Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group

Chen Jianhua; Kuang Huisun; Bai Mingfu; Cheng Xiangai

Chinese Physics C> 1995, Vol. 19> Issue(5) : 424-430

Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group

Department of Applied Physics, National University of Defence Technology, Changsha 410073

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Abstract：
The further classifications of JT coupled states for nucleons by the Casimir operator C of R(5) group have been calculated. The multiplicities of JTC classification (which depends on both J and T) have been factorized into one factor depending on J and T, and the results for j≤7/2 are listed. Tollowing the irredicible representation of R(5), the siniority v and reduced isotopic spin τ can be used to simplify the calculation of matrix elements of any tensor operator by the selection rules of υ and τ.

References

[1]	J.H.Chen,X.A.Cheng,Y.D.Gao,Acta Physica Sinca（OverseasEdition）,2（1993）890.[2]B.H.Flower,B.Szpikowski,Proc.Phys.Soc,84（1964）193.[3]陈健华、况蕙孙，二次量子化方法在原子结构计算中的应用，湖南科技出版社，1992.

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Chen Jianhua, Kuang Huisun, Bai Mingfu and Cheng Xiangai. Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group[J]. Chinese Physics C, 1995, 19(5): 424-430.

Chen Jianhua, Kuang Huisun, Bai Mingfu and Cheng Xiangai. Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group[J]. Chinese Physics C, 1995, 19(5): 424-430. shu

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Received: 1900-01-01
Revised: 1900-01-01

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