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

Chen Jianhua; Kuang Huisun; Bai Mingfu; Cheng Xiangai

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

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.