T. C. Stoof, B. J. Verhaar, and J. T. M. Walraven, 1987, “Spin polarized deuterium in magnetic traps,” Phys. Rev. Lett. 59, 676–679.
  178. Koelman, J. M. V. A., H. T. C. Stoof, B. J. Verhaar, and J. T. M. Walraven, 1988, “Lifetime of magnetically trapped ultracold atomic deuterium gas,” Phys. Rev. B 38, 9319–9322.
  179. Kokkelmans, S. J. J. M. F., H. M. J. M. Boesten, and B. J. Verhaar, 1997, “Role of collisions in creation of overlapping Bose condensates,” Phys. Rev. A 55, R1589–R1592.
  180. Kokkelmans, S. J. J. M. F., B. J. Verhaar, K. Gibble, and D. J. Heinzen, 1997, “Predictions for laser-cooled Rb clocks,” Phys. Rev. A 56, R4389–R4392.
  181. Krauss, M., and W. J. Stevens, 1990, “Effective core potentials and accurate energy curves for Cs2 and other alkali diatomics,” Chem. Phys. 93, 4236–4242.
  182. Kunugita, H., T. Ido, and F. Shimizu, 1997, “Ionizing collision rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624.
  183. Kuyatt, C. E., 1967, Electron Optics Lectures (unpublished, but available from the author at NIST).
  184. Lagendijk, A., I. F. Silvera, and B. J. Verhaar, 1986, “Spin-exchange and dipolar relaxation rates in atomic hydrogen: Lifetimes in magnetic traps,” Phys. Rev. B 33, 626–628.
  185. Lai, W. K., K.-A. Suominen, B. M. Garraway, and S. Stenholm, 1993, “Dissipation effects on wave packets in level crossings: A comparison between two numerical approaches,” Phys. Rev. A 47, 4779–4785.
  186. Laloë, F., Ed., 1980, Spin polarized quantum systems, Supplement to J. Phys. (Paris), Colloque C7.
  187. Lawall, J., C. Orzel, and S. L. Rolston, 1998, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483.
  188. Lee, T. D., and C. N. Yang, 1958, “Low-temperature behavior of dilute Bose system of hard spheres. I. Equilibrium properties,” Phys. Rev. 112, 1419–1429.
  189. Leo, P., E. Tiesinga, P. S. Julienne, D. K. Walter, S. Kadlecek, and T. G. Walter, 1998, “Elastic and inelastic collisions of cold spin-polarized 133Cs atoms,” Phys. Rev. Lett. 81, 1389–1392.
  190. Leonhardt, D., and J. Weiner, 1995, “Direct two-color photoassociative ionization in a rubidium magneto-optic trap,” Phys. Rev. A 52, R4332–R4335.
  191. Leonhardt, D., and J. Weiner, 1996, “Direct two-color photoassociative ionization in a rubidium magneto-optic trap,” Phys. Rev. A 53, 2904(E).
  192. LeRoy, R. J., and R. B Bernstein, 1970, “Dissociation energy and long-range potential of diatomic molecules form vibrational spacings of higher levels,” J. Chem. Phys. 52, 3869–3879.
  193. Lett, P. D., K. Helmerson, W. D. Phillips, L. P. Ratliff, S. L. Rolston, and M. E. Wagshul, 1993, “Spectroscopy of Na2 by photoassociation of laser-cooled Na,” Phys. Rev. Lett. 71, 2200–2203.
  194. Lett, P. D., P. S. Jessen, W. D. Phillips, S. L. Rolston, C. I. Westbrook, and P. L. Gould, 1991, “Laser modification of ultracold collisions: Experiment,” Phys. Rev. Lett. 67, 2139–2142.
  195. Lett, P. D., P. S. Julienne, and W. D. Phillips, 1996, “Photoassociative spectroscopy of laser cooled atoms,” Annu. Rev. Phys. Chem. 46, 423–452.
  196. Lett, P. D., K Mølmer, S. D. Gensemer, K. Y. N. Tan, A. Kumarakrishnan, C. D. Wallace, and P. L. Gould, 1995, “Hyperfine structure modifications of collisional losses from light-force atom traps,” J. Phys. B 28, 65–81.
  197. Lett, P. D., R. N. Watts, C. I Westbrook, W. D. Phillips, P. L. Gould, and H. J. Metcalf, 1988, “Observation of Atoms, Laser-Cooled Below the Doppler Limit,” Phys. Rev. Lett. 61, 169–172.
  198. Lovelace, R. V. E., C. Mehanian, T. J. Tommila, and D. M. Lee, 1985, “Magnetic confinement of a neutral gas,” Nature (London) 318, 30–36.
  199. Lu, Z. T., K. L. Corwin, M. J. Renn, M. H. Anderson, E. A. Cornell, and C. E. Wieman, 1996, “Low-velocity intense source of atoms from a magneto-optical trap,” Phys. Rev. Lett. 77, 3331–3334.
