Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Giant multipole resonances in the deformed fissionable nucleus U238

R. Pitthan*, F. R. Buskirk, W. A. Houk, and R. W. Moore

  • Department of Physics and Chemistry, Naval Postgraduate School, Monterey, California 93940

  • *Present address: Stanford Linear Accelerator Center, Stanford, California 94305.

Phys. Rev. C 21, 28 – Published 1 January, 1980

DOI: https://doi.org/10.1103/PhysRevC.21.28

Abstract

The deformed, fissionable nucleus U238 was studied with inelastic scattering of 87.5 MeV electrons between 5 and 40 MeV excitation energy with inelastic momentum transfers ranging from 0.32 fm1 to 0.58 fm1 for an excitation energy of 15 MeV. Resonance cross sections extracted were compared with distorted-wave Born-approximation calculations using the Goldhaber-Teller, Steinwedel-Jensen, and Myers-Swiatecki models of the giant resonance. It is demonstrated that up to the first minimum of the form factor the cross section is nearly completely determined by one parameter, the transition radius Rtr. Using the known systematics of various multipole resonances in other, nonfissionable nuclei as a guide, it was found that the assumed ground state radius of U238 had to be enlarged by about 10% for all multipolarities, to bring the strength found into agreement with the systematics and with other experiments in U238. In particular, while the model-independent values for position and width of the giant dipole resonance agree well with photon experiments, a scaled version of the Myers-Swiatecki model had to be used to produce agreement in strength. Similarly a scaled Goldhaber-Teller model was used for the isoscalar E2 resonance at 9.9 MeV. The situation for the isovector states above the giant dipole resonance, E2, and E3 (or E0 is even more complicated. It is argued that with proper caution and consideration of other available data the use of the collective models mentioned above may give valuable insight into the charge distribution of U238 at higher excitation energies.

NUCLEAR REACTIONS U238(e,e), E0=87.5 MeV. Measured d2σdΩdEx, bound and continuum states (giant resonances). Deduced multipolarity, reduced matrix element B(Eλ), radiative width Γγ0, sum rule exhaustion of giant resonances, total width of continuum and clustered states.

References (68)

