Abstract

Abstract The half-lives for two-neutrino double-beta decay transitions to the excited 2 1 + and 0 1 + states for several nuclei are calculated in the framework of a second quasi-random-phase approximation (QRPA). In addition, other single-beta and B (E2) transitions are evaluated and compared with experimental data. We find satisfactory agreement with data when we tried to describe unitarily, with the same set of parameters, all the computed physical quantities. The sum rule, which is fulfilled accurately in the framework of the proton-neutron QRPA, is violated insignificantly by our method. The higher-order QRPA terms only influence the β + strengths which enter the double-beta decay rate formula, shifting them to higher QRPA energies.

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