  200. Maan, A. C., H. T. C. Stoof, and B. J. Verhaar, 1990, “Cryogenic H maser in a strong B field,” Phys. Rev. A 41, 2614–2620.
  201. Magnier, S., Ph. Millié, O. Dulieu, F. Masnou-Seeuws, 1993, “Potential curves for the ground and excited states for the Na2 molecule up to the (3s+5p) dissociation limit: Results of two different effective potential calculations,” J. Chem. Phys. 98, 7113–7125.
  202. Marcassa, L., V. Bagnato, Y. Wang, C. Tsao, J. Weiner, O. Dulieu, Y. B. Band, and P. S. Julienne, 1993, “Collisional loss rate in a magneto-optical trap for sodium atoms: Light-intensity dependence,” Phys. Rev. A 47, R4563–R4566.
  203. Marcassa, L., K. Helmerson, A. M. Tuboy, D. M. B. P. Milori, S. R. Muniz, J. Flemming, S. C. Zilio, and V. S. Bagnato, 1996, “Collisional loss rate of sodium atoms in a magneto-optical trap operating on the D1 line,” J. Phys. B 29, 3051–3057.
  204. Marcassa, L., R. Horowicz, S. Zilio, V. Bagnato, and J. Weiner, 1995, “Intensity dependence of optical suppression in photoassociative ionization collisions in a sodium magneto-optic trap,” Phys. Rev. A 52, R913–R916.
  205. Marcassa, L., S. Muniz, E. de Queiroz, S. Zilio, V. Bagnato, J. Weiner, P. S. Julienne, and K.-A. Suominen, 1994, “Optical suppression of photoassociative ionization in a magneto-optical trap,” Phys. Rev. Lett. 73, 1911–1914.
  206. Marcassa, L., S. R. Muniz, and J. Flemming, 1997, “Optical catalysis in a Na-vapor cell MOT,” Braz. J. Phys. 27, 238–242.
  207. Mastwijk, H. C., J. W. Thomsen, P. van der Straten, and A. Niehaus, 1998, “Optical collisions of cold, metastable helium atoms,” Phys. Rev. Lett. 80, 5516–5519.
  208. Masuhara, N., J. M. Doyle, J. C. Sandberg, D. Kleppner, and T. J. Greytak, 1988, “Evaporative cooling of spin-polarized atomic hydrogen,” Phys. Rev. Lett. 61, 935–938.
  209. McAlexander, W. I., E. R. I. Abraham, and R. G. Hulet, 1996, “Radiative lifetime of the 2P state of lithium,” Phys. Rev. A 54, R5–R8.
  210. McAlexander, W. I., E. R. I. Abraham, N. W. M. Ritchie, C. J. Williams, H. T. C. Stoof, and R. G. Hulet, 1995, “Precise atomic radiative lifetime via photoassociative spectroscopy of ultracold lithium,” Phys. Rev. A 51, R871–R874.
  211. McLone, R. R., and E. A. Power, 1964, “On the interaction between two identical neutral dipole systems, one in an excited state and the other in the ground state,” Mathematika 11, 91–94.
  212. Meath, W. J., 1968, “Retarded interaction energies between like atoms in different energy states,” J. Chem. Phys. 48, 227–235.
  213. Metcalf, H., and P. van der Straten, 1994, “Cooling and trapping of neutral atoms,” Phys. Rep. 244, 203–286.
  214. Mewes, M.-O., M. R. Andrews, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, 1997, “Output coupler for Bose-Einstein condensed atoms,” Phys. Rev. Lett. 78, 582–585.
  215. Mewes, M.-O., M R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, 1996, “Bose-Einstein condensation in a tightly confining dc magnetic trap,” Phys. Rev. Lett. 77, 416–419.
  216. Mies, F. H., 1973a, “Molecular theory of atomic collisions: Fine-structure transitions,” Phys. Rev. A 7, 942–957.
  217. Mies, F. H., 1973b, “Molecular theory of atomic collisions: Calculated cross sections for H++F(2P),Phys. Rev. A 7, 957–967.
  218. Mies, F. H., C. J. Williams, P. S. Julienne, and M. Krauss, 1996, “Estimating bounds on collisional relaxation rates of spin-polarized 87Rb atoms at ultracold temperatures,” J. Res. Natl. Inst. Stand. Technol. 101, 521–535.
  219. Migdall, A. L., J. V. Prodan, W. D. Phillips, T. H. Bergman, and H. J. Metcalf, 1985, “First observation of magnetically trapped neutral atoms,” Phys. Rev. Lett. 54, 2596–2599.
  220. Miller, J. D., R. A. Cline, and D. J. Heinzen, 1993a, “Far-off-resonance optical trapping of atoms,” Phys. Rev. A 47, R4567–R4570.
