Number of spin I states for bosons

ZHANG Li-Hua; ZHAO Yu-Min

doi:10.1088/1674-1137/33/S1/043

Chinese Physics C> 2009, Vol. 33> Issue(S1) : 137-139 DOI: 10.1088/1674-1137/33/S1/043

Number of spin I states for bosons

ZHANG Li-Hua ^, ,
ZHAO Yu-Min

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Abstract：
We study number of spin I states for bosons in this paper. We extend Talmi's recursion formulas for number of states with given spin I to boson systems, and we prove empirical formulas for five bosons by using these recursions. We give number of states with given spin I and isospin F for three and four bosons by using sum rules of six-j and nine-j symbols. We also present formulas of states with given spin I and given F-spin for three and four single-l bosons.

References

[1]

. Ginocchio J N, Haxton W C. In Symmetries in Science VI.Edited by Gruber B, Ramek M. New York: Plenum, 1993,263, C63: 0343132. Zamick L, Escuderos A. Phys. Rev. C, 2005, 71: 0543083. ZHAO Y M, Arima A. Phys. Rev. C, 2003, 68: 0443104. Talmi I. Phys. Rev. C, 2005, 72: 0373025. ZHAO Y M, Arima A. Phys. Rev. C, 2005, 71: 0473046. Zamick L, Escuderos A. Phys. Rev. C, 2005, 72: 0443177. ZHAO Y M, Arima A. Phys. Rev. C, 2005, 72: 0643338. ZHAO Y M, Arima A. Phys. Rev. C, 72: 0543079. ZHAO Y M, Arima A. Phys. Rev. C, 70: 034306

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ZHANG Li-Hua and ZHAO Yu-Min. Number of spin I states for bosons[J]. Chinese Physics C, 2009, 33(S1): 137-139. doi: 10.1088/1674-1137/33/S1/043

ZHANG Li-Hua and ZHAO Yu-Min. Number of spin I states for bosons[J]. Chinese Physics C, 2009, 33(S1): 137-139. doi: 10.1088/1674-1137/33/S1/043 shu

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Received: 2008-10-23
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Number of spin I states for bosons

Corresponding author: ZHANG Li-Hua,

Received Date: 2008-10-23

Accepted Date: 1900-01-01

Available Online: 2009-01-10

Abstract: We study number of spin I states for bosons in this paper. We extend Talmi's recursion formulas for number of states with given spin I to boson systems, and we prove empirical formulas for five bosons by using these recursions. We give number of states with given spin I and isospin F for three and four bosons by using sum rules of six-j and nine-j symbols. We also present formulas of states with given spin I and given F-spin for three and four single-l bosons.

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Number of spin I states for bosons

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通讯作者: 陈斌, bchen63@163.com

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