Comparison of the [ital pn] quasiparticle RPA and shell model for Gamow-Teller beta and double-beta decays

Journal Article · Tue Jun 01 04:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.2641· OSTI ID:6462376

Zhao, L; Brown, B A ^[1]

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1. National Superconducting Cyclotron Laboratory and Department of Physics Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

We examine the validity of the [ital pn] quasiparticle RPA ([ital pn]QRPA) as a model for calculating [beta][sup +] and 2[nu][beta][beta] Gamow-Teller decays by making a comparison of the [ital pn]QRPA with a large-basis shell-model calculation within the 0[ital f]1[ital p] shell. We employ [ital A]=46 nuclei (those with six valence nucleons) for this comparison. Our comparison includes the decay matrix elements summed over final states, the strength distributions, and, for the first time, the coherent transition matrix elements (CTME). The [ital pn]QRPA overestimates the total [beta][sup +] and 2[nu][beta][beta] matrix elements. There are large differences in the shape of the spectra as well as in the CTME between the [ital pn]QRPA and shell-model results. Empirical improvements for the [ital pn]QRPA are discussed.

• OSTI ID: 6462376
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:6; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663210* -- Ground-State Radioactivity-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETA DECAY
BETA-MINUS DECAY
BETA-PLUS DECAY
DECAY
DOUBLE BETA DECAY
GAMOW-TELLER RULES
MATHEMATICAL MODELS
NUCLEAR DECAY
NUCLEAR MODELS
RANDOM PHASE APPROXIMATION
SHELL MODELS