  221. Miller, J. D., R. A. Cline, and D. J. Heinzen, 1993b, “Photoassociation spectrum of ultracold Rb atoms,” Phys. Rev. Lett. 71, 2204–2207.
  222. Moerdijk, A. J., H. M. J. M. Boesten, and B. J. Verhaar, 1996, “Decay of trapped ultracold alkali atoms by recombination,” Phys. Rev. A 53, 916–920.
  223. Moerdijk, A. J., W. C. Stwalley, R. G. Hulet, and B. J. Verhaar, 1994, “Negative scattering length of ultracold 7Li Gas,” Phys. Rev. Lett. 72, 40–43.
  224. Moerdijk, A. J., and B. J. Verhaar, 1994, “Prospects for Bose-Einstein condensation in atomic 7Li and 23Na,Phys. Rev. Lett. 73, 518–521.
  225. Moerdijk, A. J., and B. J. Verhaar, 1995, “Laser cooling and the highest bound states of the Na diatom system,” Phys. Rev. A 51, R4333–R4436.
  226. Moerdijk, A. J., and B. J. Verhaar, 1996, “Collisional two- and three-body decay rates of dilute quantum gases at ultralow temperatures,” Phys. Rev. A 53, R19–R22.
  227. Moerdijk, A. J., B. J. Verhaar, and A. Axelsson, 1995, “Resonances in ultracold collisions of 6Li, 7Li, and 23Na,Phys. Rev. A 51, 4852–4861.
  228. Moerdijk, A. J., B. J. Verhaar, and T. M. Nagtegaal, 1996, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351.
  229. Moi, L., 1984, “Application of a very long cavity laser to atom slowing down and optical pumping,” Opt. Commun. 50, 349–352.
  230. Molenaar, P. A., P. van der Straten, and H. G. M. Heidemann, 1996, “Long-range predissociation in two-color photoassociation of ultracold Na atoms,” Phys. Rev. Lett. 77, 1460–1463.
  231. Monroe, C., 1992, Ph.D. Dissertation (University of Colorado).
  232. Monroe, C. R., E. A. Cornell, C. A. Sackett, C. J. Myatt, and C. E. Wieman, 1993, “Measurement of Cs-Cs elastic scattering at T=30μK,Phys. Rev. Lett. 70, 414–417.
  233. Monroe, C., W. Swann, H. Robinson, and C. Wieman, 1990, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574.
  234. Morinaga, M., M. Yasuda, T. Kishimoto, and F. Shimizu, 1996, “Holographic manipulation of a cold atomic beam,” Phys. Rev. Lett. 77, 802–805.
  235. Mott, N. F., and H. S. W. Massey, 1965, The Theory of Atomic Collisions, Third Edition (Clarendon, Oxford).
  236. Mourachko, I., D. Comparat, F. de Tomasi, A. Fioretti, P. Nosbaum, V. M. Akulin, and P. Pillet, 1998, “Many-body effects in a frozen Rydberg gas,” Phys. Rev. Lett. 80, 253–256.
  237. Movre, M., and G. Pichler, 1977, “Resonance interaction and self-broadening of alkali resonance lines I. Adiabatic potential curves,” J. Phys. B 10, 2631–2638.
  238. Muniz, S. R., L. G. Marcassa, R. Napolitano, G. D. Telles, J. Weiner, S. C. Zilio, and V. S. Bagnato, 1997, “Optical suppression of hyperfine-changing collisions in a sample of ultracold sodium atoms,” Phys. Rev. A 55, 4407–4411.
  239. Myatt, C. J., E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, 1997, “Production of two overlapping Bose-Einstein condensates by sympathetic cooling,” Phys. Rev. Lett. 78, 586–589.
  240. Myatt, C. J., N. R. Newbury, R. W. Ghrist, S. Loutzenhiser, and C. E. Wieman, 1996, “Multiply loaded magneto-optical trap,” Opt. Lett. 21, 290–292.
  241. Napolitano, R., J. Weiner, and P. S. Julienne, 1997, “Theory of optical suppression of ultracold-collision rates by polarized light,” Phys. Rev. A 55, 1191–1207.
  242. Napolitano, R., J. Weiner, C. J. Williams, and P. S. Julienne, 1994, “Line shapes of high resolution photoassociation spectra of optically cooled atoms,” Phys. Rev. Lett. 73, 1352–1355.
  243. Nellessen, J., J. Werner, and W. Ertmer, 1990, “Magneto-optical compression of a monoenergetic sodium atomic beam,” Opt. Commun. 78, 300–308.
  244. Newbury, N. R., C. J. Myatt, and C. E. Wieman, 1995, “s-wave elastic collisions between cold ground state 87Rb atoms,” Phys. Rev. A 51, R-2680–R2683.
