- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Multiple scattering expansions in several particle dynamics

Charles J. Joachain* and C. Quigg†

Charles J. Joachain*

  • Physique Théorique et Mathématique, Faculté des Sciences, Université Libre de Bruxelles, Brussels, Belgium

C. Quigg†

  • National Accelerator Laboratory, Batavia, Illinois 60510 Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11994

  • *Supported in part by the NATO Scientific Affairs Division, Research Grant No. 586.
  • †Permanent address. Work at Stony Brook supported in part under National Science Foundation Grant No. GP 32998X..
PDF

Rev. Mod. Phys. 46, 279 – Published 1 April, 1974

DOI: https://doi.org/10.1103/RevModPhys.46.279

Abstract

The problem of quantum collisions involving several particle systems is reviewed within the framework of multiple scattering theory. The basic apparatus of collision theory for nonrelativistic potential problems is first developed, and the Born and eikonal series are introduced. A general analysis is then given of multiple scattering expansions for several particle problems. We discuss in particular the Born developments, the Faddeev-Watson expansions, the Glauber method, and various multiple scattering approaches to the determination of the optical potential. Applications to atomic collision problems and to high-energy hadron-deuteron scattering are discussed at length.

View figure in article

References (396)

  1. Aaron, R., R. D. Amado, and B. W. Lee, 1961, Phys. Rev. 121, 319
  2. Aaron, R., and A. Klein, 1960, J. Math. Phys. 1, 131
  3. Abarbanel, H. D. I., and C. Itzykson, 1969, Phys. Rev. Lett. 23, 53
  4. Abers, E., H. Burkhardt, V. L. Teplitz, and C. Wilkin, 1966, Phys. Lett. 21, 339 Nuovo Cimento A 42, 365
  5. Adachi, T., 1966, Prog. Theor. Phys. (Kyoto) 35, 463, 483
  6. Adachi, T., and T. Kotani, 1965, Prog. Theor. Phys. Suppl., Extra No. 316
  7. Alberi, G., and L. Bertocchi, 1968, Phys. Lett. B 28, 186
  8. Alberi, G., and L. Bertocchi, 1969a, Nuovo Cimento A 61, 201
  9. Alberi, G., and L. Bertocchi, 1969b, Nuovo Cimento A 63, 285
  10. Alessandrini, V. A., and R. L. Omnès, 1965, Phys. Rev. 139, B167
  11. Allaby, J. V., Yu B. Bushnin, S. P. Denisov, A. N. Diddens, R. W. Dobinson, S. V. Donskov, G. Giacomelli, Yu. P. Gorin, A. Klovning, A. I. Petrukhin, Yu D. Prokoshkin, R. S. Shuvalov, C. A. Stahlbrandt, and D. A. Stoyanova, 1969a, Phys. Lett. B 30, 500
  12. Allaby, J. V., A. N. Diddens, R. J. Galuber, A. Klovning, Kofoed-Hansen, E. J. Sacharidis, K. Schlüpmann, A. M. Thorndike, and A. M. Wetherall, 1969b, Phys. Lett. B 30, 549
  13. Alt, E. O., P. Grassberger, and W. Sandhas, 1967, Nucl. Phys. B 2, 167
  14. Amaldi, U., R. Biancastelli, C. Bosio, G. Matthiae, J. V. Allaby, A. N. Diddens, R. W. Dobinson, A. Klovning, J. Litt, L. S. Rochester, K. Schlüpmann, and A. M. Wetherell, 1972, Nucl. Phys. B 39, 39
  15. Anderson, R. L., D. Gustavson, J. Johnson, L. Overman, D. M. Ritson, B. H. Wiik, R. Talman, and D. Worcester, 1971. Phys Rev. D 4, 3245
  16. Anisovich, V. V., P. E. Volkovitsky, and L. G. Dakhno, 1972, Phys. Lett. B 42, 224
  17. Antipov, Y. M., R. Baud, R. Busnello, G. Damgaard, M. N. Kienzle-Focacci, W. Kienzle, R. Klanner, L. G. Landsberg, A. A. Lebedev, C. Lechanoine, P. Lecomte, M. Martin, V. Roinishvili, R. D. Sard, F. A. Yotch, and A. Weitsch, 1972, Phys. Lett. B 40, 147
  18. Armenteros, R., C. A. Coombes, B. Cork, G. R. Lambertson, and W. A. Wenzel, 1960, Phys. Rev. 119, 2068
  19. Ashkin, J., and G. C. Wick, 1952, Phys. Rev. 85, 686
  20. Atwood, W. B., and G. B. West, 1973, Phys. Rev. D 7, 773
  21. Baker, A., 1972, Phys. Rev. D 6, 3462
  22. Baker, A., 1973, Phys. Rev. D 8, 1937
  23. Barger, V., and C. Michael, 1969, Phys. Rev. Lett. 22, 1330 ibid.23, 208(E)
  24. Barger, V., and R. J. N. Phillips, 1968, Phys. Lett. B 26, 730
  25. Barger, V., and R. J. N. Phillips, 1969, Phys. Rev. 187, 2210
  26. Barnhill, M. V., 1967, Phys. Rev. 163, 1735
  27. Bassel, R. H. and E. Gerjuoy, 1960, Phys. Rev. 117, 749
  28. Bassel, R. H., and C. Wilkin, 1967, Phys. Rev. Lett. 18, 871
  29. Bassel, R. H. and C. Wilkin, 1968, Phys. Rev. 174, 1179
