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SUq(2) Analysis of Nuclear Rotational Spectra

  • The validity of the quantum group SUq(2) expression for the nuclear rotational spectrum is investigated thoroughly.Analyses (including the Mallmann plots,the relations for the I(I+1) expansion coefficients,energy spectra,etc.)definitely display a systematical deviation of the SUq(2) prediction from the experimental data available for the even-even rare-earth and actinide nuclei.Only within a limited range of angular momentum the SUq(2) expression is suitable for rotational spectra.A significant angular momentum dependence of q-deformation parameter is found.The q-deformation is derectly related to the nuclear softness.
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  • [1] L. D. Faddeev, in: Les Houches Lectures, (1982).[2] W. G. Drinfeld, Quantum Groups Proc. ICM (Berkeley, 1986), p. 798[3] M. Jimbo, Lett. Math. Phys., 10(1985), 63.[4] L. G. Biedenharn,J. Phys.,A22(1989), L873.A.J.Macfarlane,J.Phys., A22(1989),4581.C. P. Sun and H. C. Hu, J.Phys., A22(1989), L983.Y.J.Ng, J. Phys., A23(1990). 1023.[5] X. C. Song, J. Phys., A23(1990), L821.B. Y. Hou, B. Y. Hou and Z. Q. Ma, Common: Theor. Phys. (Beijing), 13(1990), 181.[6] P. P. Raychev, R. P. Roussev, and Yu. F. Smirnov, J. Phys. G, to be Published.[7] Dennis Bonatsos, E. N. Argyres. S. B. Drenska, P. P. Raychev, R. P. Roussev, and Yu. F. Smirnov, Phys.Lett., B251(1990), 477.[8] C.L. Mallmann, Phys. Rev. Lett, 2(1959), 507.[9] M.A. J. Mariscotti, G. Scharff-Goldhaber, and B. Buck,Phys. Rev., 178(1969), 1864.G. Scharff-Goldhaber, C. Dover, and A. L. Goodman,Ann. Rev. Nucl. Sci., 26(1976), 239.[10] J. L. Wood and R. W. Fink, Nucl. Phys., A224 (1974), 589.[11] A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. II, Nuclear Deformations. Beniamin, New York(1975).[12] S. M.Harris, Phys,Rev. Lett., 13(1964), 663; Phys. Rev., B138(1965),589[13] C. S.Wu and J. Y.Zeng, Commun. Theor,Phys. (Beijing), 8(1987), 51.H .X. Huang, C. S.Wu, and J. Y. Zeng,Phys. Rev., C39{1989), 1617.[14] F. X. Xu, C. S, Wu, and J. Y. Zeng; Phys. Rev., C40(1989), 2337.[15] B. R. Mottelson. Proc. Nuclear Structure Symposium of Thousand Lakes, Joutsa, 1970. Nordisk Institut for Theoretisk Atomfysik, Nordita, Report No. 417.[16] R. Bengtsson and S. Frauendorf, Nucl. Phys., A327(1979), 139.[17] M. J. de Voigt, J. Dudek, and Z. Szymahski, Rev. Mod. Phys., 55(1983), 949.
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MENG Jie, WU Chong-Shi and ZENG Jin-Yan. SUq(2) Analysis of Nuclear Rotational Spectra[J]. Chinese Physics C, 1992, 16(1): 90-96.
MENG Jie, WU Chong-Shi and ZENG Jin-Yan. SUq(2) Analysis of Nuclear Rotational Spectra[J]. Chinese Physics C, 1992, 16(1): 90-96. shu
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Received: 1900-01-01
Revised: 1900-01-01
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SUq(2) Analysis of Nuclear Rotational Spectra

    Corresponding author: MENG Jie,
  • Department of Physics,Peking University,Beijing 100871

Abstract: The validity of the quantum group SUq(2) expression for the nuclear rotational spectrum is investigated thoroughly.Analyses (including the Mallmann plots,the relations for the I(I+1) expansion coefficients,energy spectra,etc.)definitely display a systematical deviation of the SUq(2) prediction from the experimental data available for the even-even rare-earth and actinide nuclei.Only within a limited range of angular momentum the SUq(2) expression is suitable for rotational spectra.A significant angular momentum dependence of q-deformation parameter is found.The q-deformation is derectly related to the nuclear softness.

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