  245. Orzel, C., S. D. Bergeson, S. Kulin, and S. L. Rolston, 1998, “Time-resolved studies of ultra-cold ionizing collisions,” Phys. Rev. Lett. 80, 5093–5096.
  246. Peters, M. G., D. Hoffmann, J. D. Tobiason, and T. Walker, 1994, “Laser-induced ultracold Rb(5S1/2)+Rb(5P1/2) collisions,” Phys. Rev. A 50, R906–R909.
  247. Phillips, W. D., J. V. Prodan, and H. J. Metcalf, 1985, “Laser cooling and electromagnetic trapping of neutral atoms,” J. Opt. Soc. Am. B 2, 1751–1767.
  248. Pierce, J. R., 1954, Theory and Design of Electron Beams, 2nd ed. (Van Nostrand, Princeton, NJ).
  249. Pillet, P., A. Crubellier, A. Bleton, O. Dulieu, P. Nosbaum, I. Mourachko, and F. Masnou-Seeuws, 1997, “Photoassociation in a gas of cold alkali atoms: I. Perturbative quantum approach,” J. Phys. B 30, 2801–2820.
  250. Prentiss, M., A. Cable, J. Bjorkholm, S. Chu, E. Raab, and D. Pritchard, 1988, “Atomic-density-dependent losses in an optical trap,” Opt. Lett. 13, 452–454.
  251. Pritchard, D. E., 1983, “Cooling neutral atoms in a magnetic trap for precision spectroscopy,” Phys. Rev. Lett. 51, 1336–1339.
  252. Pritchard, D. E., 1986, in Electron and Atomic Collisions, edited by D. C. Lorents, W. E. Meyerhof, and J. R. Petersen (North Holland, Amsterdam), pp. 593–604.
  253. Pritchard, D. E., E. L. Raab, V. Bagnato, C. E. Wieman, and R. N. Watts, 1986, “Light traps using spontaneous forces,” Phys. Rev. Lett. 57, 310–313.
  254. Prodan, J. V., W. D. Phillips, and H. J. Metcalf, 1982, “Laser production of a very slow monoenergetic atomic beam,” Phys. Rev. Lett. 49, 1149.
  255. Raab, E., M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, 1987, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634.
  256. Rafac, R. J., C. E. Tanner, A. E. Livingston, K. W. Kukla, H. G. Berry, and C. A. Kurtz, 1994, “Precision lifetime measurements of the 6p 2P1/2,3/2 states in atomic cesium,” Phys. Rev. A 50, R1976.
  257. Ratliff, L. P., M. E. Wagshul, P. D. Lett, S. L. Rolston, and W. D. Phillips, 1994, “Photoassociative spectroscopy of 1g, 0u+, and 0g states of Na2,J. Chem. Phys. 101, 2638–2641.
  258. Riis, E., D. S. Weiss, K. A. Moler, and S. Chu, 1990, “Atom funnel for the production of a slow, high-density atomic beam,” Phys. Rev. Lett. 64, 1658–1661.
  259. Ritchie, N. W. M., E. R. I. Abraham, and R. G. Hulet, 1994, “Trap loss collisions of 7Li: The Role of Trap Depth,” Laser Phys. 4, 1066–1075.
  260. Ritchie, N. W. M., E. R. I. Abraham, Y. Y. Xiao, C. C. Bradley, R. G. Hulet, and P. S. Julienne, 1995, “Trap-loss collisions of ultracold lithium atoms,” Phys. Rev. A 51, R890–R893.
  261. Rolston, S., 1997, NIST, private communication.
  262. Sackett, C. A., C. C. Bradley, and R. G. Hulet, 1997, “Optimization of evaporative cooling,” Phys. Rev. A 55, 3797–3801.
  263. Sanchez-Villicana, V., S. D. Gensemer, and P. L. Gould, 1996, “Observation of flux enhancement in collisions between ultracold atoms,” Phys. Rev. A 54, R3730–R3733.
  264. Sanchez-Villicana, V., S. D. Gensemer, K. Y. N. Tan, A. Kumarakrishnan, T. P. Dinneen, W. Süptitz, and P. L. Gould, 1995, “Suppression of ultracold ground-state hyperfine-changing collisions with laser light,” Phys. Rev. Lett. 74, 4619–4622.
  265. Santos, M. S., P. Nussenzveig, L. G. Marcassa, K. Helmerson, J. Flemming, S. C. Zilio, and V. S. Bagnato, 1995, “Simultaneous trapping of two different atomic species in a vapor-cell magneto-optical trap,” Phys. Rev. Lett. 52, R4340–R4343.
  266. Santos, M., P. Nussenzveig, S. Zilio, and V. S. Bagnato, 1996, “Intensity Dependence of the Collisional Loss Rate for Potassium Atoms in a Vapor Cell,” preprint, IFSC, Universidade de São Paulo, São Carlos, SP.
