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Optical-Model Description of Low-Energy Excitations in Nuclear Matter

C. B. Duke*

  • Palmer Physical Laboratory, Princeton University, Princeton, New Jersey and General Electric Research Laboratory, Schenectady, New York

  • *Present address: General Electric Research Laboratory, Schenectady, New York.

Phys. Rev. 136, B59 – Published 12 October, 1964

DOI: https://doi.org/10.1103/PhysRev.136.B59

Abstract

The decay of single-particle excitations in nuclear matter is calculated in the low-density-gas approximation (independent-pair approximation) using a separable nucleon-nucleon interaction. For low-energy excitations this decay is describable in terms of an optical model during a time interval which is longer than 5×1023 sec but shorter than 5×1021 sec. In contrast to earlier calculations, the applicability of the optical model is verified and the mean energy of an excitation is computed prior to the evaluation of the optical-model parameters. Previous calculations of these parameters are shown to lead either to a circumstance in which an optical-model description of the decay is inapplicable or to an excitation whose mean energy is far off the energy shell.

References (41)

  1. V. M. Galitskii and A. B. Migdal, Zh. Eksperim. i Teor. Fiz. 34, 139 (1958) [English transl.: Soviet Phys.—JETP 7, 96 (1958)]
  2. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, R. A. SilvermanMethods of Quantum Field Theory in Statistical Physics, translated by (Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1963)
  3. K. A. Brueckner, R. J. Eden, and N. C. Francis, Phys. Rev. 100, 891 (1955) K. A. Brueckner, ibid. 103, 172 (1956)
  4. G. L. Shaw, Ann. Phys. (N. Y.) 8, 509 (1959)
  5. L. C. Gomes, Phys. Rev. 116, 1226 (1959)
  6. L. Verlet and J. Gavoret, Nuovo Cimento 10, 505 (1958)
  7. L. Verlet, Ann. Phys. (Paris) 4, 644 (1959) Nuovo Cimento 10, 821 (1958)
  8. J. Sawicki and S. A. Moszkowski, Nucl. Phys. 21, 456 (1960)
  9. J. A. Wheeler, Phys. Rev. 50, 643 (1936)
  10. Y. Yamaguchi, Phys. Rev. 95, 1628 (1954)
  11. H. A. Bethe and J. Goldstone, Proc. Roy. Soc. (London) A238, 551 (1957) L. C. Gomes, J. D. Walecka, and V. F. Weisskopf, Ann. Phys. (N. Y.) 3, 241 (1958) A. Deshalit and V. F. Weisskopf, 5, 282 (1958) C. B. Duke, Phys. Rev. 136, B49 (1964)
  12. E. Clementel and C. Villi, Nuovo Cimento 2, 176 (1955) G. C. Morrison, H. Muirhead, and P. A. B. Murdoch, Phil. Mag. 46, 795 (1955) A. M. Lane and C. F. Wandel, Phys. Rev. 98, 1524 (1955) S. Hayakawa, M. Kawai, and K. Kikuchi, Progr. Theoret. Phys. (Kyoto) 13, 415 (1955) K. Harada and N. Oda, ibid. 21, 260 (1959) K. Kikuchi, Nucl. Phys. 12, 305 (1959) J. Sawicki, Nuovo Cimento 15, 504 (1960) T. Terasawa, Nucl. Phys. 39, 563 (1962)
  13. M. H. MacGregor, M. J. Moravcsik, and H. P. Stapp, Ann. Rev. Nucl. Sci. 10, 291 (1960)
  14. C. B. Duke, Princeton University, Ph.D. thesis, 1963 (unpublished)
  15. J. M. Luttinger, Phys. Rev. 121, 942 (1961) A. J. Layzer, ibid. 129, 897 (1963)
  16. F. L. Friedman and V. F. Weisskopf, Niels Bohr and the Development of Physics, edited by W. Pauli (Pergamon Press Ltd., London, England, 1955), p. 134 N. C. Francis and K. M. Watson, Phys. Rev. 92, 291 (1953) V. F. Weisskopf, Rev. Mod. Phys. 29, 174 (1957)
  17. H. A. Bethe, B. H. Brandow, and A. G. Petschek, Phys. Rev. 129, 225 (1963) T. Terasawa, Nucl. Phys. 39, 563 (1962)
  18. R. L. Becker, Phys. Rev. 127, 1328 (1962)
  19. R. Brout, Phys. Rev. Letters 5, 193 (1960) L. D. Landau, Zh. Eksperim. i Teor. Fiz. 35, 97 (1958) [English transl.: Soviet Phys.—JETP 8, 70 (1959)]
  20. M. L. Goldberger and K. M. Watson, Collision Theory (John Wiley & Sons, Inc., New York, 1964), Chap. 11
  21. W. Kohn and J. M. Luttinger, Phys. Rev. 118, 41 (1960) J. M. Luttinger and J. C. Ward, ibid. 118, 1417 (1960)
  22. D. J. Thouless, The Quantum Theory of Many-Body Systems (Academic Press Inc., New York, 1961), p. 69
  23. P. Nozières, Theory of Interacting Fermi Systems (W. A. Benjamin, Inc., New York, 1964), p. 70
  24. J. Goldstone, Proc. Roy. Soc. (London) A239, 267 (1957)
  25. [2]
  26. J. Dabrowski and J. Sawicki, Nucl. Phys. 22, 318 (1961)
  27. C. B. Duke, [11]
  28. G. E. Brown, Rev. Mod. Phys. 31, 893 (1959)
  29. A. M. Lane and R. G. Thomas, Rev. Mod. Phys. 30, 257 (1958), Sec. XI
  30. A. K. Kerman, L. R. Rodberg, and J. E. Young, Phys. Rev. Letters 11, 422 (1963) R. H. Lemmer and C. M. Shakin, Ann. Phys. (N. Y.) 27, 13 (1964)
  31. J. Hubbard, Proc. Roy. Soc. (London) A240, 539 (1957) G. E. Brown, J. A. Evans, and D. J. Thouless, Nucl. Phys. 24, 1 (1961)
  32. H. A. Bethe, Phys. Rev. 103, 1353 (1956)
  33. J. M. Luttinger, Phys. Rev. 119, 1153 (1960)
  34. R. D. Puff, Ann. Phys. (N. Y.) 13, 317 (1961) D. S. Falk and L. Wilets, Phys. Rev. 124, 1887 (1961) J. C. Reynolds and R. D. Puff, ibid. 130, 1877 (1963) A. S. Reiner, ibid. 133, B1105 (1964)
  35. N. M. Hugenholtz and L. Van Hove, Physica 24, 363 (1958)
  36. [18]
  37. D. G. Ravenhall, Rev. Mod. Phys. 30, 430 (1958)
  38. A. E. S. Green, Rev. Mod. Phys. 30, 569 (1958)
  39. A. S. Reiner, Phys. Rev. 133, B1105 (1964)
  40. E. P. Wigner, Ann. Math. 53, 36 (1951)
  41. K. A. Brueckner and J. L. Gammel, Phys. Rev. 109, 1023 (1958)

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