  1. B. R. Mottelson, in International Conference on Nuclear Structure, Kingston, 1960, edited by D. A. Bromley and E. W. Vogt (Univ. of Toronto Press and North-Holland, Amsterdam, 1960) A. Bohr, in International Nuclear Physics Conference, Gatlinburg, Tennessee, 1966, edited by R. Becker, C. Goodman, P. Stelson, and A. Zucker (Academic, New York, 1967)
  2. R. Pitthan and Th. Walcher, Phys. Lett. 36B, 563 (1971) Z. Naturforsch. 27a, 1683 (1972)
  3. G. R. Satchler, Nucl. Phys. A195, 1 (1972)
  4. S. Fukuda and Y. Torizuka, Phys. Rev. Lett. 29, 1109 (1972)
  5. D. H. Youngblood, J. M. Moss, C. M. Rozsa, J. D. Bronson, A. D. Bacher, and D. R. Brown, Phys. Rev. C 13, 994 (1976)
  6. J. M. Eisenberg and W. Greiner, Nuclear Models (North-Holland, Amsterdam, 1970)
  7. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, Reading, Mass., 1975). Vol. 2
  8. R. Pitthan, Pol. Akad. Nauk, Nukl. 24, 449 (1979)
  9. M. Danos, Nucl. Phys. 5, 264 (1958)
  10. K. Okamoto, Phys. Rev. 110, 143 (1958)
  11. Y. Torizuka et al., in Proceedings of the International Conference on Nuclear Structure Using Electron Scattering and Photoreaction, Sendai, Japan, 1972, edited by K. Shoda and H. Ui (Tohoku Univ., Japan, 1972), Vol. 5, p. 171
  12. A. Schwierczinski, R. Frey, E. Spamer, H. Theissen, and Th. Walcher, Phys. Lett. 55B, 171 (1975)
  13. G. L. Moore, F. R. Buskirk, E. B. Dally, J. N. Dyer, X. K. Maruyama, and R. Pitthan, Z. Naturforsch. 31A, 668 (1976)
  14. F. E. Bertrand, G. R. Satchler, D. J. Horen, and A. van der Wonde, Phys. Rev. C 18, 2788 (1978)
  15. T. Suzuki and D. J. Rowe, Nucl. Phys. A292, 93 (1977)
  16. W. A. Houk, R. W. Moore, F. R. Buskirk, and R. Pitthan (unpublished)
  17. T. Bar-Noy and R. Moreh, Nucl. Phys. A229, 417 (1974)
  18. G. M. Gurevich, L. E. Lazareva, V. M. Mazur, and G. V. Solodukhov, Zh. Eksp. Teor. Fiz. Pis'ma Red. 20, 741 (1974) [JETP Lett. 20, 343 (1974)]
  19. G. M. Gurevich, L. E. Lazareva, V. M. Mazur, G. V. Solodukhov, and B. A. Tulupov, Nucl. Phys. A273, 326 (1976)
  20. A. Veyssière, H. Beil, R. Bergère, P. Carlos, A. Leprêtre, and K. Kernbath, Nucl. Phys. A199, 45 (1973)
  21. J. T. Caldwell, E. J. Dowdy, B. L. Berman, R. A. Alvarez, P. Meyer, Los Alamos Scientific Laboratory Report No. LA-UR76-1615, quoted in Lawrence Livermore Laboratory Report No. UCRL-78482
  22. M. B. Lewis and D. J. Horen, Phys. Rev. C 10, 1099 (1974)
  23. E. Wolynec, M. N. Martins, and G. Moscati, Phys. Rev. Lett. 37, 585 (1976)
  24. J. C. McGeorge, A. Shotter, C. Zimmerman, and A. Flowers, J. Phys. G. Nucl. Phys. 4, L145 (1978) D. H. Dowell, P. Axel, and L. S. Cardman, Phys. Rev. C 18, 1550 (1978)
  25. W. R. Dodge, E. Hayward, G. Moscati, and E. Wolynec, Phys. Rev. C 18, 2435 (1978)
  26. A. C. Shotter, J. M. Reid, J. M. Hendry, D. Branford, J. C. McGeorge, and J. S. Barton, J. Phys. G 2, 769 (1976)
  27. A. C. Shotter, D Branford, J. C. McGeorge, and J. M. Reid, Nucl. Phys. A290, 55 (1977)
  28. A. C. Shotter, C. H. Zimmerman, J. M. Reid, J. C McGeorge, and A. G. Flowers, Nucl. Phys. (to be published)
  29. U. Kneissl, G. Kuhl, K. H. Leister, and A. Weller, Nucl. Phys. A256, 11 (1976)
  30. J. D. T. Arruda Neto, S. B. Herdade, B. S. Bhandari, and I. C. Nascimento, Phys. Rev. C 18, 863 (1978)