  267. Scheingrager, H., and C. R. Vidal, 1977, “Discrete and continuous Franck Condon factors of the Mg2 A1u+X1g+ system and their J dependence,” J. Chem. Phys. 66, 3694–3704.
  268. Sesko, D., T. Walker, C. Monroe, A. Gallagher, and C. Wieman, 1989, “Collisional losses from a light-force trap,” Phys. Rev. Lett. 63, 961–964.
  269. Sesko, D. W., T. G. Walker, and C. Wieman, 1991, “Behavior of neutral atoms in a spontaneous force trap,” J. Opt. Soc. Am. B 8, 946–958.
  270. Shaffer, J. P., W. Chalupczak, and N. P. Bigelow, 1997, “Photoassociative spectroscopy of a laser cooled binary mixture,” Conference on Quantum Electronics and Laser Science, ’97, Baltimore, MD, OSA Technical Digest Series 12, 85.
  271. Shang, S-Q., Z. T. Lu, and S. J. Freedman, 1994, “Comparison of the cold-collision losses for laser-trapped sodium in different ground-state hyperfine sublevels,” Phys. Rev. A 50, R4449.
  272. Sheehy, B., S.-Q. Shang, R. Watts, S. Hatamian, and H. Metcalf, 1989, “Diode-laser deceleration and collimation of a rubidium beam,” J. Opt. Soc. Am. B 6, 2165–2170.
  273. Shlyapnikov, G. V., J. T. M. Walraven, U. M. Rahmanov, and M. W. Reynolds, 1994, “Decay kinetics and Bose condensation in a gas of spin-polarized triplet helium,” Phys. Rev. Lett. 73, 3247–3250.
  274. Silvera, I. F., and J. T. M. Walraven, 1980, “Stabilization of atomic hydrogen at low temperature,” Phys. Rev. Lett. 44, 164–168.
  275. Silvera, I. F., and J. T. M. Walraven, 1986, “Spin-polarized atomic H,” in Progress in Low Temperature Physics, edited by D. F. Brewer (Elsevier, Amsterdam), Vol. X, pp. 139–370.
  276. Smith, A. M., K. Burnett, and P. S. Julienne, 1992, “Semiclassical theory of collision-induced loss form optical traps,” Phys. Rev. A 46, 4091–4099.
  277. Soding, J., D. Guery-Odelin, P. Desbiolles, G. Ferrari, M. Ben Dahan, and J. Dalibard, 1998, “Giant spin relaxation of an ultracold cesium gas,” Phys. Rev. Lett. 80, 1869–1872.
  278. Solts, R., A. Ben-Reuven, and P. S. Julienne, 1995, “Optical collisions in ultracold atom traps: Two-photon distorted-wave theory,” Phys. Rev. A 52, 4029–4042.
  279. Sprik, R., R. J. T. M. Walraven, G. H. Yperen, and I. F. Silvera, 1982, “State-dependent recombination and suppressed nuclear relaxation in atomic hydrogen,” Phys. Rev. Lett. 49, 153–156.
  280. Steane, A., M. M. Chowdhury, and C. J. Foot, 1992, “Radiation force in the magneto-optical trap,” J. Opt. Soc. Am. B 9, 2142–2158.
  281. Stenholm, S., 1986, “The semiclassical theory of laser cooling,” Rev. Mod. Phys. 58, 699–739.
  282. Stoof, H. T. C., M. Bijlsma, and M. Houbiers, 1996, “Theory of interacting quantum gases,” J. Res. Natl. Inst. Stand. Technol. 101, 443–457.
  283. Stoof, H. T. C., A. M. L. Janssen, J. M. V. A. Koelman, and B. J. Verhaar, 1989, “Decay of spin-polarized atomic hydrogen in the presence of a Bose condensate,” Phys. Rev. A 39, 3157–3169.
  284. Stoof, H. T. C., J. M. V. A. Koelman, and B. J. Verhaar, 1988, “Spin-exchange and dipole relaxation rates in atomic hydrogen: rigorous and simplified calculations,” Phys. Rev. B 38, 4688–4697.
  285. Stwalley, W. C., 1970, “The dissociation energy of the hydrogen molecule using long-range forces,” Chem. Phys. Lett. 6, 241–244.
  286. Stwalley, W. C., and L. Nosanow, 1976, “Possible new quantum systems,” Phys. Rev. Lett. 36, 910–913.
  287. Stwalley, W. C., Y.-H. Uang, and G. Pichler, 1978, “Pure long-range molecules,” Phys. Rev. Lett. 41, 1164–1166.
  288. Sukenik, C. I., D. Hoffmann, S. Bali, and T. Walker, 1998, “Low saturation intensities in two-photon ultracold collisions,” Phys. Rev. Lett. 81, 782–785.
  289. Suominen, K.-A., 1996, “Theories for cold atomic collisions in light fields,” J. Phys. B 29, 5981–6007.
  290. Suominen, K.-A., Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, 1998, “Quantum and semiclassical calculations of cold collisions in light fields,” Phys. Rev. A 55.
  291. Suominen, K.-A., K. Burnett, and P. S. Julienne, 1996, “Role of off-resonant excitation in cold collisions in a strong laser field,” Phys. Rev. A 53, R1220–R1223.
  292. Suominen, K.-A., K. Burnett, P. S. Julienne, M. Walhout, U. Sterr, C. Orzel, M. Hoogerland, and S. L. Rolston, 1996, “Ultracold collisions and optical shielding in metastable xenon,” Phys. Rev. A 53, 1658–1689.
  293. Suominen, K.-A., M. J. Holland, K. Burnett, and P. S. Julienne, 1994, “Excited-state survival probabilities for cold collisions in a weak laser field,” Phys. Rev. A 49, 3897–3902.
  294. Suominen, K.-A., M. J. Holland, K. Burnett, and P. Julienne, 1995, “Optical shielding of cold collisions,” Phys. Rev. A 51, 1446–1457.
  295. Suominen, K.-A., E. Tiesinga, and P. S. Julienne, 1998, “Nonadiabatic dynamics in evaporative cooling of trapped atoms by a radio frequency field,” Phys. Rev. A 58, 3983–3992.
  296. Swanson, T. B., N. J. Silva, S. K. Mayer, J. J. Maki, and D. H. McIntyre, 1996, “Rubidium atomic funnel,” J. Opt. Soc. Am. B 13, 1833–1836.
  297. Tellinghuisen, J., 1985, in Photodissociation and Photoionization, edited by K. P. Lawley, Advances in Chemical Physics LX (Wiley, New York), pp. 299–369.
  298. Thorsheim, H. R., Y. Wang, and J. Weiner, 1990, “Cold collisions in an atomic beam,” Phys. Rev. A 41, 2873–2876.
  299. Thorsheim, H. R., J. Weiner, and P. S. Julienne, 1987, “Laser-induced photoassociation of ultracold sodium atoms,” Phys. Rev. Lett. 58, 2420–2423.
  300. Tiesinga, E., S. B. Crampton, B. J. Verhaar, and H. T. C. Stoof, 1993, “Collisional frequency shifts and line broadening in the cryogenic deuterium maser,” Phys. Rev. A 47, 4342–4347.
  301. Tiesinga, E., S. J. M. Kuppens, B. J. Verhaar, and H. T. C. Stoof, 1991, “Collisions between cold ground state Na atoms,” Phys. Rev. A 43, R5188–R5191.
  302. Tiesinga, E., A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, 1992, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170.
  303. Tiesinga, E., H. T. C. Stoof, and B. J. Verhaar, 1990, “Spin-exchange frequency shift of the cryogenic deuterium maser,” Physica B 165, 19–20.
  304. Tiesinga, E., B. J. Verhaar, and H. T. C. Stoof, 1993, “Threshold and resonance phenomena in ultracold ground-state collisions,” Phys. Rev. A 47, 4114–4122.
  305. Tiesinga, E., B. J. Verhaar, H. T. C. Stoof, and D. van Bragt, 1992, “Spin-exchange frequency-shift in a cesium atomic fountain,” Phys. Rev. A 45, 2671–2674.
  306. Tiesinga, E., C. J. Williams, and P. S. Julienne, 1998 (unpublished).
  307. Tiesinga, E., C. J. Williams, and P. S. Julienne, 1998, “Photoassociative spectroscopy of highly excited vibrational levels of alkali dimers: Green’s function approach for eigenvalue solvers,” Phys. Rev. A57, 4257–4267.
  308. Tiesinga, E., C. J. Williams, P. S. Julienne, K. M. Jones, P. D. Lett, and W. D. Phillips, 1996, “A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions,” J. Res. Natl. Inst. Stand. Technol. 101, 505–520.
  309. Townsend, C., W. Ketterle, and S. Stringari, 1997, “Bose-Einstein condensation,” Phys. World 10, 29–34.
  310. Trost, J., C. Eltschka, and H. Friedrich, 1998, “Quantization in molecular potentials,” J. Phys. B 31, 361–374.
  311. Tsai, C. C., R. S. Freeland, J. M. Vogels, H. M. J. M. Boesten, B. J. Verhaar, and D. J. Heinzen, 1997, “Two-color photoassociation spectroscopy of ground state Rb2,Phys. Rev. Lett. 79, 1245–1248.
