Isospin and F-spin symmetry structure in low-lying levels of 48,50Cr isotopes
Falih H. Al-Khudair (法列)ab, Long Gui-Lu (龙桂鲁)abcd
a Department of Physics, Tsinghua University, Beijing 100084, Chinab Key Laboratory for Quantum Information and Measurements, MOE 100084, China; c Centre of Nuclear Theory, Lanzhou Heavy Ion Accelerator National Laboratory, Lanzhou 730000, Chinad Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China
Abstract The low-energy level structure and electromagnetic transitions of $^{48,50}$Cr nuclei have been studied using the interacting boson model with isospin (IBM-3). A sequence of isospin excitation bands with isospin $T=T_z$, $T_z+1$ and $T_z+2$ has been assigned, and compared with available data. According to this study, the $2^+_3$ and $2^+_2$ states are the lowest mixed symmetry states in $^{48}$Cr and $^{50}$Cr, respectively. In particular, the present calculations suggest that a combination of isospin and F-spin excitation can explain the structure in these nuclei. The transition probabilities between the levels are analysed in terms of isoscalar and isovector decompositions which reveal the detailed nature of the energy levels. The results obtained are in good agreement with recent experimental data.
Received: 16 October 2003
Revised: 03 April 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10047001, 10325521), the Major State Basic Research Development Programme (Grant No G200077400) and the SRFDP programme of Education Ministry of China.
Cite this article:
Falih H. Al-Khudair (法列), Long Gui-Lu (龙桂鲁) Isospin and F-spin symmetry structure in low-lying levels of 48,50Cr isotopes 2004 Chinese Physics 13 1230
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