Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

  • By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).
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  • [1] A.Arima, F, lachello, Phys. Rev. Lett., 35(1975), 1069. Ann. Phys. (N. Y.), 99(1976), 253; 111 (1978),;123(1979), 468.[2] A.Bohr, Mat. Fys. Medd. Dan. Vid.Selsk., 26(1952), I.A.Bohr.B. R. Mottelson, "Nuclear structure Vol. 2" (Benjamin, New York, 1975.)[3] J. N.Ginacchia, M. W. Kirson, Phys. Rev. Lett.,44(1980),1744. M. W.Kirsan, Ann. Phys.(N.Y.), 43(1982),448. A. E.L. Dieperink, O. Schalten, Nucl. Phys.,A348(1980), 31[4] A. E. L. Dieperink, Progress in Particke and Nuckear Physics Vol. 9 Pergamon Press Oxford, p. 128.[5] Fu De-ji, Ji De-huang, Chinese Journal of Nuclear phyricr, 11(1989), 21. Xu Gong-ou, Nucl. Phys., A1421(1984), 275.傅德基,潘为平,高能物理与核物理,11(1987),522,徐躬辐,杨亚天,高能物理与核物理,8,(1984),352,[6] D. H. Feng, R. Gilmore, S. R. Deans, Phys. Rev., 023(1981), 1254.[7] Xu Gong-ou, Wang Shun-ji, yang Ya-lain, Phys. Rev., 036(1987),4.徐躬祸,中国科学,6(1974),547,[8] Xu Gong-ou, Yang Yi; Phys, Rev., 041(1990), 1257.[9] E. P. Wigner, Phys. Rev., 40(1932), 749.[10] Xu Gong-ou, Li Fu-li and Fu De-ji, Phys, Rev., 043(1991), 1216.[11] P. O. Lipas et al., phys. Lett., B155(1985),.295.[12] 梁世东,硕士学位论文,上海原子核研究所,(1990),[13] J. M. isenberg, W. Greiner, "Nuclear Models" London, 1970), p36, p143.[14] P. O. Lipas et al., Phys. Scripts, 27(1983), 8.
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LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265.
LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

    Corresponding author: LIANG Shi-Dong,
  • Guangdong Foshan University 5280002 Institute of Nuclear Research Shanghia 2018003 Nanjing University 210008

Abstract: By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).

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