  312. Tsao, C-C., 1996, Ph.D. thesis (University of Maryland).
  313. Tsao, C.-C., R. Napolitano, Y. Wang, and J. Weiner, 1995, “Ultracold photoassociative ionization collisions in an atomic beam: Optical field intensity and polarization dependence of the rate constant,” Phys. Rev. A 51, R18–R21.
  314. Tsao, C.-C., Y. Wang, R. Napolitano, and J. Weiner, 1998, “Anisotropy of optical suppression in photoassociative ionization collisions within a slow, collimated sodium atom beam,” Eur. Phys. J. D 4, 139–144.
  315. Tsao, C.-C., Y. Wang, J. Weiner, and V. S. Bagnato, 1996, “Optical collimation and compression of a thermal atomic beam,” J. Appl. Phys. 80, 8–14.
  316. Uang, Y.-H., and W. C. Stwalley, 1980, “Close-coupling calculations of spin-polarized hydrogen-deuterium collisions,” Phys. Rev. Lett. 45, 627–630.
  317. Ungar, P. J., D. S. Weiss, E. Riis, and S. Chu, 1989, “Optical molasses and multilevel atoms: Theory,” J. Opt. Soc. Am. B 6, 2058–2071.
  318. van Roijen, R., J. J. Berkhout, S. Jaakkola, and J. T. M. Walraven, 1988, “Experiments with atomic hydrogen in a magnetic trapping field,” Phys. Rev. Lett. 61, 931–934.
  319. Vardi, A., D. Abrashkevich, E. Frishman, and M. Shapiro, 1997, “Theory of radiative recombination with strong laser pulses and the formation of ultracold molecules via stimulated photo-recombination of cold atoms,” J. Chem. Phys. 107, 6166–6174.
  320. Verhaar, B. J., K. Gibble, and S. Chu, 1993, “Cold-collision properties derived from frequency shifts in a Cs fountain,” Phys. Rev. A 48, R3429–R3432.
  321. Verhaar, B. J., J. M. V. A. Koelman, H. T. C. Stoof, O. J. Luiten, and S. B. Crampton, 1987, “Hyperfine contribution to spin-exchange frequency shifts in the hydrogen maser,” Phys. Rev. A 35, 3825–3831.
  322. Vigué, J., 1986, “Possibility of applying laser-cooling techniques to the observation of collective quantum effects,” Phys. Rev. A 34, 4476–4479.
  323. Vogels, J. M., C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, 1997, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070.
  324. Wagshul, M. E., K. Helmerson, P. D. Lett, S. L. Rolston, W. D. Phillips, R. Heather, and P. S. Julienne, 1993, “Hyperfine effects on associative ionization of ultracold sodium,” Phys. Rev. Lett. 70, 2074–2077.
  325. Walhout, M., U. Sterr, C. Orzel, M. Hoogerland, and S. L. Rolston, 1995, “Optical control of ultracold collisions in metastable xenon,” Phys. Rev. Lett. 74, 506–509.
  326. Walker, T., and P. Feng, 1994, “Measurements of collisions between laser-cooled atoms,” Adv. At., Mol., Opt. Phys. 34, 125–170.
  327. Walker, T., and D. R. Pritchard, 1994, “Effects of hyperfine structure on alkali trap-Loss collisions,” Laser Phys. 4, 1085–1092.
  328. Walker, T., D. Sesko, and C. Wieman, 1990, “Collective behavior of optically trapped neutral atoms,” Phys. Rev. Lett. 64, 408–411.
  329. Wallace, C., T. Dinneen, K. Tan, T. Grove, and P. Gould, 1992, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900.
  330. Wallace, C., V. Sanchez-Villicana, T. P. Dinneen, and P. L. Gould, 1995, “Suppression of trap loss collisions at low temperature,” Phys. Rev. Lett. 74, 1087–1090.
  331. Walraven, J. T. M., 1984, “Atomic hydrogen at sub-Kelvin temperatures,” in Atomic Physics, edited by R. S. Dyck, Jr., and E. N. Fortson (World Scientific, Singapore), Vol. 9, pp. 187–211.
  332. Walsworth, R. L., I. F. Silvera, H. P. Gotfried, C. C. Agosta, R. F. C. Vessot, and E. M. Mattison, 1986, “Hydrogen maser at temperatures below 1 K,” Phys. Rev. A 34, 2550–2553.
  333. Wang, H., P. L. Gould, and W. C. Stwalley, 1996a, “Photoassociative spectroscopy of ultracold 39K atoms in a high–density vapor-cell magneto-optical trap,” Phys. Rev. A 53, R1216–R1219.
  334. Wang, H., P. L. Gould, and W. C. Stwalley, 1996b, “Photoassociative spectroscopy of pure long-range molecules,” Z. Phys. D 36, 317–323.
