Examinations of the consistency of the quasiparticle random-phase approximation approach to double-β decay of 48Ca
Abstract
The nuclear matrix elements (NMEs) of the neutrinoless and two-neutrino double-β decays of 48Ca are calculated by the quasiparticle random-phase approximation (QRPA) with emphasis on the consistency examinations of this calculation method. The main new examination points are the consistency of two ways to treat the intermediate-state energies in the two-neutrino double-β NME and comparison with the experimental charge-exchange strength functions obtained from 48Ca(p,n) and 48Ti(n,p) reactions. No decisive problem preventing the QRPA approach is found. The obtained neutrinoless double-β NME adjusted by the ratio of the effective and bare axial-vector current couplings is lowest in those calculated by several groups and close to one of the QRPA values obtained by another group.
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