Muon capture rates: Evaluation within the Quasiparticle Random Phase Approximation

Abstract

The Quasiparticle Random Phase Approximation (QRPA) is used in evaluation of the total muon capture ratesfor the final nuclei participating in double-beta 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 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.

13 pages, 10 figures

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Cited by in corpus (7)

• Ab initio calculation of muon capture on ${}^{24}$Mg
• Nuclear matrix elements for neutrinoless double beta decays and spin-dipole giant resonances
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Muon Capture on ${}^6$Li, ${}^{12}$C, and ${}^{16}$O from $AbInitio$ Nuclear Theory
• Double-beta decay of ${}^{150}$Nd to excited levels of ${}^{150}$Sm
• Investigation of the cause of the discrepancies between calculated running sums for nuclear matrix elements of two-neutrino double-$\beta$ decay
• Determination of the Muon Lifetime in ${}^{76}$Se with the MONUMENT experiment