  335. Wang, H., P. L. Gould, and W. C. Stwalley, 1997, “Long-range interaction of the 39K(4s)+39K(4p) asymptote by photoassociative spectroscopy. I: The 0g pure long-range state and the long-range potential constants,” J. Chem. Phys. 106, 7899–7912.
  336. Wang, H., P. L. Gould, and W. C. Stwalley, 1998, “Fine structure predissociation of ultracold photoassociated 39K2 molecules observed by fragmentation spectroscopy,” Phys. Rev. Lett. 80, 476–479.
  337. Wang, H., J. Li, X. T. Wang, C. J. Williams, P. L. Gould, and W. C. Stwalley, 1997, “Precise determination of the dipole matrix element and radiative lifetime of the 39K 4p state by photoassociative spectroscopy,” Phys. Rev. A 55, R1569–R1572.
  338. Wang, H., and W. C. Stwalley, 1998, “Ultracold photoassociative spectroscopy of heteronuclear alkali-metal diatomic molecules,” J. Chem. Phys. 108, 5767–5771.
  339. Wang, H., X. T. Wang, P. L. Gould, and W. C. Stwalley, 1997, “Optical-optical double resonance photoassociative spectroscopy of ultracold 39K atoms near highly excited asymptotes,” Phys. Rev. Lett. 78, 4173–4176.
  340. Wang, M-X., J. Keller, J. Boulmer, and J. Weiner, 1986, “Strong velocity dependence of the atomic alignment effect in Na(3p)+Na(3p) associative ionization,” Phys. Rev. A 34, 4497–4500.
  341. Wang, M-X., J. Keller, J. Boulmer, and J. Weiner, 1987, “Spin-selected velocity dependence of the associative ionization cross section in Na(3p)+Na(3p) collisions over the collision energy range from 2.4 to 290 meV,” Phys. Rev. A 35, 934–937.
  342. Wang, X., H. Wang, P. L. Gould, W. C. Stwalley, E. Tiesinga, and P. S. Julienne, 1998, “Observation of the pure long range 1u state of an alkali-metal dimer in photoassociation spectroscopy,” Phys. Rev. A 57, 4600–4603.
  343. Wang, Y., and J. Weiner, 1990, “Velocity-selected atomic-beam collisions in the energy range from 300 to 5 K,” Phys. Rev. A 42, 675–677.
  344. Weiner, J., 1989, “Experiments in cold and ultracold collisions,” J. Opt. Soc. Am. B 6, 2270–2278.
  345. Weiner, J., 1995, “Advances in Ultracold Collisions: Experimentation and Theory,” in Advances in Atomic, Molecular and Optical Physics, edited by D. Bates and B. Bederson (Academic, Boston), Vol. 35, pp. 45–78.
  346. Weiner, J., F. Masnou-Seeuws, and A. Giusti-Suzor, 1989, “Associative Ionization: Experiments, Potentials, and Dynamics,” in Advances in Atomic, Molecular and Optical Physics, edited by D. Bates and B. Bederson (Academic Press, Boston), Vol. 26, pp. 209–296.
  347. Wigner, E. P., 1948, “On the behavior of cross sections near thresholds,” Phys. Rev. 73, 1002–1009.
  348. Williams, C. J., and P. S. Julienne, 1993, “Mass effects in the theoretical determination of nuclear spin relaxation rates for atomic hydrogen and deuterium,” Phys. Rev. A 47, 1524–1527.
  349. Williams, C. J., and P. S. Julienne, 1994, “Molecular hyperfine structure in the photoassociation spectroscopy of laser cooled atoms,” J. Chem. Phys. 101, 2634–2637.
  350. Williams, C. J., E. Tiesinga, and P. S. Julienne, 1996, “Hyperfine structure of the Na2 0g long-range molecular state,” Phys. Rev. A 53, R1939–R1942.
  351. Williamson, R. S., and T. Walker, 1995, “Magneto-optical trapping and ultracold collisions of potassium atoms,” J. Opt. Soc. Am. B 12, 1393–1397.
  352. Wineland, D. J., and W. M. Itano, 1979, “Laser cooling of atoms,” Phys. Rev. A 20, 1521–1540.
  353. Yu, J., J. Djemaa, P. Nosbaum, and P. Pillet, 1994, “Funnel with orientated Cs atoms,” Opt. Commun. 112, 136–140.
  354. Yurovsky, V. A., and A. Ben-Reuven, 1997, “Incomplete optical shielding in cold atom traps: three-dimensional Landau-Zener theory,” Phys. Rev. A 55, 3772–3779.
  355. Zilio, S. C., L. Marcassa, S. Muniz, R. Horowicz, V. Bagnato, R. Napolitano, J. Weiner, and P. S. Julienne, 1996, “Polarization dependence of optical suppression in photoassociative ionization collisions in a sodium magneto-optic trap,” Phys. Rev. Lett. 76, 2033–2036.

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