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Chinese Physics, 2007, Vol. 16(7): 1941-1946    DOI: 10.1088/1009-1963/16/7/022
NUCLEAR PHYSICS Prev   Next  

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)
Department of Physics, Chifeng College, Chifeng 024001, China
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.
Keywords:  nuclear structure      critical behaviour      X(5) nuclei      IBM  
Received:  26 July 2006      Revised:  22 January 2007      Accepted manuscript online: 
PACS:  21.10.-k (Properties of nuclei; nuclear energy levels)  
  21.60.Ev (Collective models)  
  21.65.-f (Nuclear matter)  
  23.20.-g (Electromagnetic transitions)  
Fund: 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

Cite this article: 

Zhang Jin-Fu(张进富), Lü Li-Jun(吕立君), and Bai Hong-Bo(白洪波) Critical behaviour in nuclear structure from spherical to axially symmetric deformed shape in IBM 2007 Chinese Physics 16 1941

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