  30. Bassichis, W. H., H. Feshbach, and J. F. Reading, 1971, Ann. Phys. (N.Y.) 68, 462
  31. Bates, D. R., 1962, in Atomic and Molecular Processes, edited by D. R. Bates (Academic, New York) p. 596
  32. Bates, D. R., and A. Dalgarno, 1952, Proc. Phys. Soc. Lond. A 65, 919
  33. Beg, M. A. B., 1960, Phys. Rev. 120, 1867
  34. Bell, J. S., 1973, Nucl. Phys. B 66, 293
  35. Bell, J. S., and E. J. Squires, 1959, Phys. Rev. Lett. 3, 96
  36. Bell, K. L., H. Eissa and B. L. Moiseiwitsch, 1966, Proc. Phys. Soc. Lond. 88, 57
  37. Bell, K. L., D. J. Kennedy and A. E. Kingston, 1969, J. Phys. B 2, 26
  38. Bellettini, G., 1966, Nucl. Phys. 79, 609
  39. Bellettini, G., G. Cocconi, A. N. Diddens, E. Lillethun, G. Matthiae, J. P. Scanlon, and A. M. Wetherell, 1965, Phys. Lett. 19, 341
  40. Bemporad, C., W. Beusch, A. C. Melissinos, E. Polgar, D. Websdale, J. D. Wilson, J.P. Dufey, K. Freudenreich, R. Frosch, F.X. Gentit, P. Mhlemann, J. Codling, J. G. Lee, M. Letherpn, G. Bellini, M. di Corato, and G. Vegni, 1971, Nucl. Phys. B 33, 397
  41. Bemporad, C., W. Beusch, A. C. Melissinos, E. Polgar, D. Websdale, J. P. Dufey, K. Freudenreich, R. Frosch, F. X. Gentit, P. Mühlemann, J. Codling, J. G. Lee, M. Letheren, G. Bellini, M. di Corato, and G. Vegni, 1972, Nucl. Phys. B 42, 627
  42. Bennett, G. W., J. L. Friedes, H. Palevsky, R. J. Sutter, G. J. Igo, W. D. Simpson, G. C. Phillips, R. L. Stearns, and D. M. Corley, 1967, Phys. Rev. Lett. 19, 387
  43. Berrington, K. A., B. H. Bransden, and J. P. Coleman, 1973, J. Phys. B 6, 436
  44. Bertocchi, L., 1969, in Lecture Notes of the Ecole Internationale de la Physique des Particules Elémentaires, Herceg-Novi
  45. Bertocchi, L., and L. Caneschi, 1967, Nuovo Cimento A 52, 295
  46. Bertocchi, L., and A. Capella, 1967, Nuovo Cimento A 51, 369
  47. Bethe, H. A., 1940, Phys. Rev. 57, 1125
  48. Bhadra, K., and A. S. Ghosh, 1971, Phys. Rev. Lett. 26, 737
  49. Bhasin, V. S., 1967, Nuovo Cimento A 49, 736
  50. Bhasin, V. S., and V. S. Varma, 1969, Phys. Rev. 184, 1338
  51. Birman, A., and S. Rosendorff, 1969, Nuovo Cimento B 63, 89
  52. Blankenbecler, R., and M. L. Goldberger, 1962, Phys. Rev. 126, 766
  53. Blankenbecler, R., and R. Sugar, 1966, Phys. Rev. 142, 1051
  54. Bohr, A., 1960, in Lectures in Theoretical Physics, edited by W. Brittin (Interscience, New York), Vol. III, p. 1
  55. Born, M., and E. Wolf, 1964, Principles of Optics, (New York: Pergamon Press, MacMillan), 2nd edition, Chap. 8
  56. Boschitz, E. T., W. K. Roberts, J. S. Vincent, K. Gotow, P. C. Gugelot, C. F. Perdrisat, and L. W. Swenson, 1968, Phys. Rev. Lett. 20, 1116
  57. Bradamante, F., S. Conetti, G. Fidecaro, M. Fidecaro, M. Giorgi, A. Penzo, L. Piemontese, F. Sauli, and P. Schiavon, 1968, Phys. Lett. B 28, 191
  58. Bradamante, F., S. Conetti, G. Fidecaro, M. Fidecaro, M. Giorgi, P. Palazzi, A. Penzo, L. Piemontese, F. Sauli, P. Schiavon, and A. Vascotto, 1969, Nuovo Cimento Lett. 1, 894
  59. Bradamante, F., G. Fidecaro, M. Fidecaro, M. Giorgi, P. Palazzi, A. Penzo, L. Piemontese, F. Sauli, P. Schiavon, and A. Vascotto, 1970a, Phys. Lett. B 31, 87
  60. Bradamante, F., G. Fidecaro, M. Fidecaro, M. Giorgi, P. Palazzi, A. Penzo, L. Piemontese, F. Sauli, P. Schiavon, and A. Vascotto, 1970b, Phys. Lett. B 32, 303
  61. Bradamante, F., S. Conetti, G. Fidecaro, M. Fidecaro, M. Giorgi, A. Penzo, L. Piemontese, and P. Schiavon, 1971, Nucl. Phys. B 33, 165
  62. Bransden, B H, 1965, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Esterman (Academic, New York) Vol. I, p. 85
  63. Bransden, B. H., 1969, in Lectures in Theoretical Physics, edited by S. Geltman, K. T. Mahantappa, and W. E. Brittin (New York, Gordon and Breach), Vol. XI-C, p. 139
  64. Bransden, B. H. and J. P. Coleman, 1972, J. Phys. B 5, 537
  65. Bransden, B. H., J. P. Coleman and J. Sullivan, 1972, J. Phys B 5, 546
  66. Bransden, B. H. and M. R. C. McDowell, 1970, J. Phys. B 3, 29
  67. Brinkman, H. C. and H. A. Kramers, 1930, Proc. Acad. Sci. Amsterdam 33, 1973
  68. Bromberg, J. P., 1969, J. Chem. Phys. 50, 3906
  69. Buchner, K., G. Dehm, G. Goebel, H. Hupe, T. Joldersma, I. S. Mittra, W. Wittek, J. M. Crispeels, J. Debaisieux, M. Delabaye, P. Dufour, F. Grard, J. Heughebaert, J. Naisse, G. Thill, A. Grant, V. P. Henri, B. Jongejans, U. Kundt, F. Muller, R. L. Sekulin, and G. Wolf, 1969, Nucl. Phys. B 9, 286