  31. R. Pitthan, F. R. Buskirk, E. B. Dally, J. N. Dyer and X. K. Maruyama, Phys. Rev. Lett. 33, 849 (1974) ibid.34, 848 (1975)
  32. R. Pitthan, H. Hass, D. H. Meyer, F. R. Buskirk, and J. N. Dyer, Phys. Rev. C 19, 1251 (1979)
  33. R. Pitthan, F. R. Buskirk, E. B. Dally, J. O. Shannon, and W. H. Smith, Phys. Rev. C 16, 970 (1977)
  34. C. R. Fischer and G. H. Rawitscher, Phys. Rev. 135, B377 (1964)
  35. C. W. de Jager, H. de Vries, and C. de Vries, At. Data Nucl. Data Tables 14, 479 (1974)
  36. E. S. Ginsberg and R. H. Pratt, Phys. Rev. 134, B849 (1964)
  37. E. F. Gordon and R. Pitthan, Nucl. Instrum. Methods 145, 569 (1977)
  38. E. C. Halbert, J. B. McGrory, G. R. Satchler, and J. Speth, Nucl. Phys. A245, 189 (1975)
  39. O. Nathan and S. G. Nilsson, in Alpha, Beta, and Gamma Spectroscopy, edited by K. Siegbahn (North-Holland, Amsterdam, 1965)
  40. J. Weneser and E. K. Warburton, in The Role of Isospin in Nuclear Physics, edited by D. H. Wilkinson (North-Holland, Amsterdam, 1969)
  41. G. Kyrchev, L. A. Malov, V. O. Nesterenko, and V.G. Soloviev, Yad. Fiz. 25, 951 (1977) [Sov. J. Nucl. Phys. 25, 506 (1977)]
  42. A. Migdal, J.Phys. USSR 8, 331 (1944) J. S. Levinger, Nuclear Photodisintegration (Oxford Univ. Press, New York, 1960)
  43. R. A. Ferrell, Phys. Rev. 107, 1631 (1957)
  44. S. T. Tuan, L. E. Wright, and D. S. Onley, Nucl. Instrum. Methods 60, 70 (1968)
  45. J. F. Ziegler and G. A. Peterson, Phys. Rev. 165, 1337 (1968)
  46. T. J. Deal and S. Fallieros, Phys. Rev. C 7, 1709 (1973)
  47. R. S. Hicks, I. P. Auer, J. C. Bergstrom, and H. S. Caplan, Nucl. Phys. A278, 261 (1977)
  48. L. J. Tassie, Aust. J. Phys. 9, 407 (1956)
  49. M. Goldhaber and E. Teller, Phys. Rev. 74, 1046 (1948)
  50. H. Steinwedel and H. Jensen, Z. Naturforsch. 5a, 413 (1950)
  51. W. D. Myers and W. J. Swiatecki, Ann. Phys. (N.Y.) 55, 395 (1969)
  52. W. D. Myers, W. J. Swiatecki, T. Kodama, L. J. El-Jaick, and E. R. Hilf, Phys. Rev. C 15, 2032 (1977)
  53. T. Kodama (unpublished)
  54. R. Pitthan, H. Hass, D. H. Meyer, J. N. Dyer, and F. R. Buskirk, Phys. Rev. Lett. 41, 1276 (1978)
  55. F. E. Bertrand, Annu. Rev. Nucl. Sci. 26, 457 (1976)
  56. T. Kishimoto, J. M. Moss, D. H. Youngblood, J. D. Bronson, C. M. Rosza, D. R. Brown, and A. D. Bacher, Phys. Rev. Lett. 35, 552 (1975)
  57. D. H. Youngblood, C. M. Rosza, J. M. Moss, D. R. Brown, and J. D. Bronson, Phys. Rev. Lett. 39, 1188 (1977)
  58. D. Zawischa and J. Speth, Phys. Rev. Lett. 36, 843 (1976)
  59. N. Auerbach and A. Yeverechyahu, Ann. Phys. (N.Y.) 95, 35 (1975)
  60. N. Auerbach and A. Yeverechyahu, Phys. Lett. 62B, 143 (1975)
  61. T. Suzuki and D. J. Rowe, Nucl. Phys. A292, 93 (1977)
  62. S. V. Akulinichev and L. A. Malov, J. Phys. G 3, 625 (1977)
  63. V. G. Soloviev, report at the 28th Symposium on Nuclear Spectroscopy and Nuclear Structure, Alma Ata, 1978 [Isv. Akad. Nauk USSR, Ser. Fiz.] (to be published)
  64. I. Hamamoto, [11], p. 208
  65. T. Suzuki, Nucl. Phys. A217, 182 (1973)
  66. K. F. Liu and G. E. Brown, Nucl. Phys. A265, 385 (1976)
  67. Th. H. Schucan, Nucl. Phys. 61, 417 (1965)
  68. G. R. Satchler, Part. Nucl. 5, 105 (1973)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation