Muon capture rates: Evaluation within the quasiparticle random phase approximation

Abstract

The quasiparticle random phase approximation is used in evaluation of the total muon capture rates for final nuclei participating in double-β decay. Several variants of the method are used, depending on the size of the single-particle model space used, or treatment of the initial bound muon wave function. The resulting capture rates are all reasonably close to each other. In particular, the variant that appears to be most realistic results in rates that are in good agreement with the experimental values. There is no necessity for an empirical quenching of the axial current coupling constant g_A. Its standard value g_A = 1.27 seems to be adequate.

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