  70. Buchner, K., G. Dehm, G. Goebel, H. Hupe, W. Wittek, G. Wolf, Y. Goldschmidt-Clermont, A. Grant, V. P. Henri, B. Jongejans, F. Muller, R. L. Sekulin, J. Debaisieux, G. De Jongh, P. Dufour, F. Grard, J. Heughebaert, S. Tavernier, G. Thill, and R. Windmolders, 1971, Nucl. Phys. B 29, 381
  71. Buckingham, R. A., 1937, Proc. R. Soc. Lond. A 160, 94
  72. Bunce, G., O. E. Overseth, J. Walker, H. Halpern, R. Handler, L. Pondrom, and S. Olsen, 1972, Phys. Rev. Lett. 28, 120
  73. Burke, P. G., H. M. Schey, and K. Smith, 1963, Phys. Rev. 129, 1258
  74. Butterworth, I., J. L. Brown, G. Goldhaber, S. Goldhaber, A. A. Hirata, J. A. Kadyk, B. M. Schwartzschild, and G. H. Trilling, 1965, Phys. Rev. Lett. 15, 734
  75. Byron, F. W., 1971, Phys. Rev. A 4, 1907
  76. Byron, F. W., and C. J. Joachain, 1966, Phys. Rev. 146, 1
  77. Byron, F. W., and C. J. Joachain, 1972, Phys. Lett. A 38, 185
  78. Byron, F. W., and C. J. Joachain, 1973a, Physica 66, 33
  79. Byron, F. W., and C. J. Joachain, 1973b, J. Phys. B (Letters), L169
  80. Byron, F. W., and C. J. Joachain, 1973c, Phys. Rev. A 8, 1267
  81. Byron, F. W., and C. J. Joachain, 1973d, Phys. Rev. A 8, 3266
  82. Byron, F. W., and C. J. Joachain, 1974a, Phys. Rev. (to be published)
  83. Byron, F. W., and C. J. Joachain, 1974b, J. Phys. B (Letters) (to be published)
  84. Byron, F. W., C. J. Joachain, and E. Mund, 1973, Phys. Rev. D 8, 2622
  85. Carpenter, C. P., and T. F. Tuan, 1970, Phys. Rev. A 2, 1811
  86. Carter, A. A., K. F. Riley, R. J. Tapper, D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer, and A. W. O'Dell, 1968, Phys. Rev. 168, 1457
  87. Chadan, K., 1968, Nuovo Cimento B 53, 12
  88. Chamberlain, G. E., S. R. Mielczarek and C. E. Kuyatt, 1970, Phys. Rev. A 2, 1905
  89. Chamberlain, O., D. V. Keller, R. Mermod, E. Segrè, H. M. Steiner, and T. Ypsilantis, 1957, Phys. Rev. 108, 1553
  90. Chang, S. -J., and S. -K Ma, 1969, Phys. Rev. Lett. 22, 1334
  91. Chase, D. M., 1956, Phys. Rev. 104, 838
  92. Chase, R. C., E. Coleman, and H. W. J. Courant, 1969, Phys. Rev. Lett. 23, 811
  93. Chen, A. C., J. C. Y. Chen, A. L. Sinfailam, and L. Hambro, 1971, Phys. Rev. A 4, 1988
  94. Chen, J. C. Y., 1972, in The Physics of Electronic and Atomic Collisions, edited by T. R. Govers and F. J. de Heer (North-Holland Publ. Co., Amsterdam), p. 232
  95. Chen, J. C. Y., and A. C. Chen, 1972, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York), Vol. 8
  96. Chen, J. C. Y., A. C. Chen, and P. J. Kramer, 1971, Phys. Rev. A 4, 1982
  97. Chen, J. C. Y., and L. Hambro, 1971, J. Phys. B 4, 191
  98. Chen, J. C. Y., L. Hambro, A. L. Sinfailam, and K. T. Chung, 1973, Phys. Rev. A 7, 2003
  99. Chen, J. C. Y., and C. J. Joachain, 1971, Physica 53, 333
  100. Chen, J. C. Y., C. J. Joachain, and K. M. Watson, 1972, Phys. Rev. A 5, 2460
  101. Chen, J. C. Y., and P. J. Kramer, 1971, Phys. Rev. Lett. 27, 899
  102. Chen, J. C. Y., and P. J. Kramer, 1972, Phys. Rev. A 5, 1207
  103. Cheng, H., and T. T. Wu, 1972, Harvard-MIT preprint
  104. Chew, G. F., 1950, Phys. Rev. 80, 196
  105. Chew, G. F., and M. L. Goldberger, 1952, Phys. Rev. 87, 778
  106. Chew, G. F., and G. C. Wick, 1952, Phys. Rev. 85, 636
  107. Chou, T. T, and C. N. Yang, 1968, Phys. Rev. Lett. 20, 1213
  108. Coleman, E., R. M. Heinz, O. E. Overseth, and D. E. Pellett, 1966, Phys. Rev. Lett. 16, 761
  109. Coleman, E., 1967, Phys. Rev. 164, 1655
  110. Coleman, E., R. M. Heinz, O. E. Overseth, and D. E. Pellett, 1967, Phys. Rev. 164, 1655
  111. Coombes, C. A., B. Cork, W. Galbraith, G. R. Lambertson, and W. A. Wenzel, 1958, Phys. Rev. 112, 1303
  112. Crooks, G. B., 1972, University of Nebraska Thesis (unpublished)
  113. Crooks, G. B., and M. E. Rudd, 1972, Bull. Am. Phys. Soc. 17, 131
  114. Czyz, W., 1971, in Advances in Nuclear Physics, edited by M. Baranger and E. Vogt (Plenum, New York), Vol. 4, p. 61
  115. Czyz, W., and L. Lešniak, 1967, Phys. Lett. B 24, 227, 319
  116. Czyz, W., and L. C. Maximon, 1968, Phys. Lett. B 27, 354
  117. Czyz, W., and L. C Maximon, 1972, Acta Phys. Polon. B 3, 897
