Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Nuclear Rotation: Cranking-Model Calculations and Their Relation to Other Treatments

Chin W. Ma* and John O. Rasmussen

  • Heavy Ion Accelerator Laboratory, Yale University, New Haven, Connecticut 06520

  • *Present address: Department of Physics, University of California, Davis, California.

Phys. Rev. C 2, 798 – Published 1 September, 1970

DOI: https://doi.org/10.1103/PhysRevC.2.798

Abstract

The generalized cranking model is used to study the corrections to the nuclear rotational spectra that cause it to deviate from the I(I+1) rule. The fourth-order cranking corrections and the Coriolis-antipairing effect are treated as modes of a generalized vibration in the same way as the centrifugal stretching. The new form helps to explain the success of various two-parameter formulas used to fit the experimental energy levels and shows that they are equivalent. The parameters of such formulas are calculated here microscopically in a good- j basis, and they agree reasonably well with experiment.

References (37)

  1. F. S. Stephens, N Lark, and R. M. Diamond, Phys. Rev. Letters 12, 225 (1964) Nucl. Phys. 63, 82 (1965)
  2. D. R. Inglis, Phys. Rev. 96, 1059 (1954)
  3. B. Mottelson and J. G. Valatin, Phys. Rev. Letters 5, 511 (1960)
  4. T. Udagawa and R. K. Sheline, Phys. Rev. 147, 671 (1966)
  5. K. Y. Chan and J. G. Valatin, Nucl. Phys. 82, 222 (1966) K. Y. Chan, ibid. 85, 261 (1966)
  6. D. R. Bes, S. Landowne, and M. A. J. Mariscotti, Phys. Rev. 166, 1045 (1968)
  7. J. Krumlinde, Nucl. Phys. A121, 306 (1968)
  8. E. R. Marshalek, Phys. Rev. 139, B770 (1965) ibid.158, 993 (1967)
  9. R. M. Diamond, F. S. Stephens, and W. J. Swiatecki, Phys. Letters 11, 315 (1964)
  10. S. M. Harris, Phys. Rev. 138, 509 (1965)
  11. S. A. Moszkowski, in Proceedings of the Conference on Nuclear Spin Parity Assignments, Gattlinburg, Tennessee, 1965, edited by N. B. Gove and R. L. Robinson (Academic Press Inc., New York, 1966)
  12. P. C. Sood, Nucl. Data A4, 281 (1968) Can. J. Phys. 46, 1419 (1968) Phys. Rev. 161, 1063 (1967)
  13. M. A. J. Mariscotti, G. Scharff-Goldhaber, and B. Buck, Phys. Rev. 178, 1864 (1969) M. A. J. Mariscotti, Brookhaven National Laboratory Report No. BNL-11838, 1967 (unpublished)
  14. J. E. Draper, D. G. McCauley, and G. L. Smith, to be published
  15. R. K. Gupta, Can. J. Phys. 47, 299 (1969) R. K. Gupta and L. G. H. Trainor, to be published E. Wold, Nucl. Phys. A130, 650 (1969) P. Holmberg and P. O. Lipas, A117, 552 (1968)
  16. S. T. Belyaev, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 31, No. 11 (1959)
  17. S. G. Nilsson and O. Prior, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 32, No. 16 (1961)
  18. J. J. Griffin and M. Rich, Phys. Rev. 118, 850 (1960)
  19. S. G. Nilsson, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 29, No. 16 (1955) B. Mottelson and S. G. Nilson, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Skr. 1, No. 8 (1959) C. Gustafson, I. L. Lamm, B. Nilsson, and S. G. Nilsson, Arkiv Fysik 36, 613 (1967)
  20. D. J. Thouless, Nucl. Phys. 21, 225 (1960) D. J. Thouless and J. G. Valatin, Phys. Rev. Letters 5, 509 (1960)
  21. L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1955), 2nd ed
  22. D. Ward, R. M. Diamond, and F. S. Stephens, Nucl. Phys. A117, 309 (1968)
  23. N. N. Bogoliubov, J. Exp. Theoret. Phys. U.S.S.R. 34, 58 (1958) Nuovo Cimento 7, 794 (1958) J. G. Valatin, ibid. 7, 843 (1958)
  24. M. Rich, Nucl. Phys. A90, 407 (1967)
  25. J. Bang, J. Krumlinde, and S. G. Nilsson, Phys. Letters 15, 55 (1965)
  26. Y. Nogami, Phys. Rev. 134, B313 (1964) Y. Nogami and I. J. Zucker, Nucl. Phys. 60, 203 (1964)
  27. A. Bohr and B. R. Mottelson, lecture notes, University of California at Berkeley, 1966 (unpublished)
  28. S. G. Nilsson, C. F. Tsang, A. Sobiczewski, Z. Szymanski, S. Wycech, C. Gustafson, I. L. Lamm, P. Moller, and B. Nilsson, Nucl. Phys. A131, 1 (1969)
  29. V. M. Strutinsky, Nucl. Phys. A95, 420 (1967)
  30. W. D. Myers and W. J. Swiatecki, Nucl. Phys. 81, 1 (1966) Arkiv Fysik 36, 583 (1967)
  31. Omitted endnote

  32. A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 26, No. 14 (1952)
  33. A. Bohr and B. R. Mottelson, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 30, No. 1 (1955)
  34. O. Prior, F. Boehm, and S. G. Nilsson, Nucl. Phys. A110, 257 (1968)
  35. C. W. Ma and J. O. Rasmussen, in Proceedings of the International Conference on Properties of Nuclear States, Montreal, Canada, 1969, edited by M. Harvey (Presses de l'Université de Montréal, Montréal, Canada, 1969), p. 6
  36. K. Kumar and M. Baranger, Nucl. Phys. A112, 273, 241 (1968) ibid.A110, 529, 490 (1968) ibid.62, 113 (1965)
  37. O. Mikoshiba, R. K. Sheline, T. Udagawa, and S. Yoshida, Nucl. Phys. A101, 202 (1967)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation