Renormalized quasiparticle random phase approximation and double beta decay: A critical analysis of double Fermi transitions

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.54.1976· OSTI ID:385839

Hirsch, J G; Hess, P O; Civitarese, O ^[1]

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1. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 D.F. (Mexico)

The proton-neutron monopole Lipkin model, which exhibits some properties that are relevant for those double beta decay ({beta}{beta}) transitions mediated by the Fermi matrix elements, is solved exactly in the proton-neutron two-quasiparticle space. The exact results are compared with the ones obtained by using the quasiparticle random phase approximation (QRPA) and renormalized QRPA (RQRPA) approaches. It is shown that the RQRPA violates the Ikeda sum rule and that this violation may be common to any extension of the QRPA where scattering terms are neglected in the participant one-body operators as well as in the Hamiltonian. This finding underlines the need of additional developments before the RQRPA could be adopted as a reliable tool to compute {beta}{beta} processes. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 385839
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 54; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DOUBLE BETA DECAY
FERMI INTERACTIONS
HALF-LIFE
HAMILTONIANS
MATRIX ELEMENTS
QUANTUM OPERATORS
QUASI PARTICLES
RANDOM PHASE APPROXIMATION
SUM RULES
TRANSITION AMPLITUDES