  118. Czyzewski, O., et al., 1965, Phys. Lett. 15, 188
  119. Davies, H., 1960, Nucl. Phys. 14, 465
  120. de Jongh, J. P., and J. van Eck, 1971, in Abstracts of Papers in the VIIth International Conference on the Physics of Electronic and Atomic Collisions, edited by L. M. Branscomb (North-Holland Publ. Co., Amsterdam), p. 701
  121. Deloff, A., 1967, Nucl. Phys. B 2, 597
  122. Denisov, S. P., S. V. Donskov, Yu. P. Gorin, A. I. Petrukhin, Yu. D. Prokoshkin, D. A. Stoyanova, J. V. Allaby, and G. Giacomelli, 1971, Phys. Lett. B 36, 415
  123. Dettman, K., and G. Leibfried, 1968, Z. Phys. 210, 43
  124. Dettman, K., and G. Leibfried, 1969, Z. Phys. 218, 1
  125. Diebold, R., 1969, in Proceedings of the Boulder Conference on High Energy Physics, edited by K. Mahantappa (Associated Universities Press, Boulder, Colorado), p. 3
  126. Dodd, L. R., and K. R. Greider, 1966, Phys. Rev. 146, 675
  127. Donaldson, F. G., M. A. Hender and J. W. McConkey, 1972, J. Phys. B 5, 1192
  128. Drell, S. D., and J. S. Trefil, 1966, Phys. Rev. Lett. 16, 552
  129. Drisko, D. R., 1955, thesis, Carnegie Institute of Technology (unpublished)
  130. Durand, L., III, and Y. T. Chiu, 1964, Phys. Rev. Lett. 12, 399 ibid.13, 45(E)
  131. Durand, L., III, and Y. T. Chiu, 1965a, Phys. Rev. 137, B646
  132. Durand, L., III, and Y. T. Chiu, 1965b, Phys. Rev. 137, B1530
  133. Durand, L., III, and R. Lipes, 1968, Phys. Rev. Lett. 20, 637
  134. Eisenberg, J. M., 1972, Ann. Phys. (N.Y.) 71, 542
  135. Eisner, R. L., A. C. Ammann, D. D. Carmony, A. F. Garfinkel, L. J. Gutay, R. V. Lakshmi, D. H. Miller, G. W. Tautfest, and W. L. Yen, 1968, Phys. Lett. B 28, 356
  136. Ekstein, H., 1956, Phys. Rev. 101, 880
  137. Elioff, T., L. Agnew, O. Chamberlain, H. M. Steiner, C. Wiegand, and T. Ypsilantis, 1962, Phys. Rev. 128, 869
  138. Englert, F., P. Nicoletopoulos, R. Brout, and C. Truffin, 1969, Nuovo Cimento A 64, 561
  139. Ericson, T. E. O., and M. P. Locher, 1969, CERN Report 69-30
  140. Faddeev, L. D., 1960, Zh. Eksp. Teor. Fiz. 39, 1459 [Sov. Phys. -JETP 12, 1014 (1961)]
  141. Faddeev, L. D., 1961, Dokl. Akad. Nauk SSSR 138, 565 [Sov. Phys. - Dokl. 6, 384]
  142. Faddeev, L. D., 1962, Dokl. Akad. Nauk SSSR 145, 301 [Sov. Phys. - Dokl. 7, 600]
  143. Fäldt, G., 1971, Nucl. Phys. B 29, 16
  144. Fellinger, M., et al., 1969, Phys. Rev. Lett. 22, 1265
  145. Ferbel, T., et al., 1965, Phys. Rev. 131, B1250
  146. Fermi, E., 1936, Ric. Sci. 7-2, 13
  147. Fernbach, S., R. Serber, and T. B. Taylor, 1949, Phys. Rev. 75, 1352
  148. Feshbach, H., 1958, Ann. Phys. (N.Y.) 5, 537
  149. Feshbach, H., 1962, Ann. Phys. (N.Y.) 19, 287
  150. Feshbach, H., 1967, in Interactions of High-Energy Particles with Nuclei, (Course XXXVIII of the International School of Physics "Enrico Fermi") edited by T. E. O. Ericson (Academic, New York), p. 183
  151. Feshbach, H., A. Gal, and J. Hüfner, 1971, Ann. Phys. (N.Y.) 66, 20
  152. Feshbach, H., and J. Hüfner, 1970, Ann. Phys. (N.Y) 56, 268
  153. Feshbach, H., C. E. Porter, and V. F. Weisskopf, 1954, Phys. Rev. 96, 448
  154. Fetter, A. L., and K. M. Watson, 1965, in Advances in Theoretical Physics, edited by K. A. Brueckner (Academic, New York), Vol. 1, p. 115
  155. Feynman, R. P., 1949, Phys. Rev. 76, 769
  156. Finkelstein, J., 1971, Nuovo Cimento A 5, 413
  157. Foley, K. J., R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles and E. H. Willen, 1967, Phys. Rev. Lett. 19, 193
  158. Foley, K. J., S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, 1963a, Phys. Rev. Lett. 11, 425
  159. Foley, K. J., S. J., Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell, and L. C. L. Yuan, 1963b, Phys. Rev. Lett. 11, 503
  160. Formànek, J., and J. S. Trefil, 1967, Nucl. Phys. B 3, 155 ibid.4, 165
  161. Francis, N. C., and K. M. Watson, 1953, Phys. Rev. 92, 291
  162. Franco, V., 1966, Phys. Rev. Lett. 16, 944
  163. Franco, V., 1967, Phys. Rev. Lett. 18, 1159
  164. Franco, V., 1968a, Phys. Rev. Lett. 20, 709
  165. Franco, V., 1968b, Phys. Rev. Lett. 21, 1360
  166. Franco, V., 1970, Phys. Rev. A 1, 1705
  167. Franco, V., 1971, Phys. Rev. Lett. 26, 1088
  168. Franco, V., and E. Coleman, 1966, Phys. Rev. Lett. 17, 827
