Quasiparticle random-phase approximation and {beta}-decay physics: Higher-order approximations in a boson formalism
- Istituto Nazionale di Fisica Nucleare, Sezione di Catania Corso Italia 57, I-95129 Catania (Italy)
- 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, Vol. 56, Issue 2; Other Information: PBD: Aug 1997
- Country of Publication:
- United States
- Language:
- English
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