Beta Decay Theory in the Projected Shell Model

GAO Zao-Cun; SUN Yang; CHEN Yong-Shou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 65-67

Beta Decay Theory in the Projected Shell Model

China Institute of Atomic Energy, Beijing 102413, China2 University of Notre Dame, Notre Dame, Indiana 46556, USA

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Abstract：
A method for calculation of Gamow-Teller transition is developed in the framework of the Projected Shell Model (PSM). The shell model wavefunction is the superposition of the angular-momentum-projected multi-quasiparticle configurations. Calculation of transition matrix elements in the PSM is briefly discussed. Our first example indicates that, while experimentally known Gamow-Teller transition rates from the ground state of the parent nucleus are reproduced, stronger transitions from some low-lying excited states are predicted to occur, which may considerably enhance the total decay rates once these nuclei are exposed to hot stellar environments.

References

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. Fuller G M et al. Ap. J. Suppl., 1980, 42: 4472. Aufderheide M B et al. Phys. Rev., 1993, C47: 29613. Langanke K, Martnez-Pinedo G. Rev. Mod. Phys., 2003,75: 8194. Hara K, Sun Y. Int. J. Mod. Phys., 1995, E4: 6375. Sheikh J A, Hara K. Phys. Rev. Lett., 1999,82: 39686. CHEN Y S, GAO Z C. Phys. Rev., 2001, C63: 0143147. SUN Y et al. Nucl. Phys., 2002, A703: 1308. SUN Y, WU C L. Phys. Rev.,2003, C68: 0243159. GAO Z C, CHEN Y S, SUN Y. Phys. Lett., 2006, B634:19510. Kuz'min V A, Soloviev V G. Nucl. Phys., 1998, A486: 11811. Tanabe K et al. Phys. Rev., 1999, C59: 249212. Jain A K et al. Rev. Mod. Phys., 1990,62: 39313. Cameron A. Ap. J., 1959, 130: 45214. Bahcall J. Phys. Rev., 1961, 124: 49515. Kappeler F. Prog. Part. Nucl. Phys., 1999, 43: 41916. Pfeiffer B et al. Nucl. Phys., 2001, A693: 28217. Schatz H et al. Phys. Rep., 1998, 294: 167

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GAO Zao-Cun, SUN Yang and CHEN Yong-Shou. Beta Decay Theory in the Projected Shell Model[J]. Chinese Physics C, 2006, 30(S2): 65-67.

GAO Zao-Cun, SUN Yang and CHEN Yong-Shou. Beta Decay Theory in the Projected Shell Model[J]. Chinese Physics C, 2006, 30(S2): 65-67. shu

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Received: 2006-10-13
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

Beta Decay Theory in the Projected Shell Model

Corresponding author: GAO Zao-Cun,

China Institute of Atomic Energy, Beijing 102413, China2 University of Notre Dame, Notre Dame, Indiana 46556, USA

Received Date: 2006-10-13
Accepted Date: 1900-01-01
Available Online: 2006-01-03

Abstract: A method for calculation of Gamow-Teller transition is developed in the framework of the Projected Shell Model (PSM). The shell model wavefunction is the superposition of the angular-momentum-projected multi-quasiparticle configurations. Calculation of transition matrix elements in the PSM is briefly discussed. Our first example indicates that, while experimentally known Gamow-Teller transition rates from the ground state of the parent nucleus are reproduced, stronger transitions from some low-lying excited states are predicted to occur, which may considerably enhance the total decay rates once these nuclei are exposed to hot stellar environments.