Single- and double-beta decay Fermi transitions in an exactly solvable model

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.56.199· OSTI ID:587186

Hirsch, J G ^[1]; Hess, P O ^[2]; Civitarese, O ^[3]

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1. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, Apdo. Postal 14-740, (Mexico) 07000 Distrito Federal
2. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apdo. Postal 70-543, (Mexico) 04510 Distrito Federal
3. Departamento de Fisica, Universidad Nacional de La Plata, c.c. 67 1900, La Plata (Argentina)

An exactly solvable model suitable for the description of single- and double-beta decay processes of the Fermi type is introduced. The model is equivalent to the exact shell-model treatment of protons and neutrons in a single-j shell. Exact eigenvalues and eigenvectors are compared to those corresponding to the Hamiltonian in the quasiparticle basis (qp) and with the results of both the standard quasiparticle random phase approximation (QRPA) and the renormalized one (RQRPA). The role of the scattering term of the quasiparticle Hamiltonian is analyzed. The presence of an exact eigenstate with zero energy is shown to be related to the collapse of the QRPA. The RQRPA and the qp solutions do not include this zero-energy eigenvalue in their spectra, probably due to spurious correlations. The meaning of this result in terms of symmetries is presented. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 587186
• Journal Information: Physical Review, C, Vol. 56, Issue 1; Other Information: PBD: Jul 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BETA DECAY
SHELL MODELS
DOUBLE BETA DECAY
EIGENVALUES
EIGENVECTORS
HAMILTONIANS
QUASI PARTICLES
RANDOM PHASE APPROXIMATION
CORRELATIONS