  169. Franco, V., and R. J. Glauber, 1966, Phys. Rev. 142, 1195
  170. Franco, V., and R. J. Glauber, 1969, Phys. Rev. Lett. 22, 370
  171. Franco, V., and B. K. Thomas, 1971, Phys. Rev. A 4, 1945
  172. Frautschi, S., and B. Margolis, 1968, Nuovo Cimento, A 56, 1155
  173. Freedman, D., C. Lovelace, and J. Namysłowski, 1966, Nuovo Cimento A 43, 258
  174. Galbraith, W., E. W. Jenkins, T. F. Kycia, B. A. Leontic, R. H. Phillips, A. L. Read, and R. Rubinstein, 1965, Phys. Rev. 138, B913
  175. Gell-Mann, M., and M. L. Goldberger, 1953, Phys. Rev. 91, 398
  176. Gerjuoy, E., 1958, Ann. Phys. (N.Y.) 5, 58
  177. Gerjuoy, E., 1972, in The Physics of Electronic and Atomic Collisions, edited by T. R. Govers and F. J. de Heer (North-Holland Publ. Co., Amsterdam) p. 247
  178. Gerjuoy, E., B. K. Thomas and V. B. Sheorey, 1972, J. Phys. B 5, 321
  179. Ghosh, A. S., and N. C. Sil, 1969, Indian J. Phys. 43, 490
  180. Ghosh, A. S., and N. C. Sil, 1970, Indian J. Phys. 44, 153
  181. Ghosh, A. S., and N. C. Sil, 1971, J. Phys. B 4, 836
  182. Ghosh, A. S., P. Sinha, and N. C. Sil, 1970, J. Phys. B 3, L58
  183. Glauber, R. J., 1953, Phys. Rev. 91, 459
  184. Glauber, R. J., 1955, Phys. Rev. 100, 242
  185. Glauber, R. J., 1959, in Lectures in Theoretical Physics, Vol. I, edited by W. E. Brittin (Interscience, New York), p. 315
  186. Glauber, R. J., 1960, in Proceedings of the Conference on Nuclear Forces and the Few Nucleon Problem, Vol. I, edited by T. C. Griffith and E. A. Power (Pergamon Press, New York), p. 233
  187. Glauber, R. J., 1967, in High Energy Physics and Nuclear Structure, edited by G. Alexander (North-Holland Publ. Co., Amsterdam), p. 311
  188. Glauber, R. J., 1969, in High Energy Physics and Nuclear Structure, edited by S. Devons (Plenum Press, New York, 1970), p. 207
  189. Glauber, R. J., and V. Franco, 1967, Phys. Rev. 156, 1685
  190. Goldberger, M. L., and K. M. Watson, 1964, Collision Theory (Wiley, New York), Chap. 11
  191. Goldhaber, A. S., 1972, in Experimental Meson Spectroscopy- 72, edited by A. H. Rosenfeld and Kwan-Wu Lai (American Institute of Physics, New York), p. 333
  192. Goldhaber, A. S., 1973, Phys. Rev. D 7, 765
  193. Goldhaber, A. S., and C. J. Joachain, 1968, Phys. Rev. 171, 1566
  194. Goldhaber, A. S., C. J. Joachain, H. J. Lubatti, and J. J. Veillet, 1969, Phys. Rev. Lett. 22, 802
  195. Gorin, Yu. P., S. P. Denisov, S. V. Donskov, A. I. Petrukhin, Yu. D. Prokoshkin, and D. A. Stoyanova, 1972, Yad. Fiz 15, 953 [Sov. J. Nucl. Phys. 15, 530]
  196. Gottfried, K., 1971, Ann. Phys. (N.Y.) 66, 868
  197. Gottfried, K., 1972, Acta Phys. Polon. B 3, 769
  198. Gottfried, K., and J. D. Jackson, 1964, Nuovo Cimento 34, 735
  199. Greider, K. R., and L. R. Dodd, 1966, Phys. Rev. 146, 671
  200. Gribov, V. N., 1967, Zh. Eksp. Teor. Fiz. 53, 654 [Sov Phys. -JETP 26, 414 (1968)]
  201. Gribov, V. N., 1969a, Yad. Fiz. 9, 640 [Sov. J. Nucl. Phys. 9, 369]
  202. Gribov, V. N., 1969b, Zh. Eksp. Teor. Fiz. 56, 892 [Sov. Phys. -JETP 29, 483]
  203. Gribov, V. N., B. L. Ioffe, I. Ya. Pomeranchuk, and A. P. Rudik, 1962, Zh. Eksp. Teor. Fiz. 42, 1419 [Sov. Phys. -JETP 15, 984]
  204. Gunion, J. F., and R. Blankenbecler, 1971, Phys. Rev. D 3, 2125
  205. Gurvits, S. A., and M. S. Marinov, 1970, Phys. Lett. B 32, 55
  206. Hahn, Y., 1969, Phys. Rev. 184, 1022
  207. Hahn, Y., 1970, Phys. Rev. C 2, 775
  208. Harrington, D. R., 1964, Phys. Rev. 135, B358 ibid.137, AB3(E)
  209. Harrington, D. R., 1968a, Phys. Rev. Lett. 21, 1496
  210. Harrington, D. R., 1968b, Phys. Rev. 176, 1982
  211. Harrington, D. R., 1969a, Phys. Lett. B 29, 188
  212. Harrington, D. R., 1969b, Phys. Rev. 184, 1745 "Cut Diagrams in Potential Theory," in Proceedings of the Regge Cut Conference, Madison
  213. Harrington, D. R., 1970, Phys. Rev. D 1, 260
  214. Harrington, D. R., and A. Pagnamenta, 1967, Phys. Rev. Lett. 18, 1147
  215. Harrington, D. R., and A. Pagnamenta, 1968, Phys. Rev. 173, 1599
  216. Harrington, D. R., and A. Pagnamenta, 1969, Phys. Rev. 184, 1908
  217. Hidalgo, M. B., J. H. McGuire, and D. G. Doolen, 1972, J. Phys. B 5, L70
  218. Hilpert, H. G., P. Lauscher, M. Matziolis, U. Idschok, K. Müller, A. Kolb, D. Lüke, P. Raulefs, H. Spitzer, F. Storim, G. Knies, S. Brandt, O. Braun, J. Stiewe, P. Schlamp, and J. Weigl, 1970, Nucl. Phys. B 23, 45
