Shell model method for Gamow-Teller transitions in heavy, deformed nuclei

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.054303· OSTI ID:20864019

Zaochun, Gao ^[1]; Yang, Sun ^[1]; Chen, Y -S ^[2]

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1. Joint Institute for Nuclear Astrophysics and Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556 (United States)
2. China Institute of Atomic Energy, P.O. Box 275(18), Beijing 102413 (China)

A method for calculation of Gamow-Teller transition rates is developed by using the concept of the Projected Shell Model (PSM). The shell model basis is constructed by superimposing angular-momentum-projected multiquasiparticle configurations, and nuclear wave functions are obtained by diagonalizing the two-body interactions in these projected states. Calculation of transition matrix elements in the PSM framework is discussed in detail, and the effects caused by the Gamow-Teller residual forces and by configuration-mixing are studied. With this method, it may become possible to perform a state-by-state calculation for {beta}-decay and electron-capture rates in heavy, deformed nuclei at finite temperatures. 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.

• OSTI ID: 20864019
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BETA DECAY
CONFIGURATION MIXING
DEFORMED NUCLEI
ELECTRON CAPTURE
EXCITED STATES
GAMOW-TELLER RULES
GROUND STATES
MATRIX ELEMENTS
NUCLEAR STRUCTURE
SHELL MODELS
TWO-BODY PROBLEM
WAVE FUNCTIONS