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

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

    Corresponding author: Chen Jianhua,
  • Department of Applied Physics, National University of Defence Technology, Changsha 410073

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.

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