  219. Holt, A. R., J. L. Hunt, and B. L. Moiseiwitsch, 1971a, J. Phys. B 4, L241
  220. Holt, A. R., J. L. Hunt, and B. L. Moiseiwitsch, 1971b, J. Phys. B 4, 1318
  221. Holt, A. R., and B. L. Moiseiwitsch, 1968, Proc. Phys. Soc. Lond. B 1, 36
  222. Hsiung, H. C., E. Coleman, B. Roe, D. Sinclair, and J. Vander Velde, 1968, Phys. Rev. Lett. 21, 187
  223. Jackson, J. D., 1965, Rev. Mod. Phys. 37, 484
  224. Jackson, J. D., 1970, Rev. Mod. Phys. 42, 12
  225. Jackson, J. D., and H. Schiff, 1953, Phys. Rev. 89, 359
  226. Jacob, M., and R. Slansky, 1972, Phys. Rev. D 5, 1847
  227. Janev, R. K., and A. Salin, 1972, Ann. Phys. (N. Y.) 73, 136
  228. Joachain, C. J., 1965, Nucl. Phys. 64, 548
  229. Joachain, C. J., and M. H. Mittleman, 1965, Phys. Rev. 140, A432
  230. Joachain, C. J., and M. H. Mittleman, 1971a, Phys. Lett. A 36, 209
  231. Joachain, C. J., and M. H. Mittleman, 1971b, Phys. Rev. A 4, 1492
  232. Joachain, C. J., and C. Quigg, 1970, Lawrence Radiation Lab. Report UCRL-19851
  233. Joachain, C. J., and R. K. Van den Eynde, 1970, Physica, 46, 8
  234. Joachain, C. J., and R. Vanderpoorten, 1973, J. Phys. B 6, 622
  235. Joachain, C. J., and R. Vanderpoorten, 1974, J. Phys. B (to be published)
  236. Jobe, J. D., and R. M. St. John, 1967, Phys. Rev. 164, 117
  237. Johnson, J. D., and J. E. Brolley, 1970, Prog. Theor. Phys. (Kyoto) 44, 1700
  238. Johnston, R. R. and K. M. Watson, 1961, Nucl. Phys. 28, 583
  239. Jost, K., M. Fink, and P. Herrmann, 1974, Phys. Rev. (to be published)
  240. Jost, R., and A. Pais, 1951, Phys. Rev. 82, 840
  241. Julius, D. I., 1972 "The Extraction of Neutron Target Cross Sections from Deuterium," Daresbury Lecture Notes DNPL/R20
  242. Kamal, A. N., and L. K. Chavda, 1973, Nucl. Phys. B 57, 617
  243. Kancheli, O. V., 1970, Zh. Eksp. Teor. Fiz. Pis'ma Red. 11, 397 [JETP Lett. 11, 267]
  244. Kancheli, O. V., and S. G. Matinyan, 1970, Zh. Eksp. Teor. Fiz. Pis'ma Red. 12, 41 [JETP Lett. 12, 30]
  245. Kang, Ik-Ju, and Chan Kyoo Choi, 1968, Phys. Rev. 171, 123
  246. Karlsson, B. R., and J. M. Namysłowski, 1972, Nuovo Cimento A 8, 520
  247. Karplus, R., C. M. Sommerfield, and E. H. Wichmann, 1958, Phys. Rev. 111, 1187
  248. Kelly, R. L., 1971, Phys. Rev. D 4, 1755
  249. Kerman, A. K., and L. S. Kisslinger, 1969, Phys. Rev. 180, 1483
  250. Kerman, A. K., H. McManus, and R. M. Thaler, 1959, Ann. Phys. (N.Y.) 8, 551
  251. Kirillova, L. F., et al., 1964, Proceedings of the XII International Conference on High Energy Physics, Dubna
  252. Kölbig, K., and B. Margolis, 1968, Nucl. Phys. B 6, 85
  253. Kofoed-Hansen, O., 1969, Nuovo Cimento A 60, 621
  254. Kofoed-Hansen, O., and C. Wilkin, 1971, Ann. Phys. (N. Y.) 63, 309
  255. Kohn, W., 1954, Rev. Mod. Phys. 26, 293
  256. Kreisler, M. N., L. W. Jones, M. J. Longo, and J. R. O'Fallon, 1968, Phys. Rev. Lett. 20, 468
  257. Kujawski, E., 1971, Phys. Rev. D 4, 2573
  258. Kujawski, E., 1972, Ann. Phys. (N. Y.) 74, 567
  259. Kujawski, E., 1973, Phys. Rev. C 7, 18
  260. Kujawski, E., and E. Lambert, 1973, Ann. Phys. (N. Y.) 81, 591
  261. Kujawaski, E., D. Sachs, and J. Trefil, 1968, Phys. Rev. Lett 21, 581
  262. Kwieciński, J., L. Leśniak, and K. Zalewski, 1974, Cracow preprint TPJU-4/74 (unpublished)
  263. Lambert, E., and H. Feshbach, 1972, Phys. Lett, B 38, 487
  264. Lambert, E., and H. Feshbach, 1973, Ann. Phys. (N. Y.) 76, 80
  265. Landau, R. H., 1971, Phys. Rev. D 3, 81
  266. Landshoff, P. V., 1969, Phys. Rev. 177, 253
  267. Lax, M., 1951, Rev. Mod. Phys. 23, 287
  268. Le Levier, R. E., and D. S. Saxon, 1952, Phys. Rev. 87, 40
  269. Lee, H., 1968, Phys. Rev. 174, 2130
  270. Lévy, M., and J. Sucher, 1969, Phys. Rev. 186, 1656
  271. Lévy, M., and J. Sucher, 1970, Phys. Rev. D 2, 1716
  272. Lippmann, B., 1956, Phys. Rev. 102, 264
  273. Lippmann, B., M. H. Mittleman, and K. M. Watson, 1959, Phys. Rev. 116, 920
  274. Lippmann, B., and J. Schwinger, 1950, Phys. Rev. 79, 469
  275. Long, R. L., D. M. Cox and S. S. Smith, 1968, J. Res. Nat. Bur. Stand. (U.S.) A 72, 521
  276. Lovelace, C., 1964a, Phys. Rev. 135, B1225
