中国物理B ›› 2007, Vol. 16 ›› Issue (7): 1941-1946.doi: 10.1088/1009-1963/16/7/022

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Critical behaviour in nuclear structure from spherical to axially symmetric deformed shape in IBM

张进富, 吕立君, 白洪波   

  1. Department of Physics, Chifeng College, Chifeng 024001, China
  • 收稿日期:2006-07-26 修回日期:2007-01-22 出版日期:2007-07-20 发布日期:2007-07-04
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos~10265001 and 10547003), the Natural Science Foundation of Inner Mongolian, China (Grant No~200607010111), and Chifeng College Scientific Research Fund of China (Grant

Critical behaviour in nuclear structure from spherical to axially symmetric deformed shape in IBM

Zhang Jin-Fu(张进富)† , Lü Li-Jun(吕立君), and Bai Hong-Bo(白洪波)   

  1. Department of Physics, Chifeng College, Chifeng 024001, China
  • Received:2006-07-26 Revised:2007-01-22 Online:2007-07-20 Published:2007-07-04
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos~10265001 and 10547003), the Natural Science Foundation of Inner Mongolian, China (Grant No~200607010111), and Chifeng College Scientific Research Fund of China (Grant

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摘要： To compare with the predictions of the transitional dynamical symmetry X(5) proposed by Iachello (2001 Phys. Rev. Lett. 87 052502), the critical behaviours of U(5)--SU(3) are studied in the space of two control parameters in the interacting boson model (IBM). A simple-shaped phased diagram has been presented. It is found that X(5) predictions cannot be exactly reproduced by our calculations and that the best agreement is close to the calculations with boson numbers N = 11 and 12. By comparing with experimental data on X(5)-like nuclei, we find that X(5) predictions and IBM calculations can reproduce the energy ratios and E2 transition ones.

关键词: nuclear structure, critical behaviour, X(5) nuclei, IBM

Abstract: To compare with the predictions of the transitional dynamical symmetry X(5) proposed by Iachello (2001 Phys. Rev. Lett. 87 052502), the critical behaviours of U(5)--SU(3) are studied in the space of two control parameters in the interacting boson model (IBM). A simple-shaped phased diagram has been presented. It is found that X(5) predictions cannot be exactly reproduced by our calculations and that the best agreement is close to the calculations with boson numbers N = 11 and 12. By comparing with experimental data on X(5)-like nuclei, we find that X(5) predictions and IBM calculations can reproduce the energy ratios and E2 transition ones.

Key words: nuclear structure, critical behaviour, X(5) nuclei, IBM

中图分类号:  (Properties of nuclei; nuclear energy levels)

  • 21.10.-k
21.60.Ev (Collective models) 21.65.-f (Nuclear matter) 23.20.-g (Electromagnetic transitions)