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Prog. Theor. Phys. Vol. 50 No. 1 (1973) pp. 121-136

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Axially-Symmetric and Gamma-Unstable Deformations in Nuclei

Yasutoshi Tanaka and Toshiaki Tomoda*

Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo
*Department of Physics, University of Tokyo, Tokyo

(Received January 8, 1973)

Abstract:

In addition to the rare earth nuclei, there appear band-like structures in many regions of even-even nuclei whose neutrons are rich or dificient. These band structures are named quasi-ground, quasi-β and quasi-γ bands as counterparts of those collective states in the well-deformed region. Nuclei having the quasi-ground band are thought to be in transition regions from spherical to deformed and the low-lying quasi-β or quasi-γ band indicates the softness against the β or γ vibration of these nuclei. A method is proposed in order to predict whethera nucleus is preferable to be axially-symmetric or γ-unstable if it is deformed. This method consists of introducing an idea of preferred shapes of the proton and neutron systems in each case. By the preferred shape we mean the preferred direction of deformation that the system should have inherently. It can be predicted from the preferred shapes of protons and neutrons whether the deformation of the nucleus is axially-symmetric or γ-unstable. This method is applied to the lighter Ge, Se, Kr and Sr isotopes, the heavier Zr, Mo and Ru isotopes and the lighter Xe, Ba and Ce isotopes and its prediction is compared with the potential energy surfaces of these nuclei calculated within a framework of the time dependent Hartree-Bogoliubov theory with the pairing plus quadrupole force.


URL : http://ptp.ipap.jp/link?PTP/50/121/
DOI : 10.1143/PTP.50.121

[ Full Text PDF : FREE ACCESS (1505K) ] Citation:

References:

  1. H. Morinaga and N. L. Lark, Nucl. Phys. 67 (1965), 315[CrossRef].
    I. Bergström, C. J. Herrlander, A. Kerek and A. Luukko, Nucl. Phys. A 123 (1969), 99[CrossRef].
    D. Ward, R. M. Diamond and F. S. Stephens, Nucl. Phys. A 117 (1968), 309[CrossRef].
  2. E. Cheifetz, R. C. Jared, S. G. Thompson and J. B. Wilhelmy, Phys. Rev. Lett. 25 (1970), 38[APS].
  3. T. Inamura, Private communications.
  4. R. K. Sheline, Rev. Mod. Phys. 32 (1960), 1[APS].
  5. M. Sakai, Nucl. Phys. A 104 (1967), 301[CrossRef]; Nucl. Data Tables A 8 (1970), 323; Report of Institute for Nuclear Study INS-J-136 (1972).
  6. A. Bohr, Kgl. Danske Videnskab. Selskab. Mat.-fys. Medd. 26 (1952), No. 14.
    L. Willet and M. Jean, Phys. Rev. 102 (1956), 788[APS].
    A. S. Davydov and G. F. Fillipov, Nucl. Phys. 8 (1958), 237[CrossRef].
  7. M. Baranger, Phys. Rev. 122 (1960), 992[APS].
    A. K. Kerman and A. Klein, Phys. Rev. 132 (1963), 1326[APS].
    S. T. Belyaev, Nucl. Phys. 64 (1965), 17[CrossRef].
  8. M. Baranger and K. Kumar, Nucl. Phys. 62 (1965), 113[CrossRef]; Nucl. Phys. A 110 (1968), 490[CrossRef]; ibid. 122 (1968), 241[CrossRef].
    K. Kumar and M. Baranger, Nucl. Phys. A 110 (1968), 520; ibid. 122 (1968), 273[CrossRef].
  9. S. T. Belyaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].
    T. Marumori, M. Yamamura and A. Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
    B. Sorensen, Nucl. Phys. A 97 (1967), 1[CrossRef]; ibid. 119 (1968), 65[CrossRef]; ibid. 142 (1970), 392[CrossRef]; ibid. 142 (1970), 411[CrossRef].
    S. Y. Li, R. M. Dreizler and A. Klein, Phys. Rev. C 4 (1971), 1571[APS].
    G. Gneuss and W. Greiner, Nucl. Phys. A 171 (1971), 449[CrossRef].
    T. Kishimoto and T. Tamura, Nucl. Phys. A 192 (1972), 246[CrossRef].
  10. J. J. Griffin and J. A. Wheeler, Phys. Rev. 108 (1957), 311[APS].
    N. Onishi and S. Yoshida, Nucl. Phys. 80 (1966), 367[CrossRef].
  11. T. Marumori, Y. Shono, M. Yamamura, A. Tokunaga and Y. Miyanishi, Phys. Lett. B 25 (1967), 249[CrossRef].
    D. H. E. Gross and M. Yamamura, Nucl. Phys. A 140 (1970), 625[CrossRef].
  12. Y. Tanaka, K. Ogawa and A. Arima, Prog. Theor. Phys. 45 (1971), 85[PTP].
  13. B. R. Mottelson, Proceedings of the International School of Physics “Enrico Fermi”, Course XV, p. 44.
  14. K. Ikeda, Private communications.
  15. B. R. Mottelson and S. G. Nilsson, Kgl. Danske Videnskab. Selskab, Mat.-fys. Skr. 1 (1959), No. 8.
  16. L. Silverberg, Ark. for Phys. 20 (1961), 341; Nucl. Phys. 60 (1964), 483[CrossRef].
  17. L. S. Kisslinger and R. A. Sorensen, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 32 (1960), No. 9; Rev. Mod. Phys. 35 (1963), 853[APS].
  18. N. L. Lark and H. Morinaga, Nucl. Phys. 63 (1965), 466[CrossRef].
  19. P. H. Stelson and L. Grodzins, Nucl. Data Tables A 1 (1965), 21.
  20. O. Häusser, Preprint.
  21. D. A. Arseniev, A. Sobiczewski and V. G. Soloviev, Nucl. Phys. A 139 (1969), 269[CrossRef].
  22. D. A. Arseniev, A. Sobiczewski and V. G. Soloviev, Nucl. Phys. A 126 (1969), 15[CrossRef].
  23. V. S. Shirley, Proceedings of the Conference on Hyperfine Interactions Detected by Nuclear Radiation, Rehovot (1970), Vol. 4, 1255.
  24. B. C. Carlson, J. Math. Phys. 2 (1961), 441[CrossRef].

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