  277. Lovelace, C., 1964b, in Strong Interactions and High Energy Physics, edited by R. G. Moorhouse (Oliver and Boyd, London)
  278. Malenka, B. J., 1954, Phys. Rev. 95, 522
  279. Mandelstam, S., 1963, Nuovo Cimento 30, 1127, 1148
  280. Manning, I., 1965, Phys. Rev. 139, B495
  281. Manning, I., 1972, Phys. Rev. D 5, 1472
  282. Mapleton, R. A., 1967, Proc. Phys. Soc. (Lond.) 91, 868
  283. Margolis, B., 1968a, Phys. Lett. 26B, 524
  284. Margolis, B., 1968b, Nucl. Phys. B 4, 433
  285. Mathur, K. C., A. N. Tripathi, and S. K. Joshi, 1971, J. Phys. B 4, L39
  286. Mathur, K. C., A. N. Tripathi, and S. K. Joshi, 1972, Phys. Rev. A 5, 746
  287. McCarroll, R., and A. Salin, 1967, Proc. R. Soc. Lond. A 300, 202
  288. McGuire, J. H., M. B. Hidalgo, G. D. Doolen, and J. Nuttall, 1973, Phys Rev. A 7, 973
  289. Michael, C., and C. Wilkin, 1969, Nucl. Phys. B 11, 99
  290. Miller, K. J., and M. Krauss, 1968, J. Chem. Phys. 48, 2611
  291. Mittleman, M. H., 1961, Ann. Phys. (N.Y.) 14, 94
  292. Mittleman, M. H., 1965, in Advances in Theoretical Physics, Vol. 1, edited by K. A. Brueckner (Academic, New York), p. 283
  293. Mittleman, M. H., 1970, Phys. Rev. A 2, 1846
  294. Mittleman, M. H., and K. M. Watson, 1959, Phys. Rev. 113, 198
  295. Mittleman, M. H., and K. M. Watson, 1960, Ann. Phys. (N.Y.) 10, 268
  296. Molière, G., 1947, Z. Naturforsch. A 2, 133
  297. Moniz, E. J., and G. D. Nixon, 1971, Ann. Phys. (N.Y.) 67, 58
  298. Moore, R. J., 1970, Phys. Rev. D 2, 313
  299. Mott, N. F., and H. S. W. Massey, 1965, Theory of Atomic Collisions, (Clarendon Press, Oxford), 3rd edition
  300. Moustafa Moussa, H. R., F. J. de Heer, and J. Schutten, 1969, Physica 40, 517
  301. Musgrave, B., 1971, in Phenomenology in Particle Physics, 1971, edited by C. B. Chiu, G. C. Fox, and A. J. G. Hey (Caltech, Pasadena), p. 467
  302. Namysłowski, J. M., 1972a, Nuovo Cimento A 12, 321
  303. Namysłowski, J. M., 1972b, Nuovo Cimento B 12, 331 Nuovo Cimento Lett. 4, 517 ibid.5, 991
  304. Nath, N. R., H. J. Weber, and P. K. Kabir, 1971, Phys. Rev. Lett. 26, 1404
  305. Nuttall, J., and R. W. Stagat, 1971, Phys. Rev. A 3, 1355
  306. Ochkur, V. I., 1963, Zh. Eksp. Teor. Fiz. 45, 734 [Sov. Phys.-JETP 18, 503 (1964)]
  307. Ochkur, V. I., and V. F. Brattsev, 1965a, Opt. Spektrosk. 19, 490 [Opt. Spectrosc. USSR 19, 274 (1965)]
  308. Ochkur, V. I., and V. F. Brattsev, 1965b, Astron. Zh. 42, 1035 [Sov. Astron. -AJ 9, 797 (1966)]
  309. Omnès, R., 1964, Phys. Rev. 134, B1358
  310. Omnès, R., 1965, Phys. Rev. 137, B649
  311. Oppenheimer, J. R., 1928, Phys. Rev. 31, 349
  312. Osborn, T. A., 1970, Ann. Phys. (N.Y.) 58, 417
  313. Osborn, T. A., and K. L. Kowalski, 1971, Ann. Phys. (N.Y.) 68, 361
  314. Ostrofsky, M., G. Breit, and D. P. Johnson, 1936, Phys. Rev. 49, 22
  315. Ott, W. R., W. E. Kauppila, and W. L. Fite, 1967, Phys. Rev. Lett. 19, 1361
  316. Paige, F. E., and L. -L. Wang, 1972, Nucl. Phys. B 46, 477
  317. Palevsky, H., J. L. Friedes, R. J. Sutter, G. W. Bennett, G. J. Igo, W. D. Simpson, G. C. Phillips, D. M. Corley, N. S. Wall, R. L. Stearns, and B. Gottschalk, 1967, Phys. Rev. Lett. 18, 1200
  318. Predazzi, E., 1966, Ann. Phys. (N.Y.) 36, 228, 250
  319. Pumplin, J., 1968, Phys. Rev. 173, 1651
  320. Pumplin, J., and M. Ross, 1968, Phys. Rev. Lett. 21, 1778
  321. Queen, N. M., 1964, Nucl. Phys. 55, 177
  322. Queen, N. M., 1966, Nucl. Phys. 80, 593
  323. Quigg, C., 1970, University of California-Berkeley thesis, UCRL-20032 (unpublished)
  324. Quigg, C., and L. -L. Wang, 1973, Phys. Lett. B 43, 314
  325. Reid, R. V., 1968, Ann. Phys. (N.Y.) 50, 411
  326. Remler, E. A., 1968, Phys. Rev. 176, 2108
  327. Remler, E. A., 1971, Ann. Phys. (N.Y.) 67, 114
  328. Riesenfeld, W. B., and K. M. Watson, 1956, Phys. Rev. 104, 492
  329. Rogers, C., and C. Wilkin, 1972, Nucl. Phys. B 45, 47
  330. Roothann, C. C. J., L. M. Sachs, and A. W. Weiss, 1960, Rev. Mod. Phys. 32, 186
  331. Rosenberg, L., 1964, Phys. Rev. B 135, 715
  332. Ross, D., 1968, Phys. Rev. 173, 1695
  333. Rubin, M. R., R. L. Sugar, and G. Tiktopoulos, 1966, Phys. Rev. 146, 1130
  334. Rubin, M. R., R. L. Sugar, and G. Tiktopoulos, 1967a, Phys. Rev. 159, 1348
  335. Rubin, M. H., R. L. Sugar, and G. Tiktopoulos, 1967b, Phys. Rev. 162, 1555
