Quasiparticle random-phase approximation and {beta}-decay physics: Higher-order approximations in a boson formalism

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.56.782· OSTI ID:528161

Sambataro, M ^[1]; Suhonen, J ^[2]

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1. Istituto Nazionale di Fisica Nucleare, Sezione di Catania Corso Italia 57, I-95129 Catania (Italy)
2. Department of Physics, University of Jyvaeskylae, Post Office Box 35, SF-40351 Jyvaeskylae (Finland)

The quasiparticle random-phase approximation (QRPA) is reviewed and higher-order approximations are discussed with reference to {beta}-decay physics. The approach is fully developed in a boson formalism. Working within a schematic model, we first illustrate a fermion-boson mapping procedure and apply it to construct boson images of the fermion Hamiltonian at different levels of approximation. The quality of these images is tested through a comparison between approximate and exact spectra. Standard QRPA equations are derived in correspondence with the quasi-boson limit of the first-order boson Hamiltonian. The use of higher-order Hamiltonians is seen to improve considerably the stability of the approximate solutions. The mapping procedure is also applied to Fermi {beta} operators: exact and approximate transition amplitudes are discussed together with the Ikeda sum rule. The range of applicabilty of the QRPA formalism is analyzed. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528161
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 2 Vol. 56; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BETA DECAY
BOSONS
FERMIONS
HAMILTONIANS
MAPPING
QUASI PARTICLES
RANDOM PHASE APPROXIMATION
STABILITY
SUM RULES