  336. Saudinos, J., and C. Wilkin, 1974, Ann. Rev. Nucl. Sci. 24 (to be published)
  337. Saxon, D. S., and L. I. Schiff, 1957, Nuovo Cimento 6, 614
  338. Schiff, L. I., 1956, Phys Rev. 103, 443
  339. Schiff, L. I., 1968, Phys. Rev. 176, 1390
  340. Schrauner, E., L. Benofy, and D. W. Cho, 1969, Phys. Rev. 177, 2590
  341. Schwinger, J., 1954, Phys. Rev. 94, 1382
  342. Seaton, M. J., 1961, Proc. Phys. Soc. Lond. 77, 174
  343. Serber, R., 1947, Phys. Rev. 72, 1114
  344. Shakeshaft, R., and L. Spruch, 1973, Phys. Rev. A 8, 206
  345. Shastry, C. S., L. Kumar and J. Callaway, 1970, Phys. Rev. A 1, 1137
  346. Sheorey, V. B., E. Gerjuoy and B. K. Thomas, 1971, J. Phys. B 4, 657
  347. Sidhu, D. P., and C. Quigg, 1973, Phys. Rev. D 7, 755
  348. Silbar, R., and M. M. Sternheim, 1974, Ann. Rev. Nucl. Sci. 24, (to be published)
  349. Sinfailam, A. L., and J. C. Y. Chen, 1972, Phys. Rev. A 5, 1218
  350. Sloan, I. H., 1967, Phys. Rev. 162, 855
  351. Sloan, I. H., 1968, Phys. Rev. 165, 1587
  352. Sopkovich, N. J., 1962, Nuovo Cimento 26, 186
  353. Stodolsky, L., 1966, Phys. Rev. 144, 1145
  354. Sugar, R. L., and R. Blankenbecler, 1969, Phys. Rev. 183, 1387
  355. Sullivan, J., J. P. Coleman and B. H. Bransden, 1972, J. Phys. B 5, 2061
  356. Swift, A. R., 1974, Phys. Rev. D (to be published)
  357. Tai, H., R. H. Bassel, E. Gerjuoy, and V. Franco, 1970, Phys. Rev. A 1, 1819
  358. Tai, H., P. J. Teubner, and R. H. Bassel, 1969, Phys. Rev. Lett. 22, 1415
  359. Takeda, G, and K. M. Watson, 1955, Phys. Rev. 97, 1336
  360. Tarasov, A. V., and C. Tsérén, 1970, Yad. Fiz. 12, 978 [Sov. J. Nucl. Phys. 12, 533 (1971)]
  361. Teubner, P. J. O., C. R. Lloyd, and E. Wiegold, 1973, J. Phys. B (Letters) 6, L134
  362. Thomas, B. K., and F. T. Chan, 1973, Phys. Rev. A 8, 252
  363. Thomas, B. K., and E. Gerjuoy, 1971, J. Math. Phys. 12, 1567
  364. Tobocman, W., 1961, Theory of Direct Nuclear Reactions Clarendon Press, Oxford
  365. Tobocman, W., and M. Pauli, 1972, Phys. Rev. D 5, 2088
  366. Trefil, J., 1969, Phys. Rev. 180, 1366, 1379
  367. Tsérén, C. 1968, Yad. Fiz. 8, 1227 [Sov. J. Nucl. Phys. 8, 710 (1969)]
  368. Udgaonkar, B. M., and M. Gell-Mann, 1962, Phy. Rev. Lett. 8, 346
  369. Van Hove, L., 1972, Nucl. Phys. B 46, 75
  370. Van Hove, L., 1973, CERN preprint TH-1685
  371. Vriens, L., C. E. Kuyatt, and S. R. Mielczarek, 1968, Phys. Rev. 170, 163
  372. Vriens, L., J. A. Simpson, and S. R. Mielczarek, 1968, Phys. Rev. 165, 7
  373. Wallace, S. J., 1971, Phys. Rev. Lett. 27, 622
  374. Wallace, S. J., 1973a, Ann. Phys. (N.Y.) 78, 190
  375. Wallace, S. J., 1973b, Phys. Rev. D 8, 1846
  376. Wallace, S. J., 1973c, Phys. Rev. D 8, 1934
  377. Walters, H. R. J., 1973, J. Phys. B 6, 1003
  378. Watson, K. M., 1953, Phys. Rev. 89, 575
  379. Watson, K. M., 1956, Phys. Rev. 103, 489
  380. Watson, K. M., 1957, Phys. Rev. 105, 1388
  381. Watson, K. M., and J. Nuttall, 1967, Topics in Several Particle Dynamics, (Holden-Day. San Francisco), Chap. 4
  382. Weinberg, S., 1963a, Phys. Rev. 130, 776
  383. Weinberg, S., 1963b, Phys. Rev. 131, 140
  384. Weinberg, S., 1964a, Phys. Rev. B 133, 232
  385. Weinberg, S., 1964b, Phys. Rev. B 133, 1589
  386. Weinberg, S., 1964c, Phys. Rev. B 135, 202
  387. West, G. B., 1972, Ann. Phys. (N.Y.) 74, 464
  388. Wilets, L., and S. J. Wallace, 1968, Phys. Rev. 169, 84
  389. Wilkin, C., 1964, Nuovo Cimento 31, 377
  390. Wilkin, C., 1966, Phys. Rev. Lett 17, 561
  391. Wilkin, C., 1968, in Nuclear and Particle Physics, edited by B. Margolis and C. Lam (Benjamin, New York), p. 439
  392. Wilkin, C., 1969, "Graphs and Glauber," Lecture given at the Summer School on Diffractive Processes, McGill University, Montreal
  393. Woollings, M. J., and M. R. C. McDowell, 1972, J. Phys. B 5, 1320
  394. Wu, T. T., 1957, Phys. Rev. 108, 466 Yates, A. C., and A. Tenney, 1972, Phys. Rev. A 6, 1451
  395. Zemach, C., and A. Klein, 1958, Nuovo Cimento 10, 1018
  396. Zolin, L. S., et al., 1966, Zh Eksp. Teor. Fiz. Pis'ma Red. 3, 15 [JETP Lett. 3, 8]

Outline

Information

Rev. Mod. Phys. 46, 279– Published 1 April, 1974

    © 1974 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation