Isoscalar pairing interaction for the quasiparticle random-phase approximation approach to double-$\beta$ and $\beta$ decays

Abstract

We have proposed in a series of previous papers a method to determine the effective axial-vector current coupling and the strength of the isoscalar proton-neutron pairing interaction for calculating the nuclear matrix elements of the neutrinoless double-$\beta$ decay by the quasiparticle random-phase approximation. The combination of these two parameters have had an uncertainty in this approach, but now this uncertainty is removed. In this paper, we apply our method to the neutrinoless double-$\beta$ decays of ${}^{136}$Xe and ${}^{130}$Te and predict the nuclear matrix elements and reduced half-lives. Our calculation is tested first by a self-check method using the two-neutrino double-$\beta$ decay, and this test ensures the application of our method to ${}^{136}$Xe. It turns out, however, that our method is not successful in ${}^{130}$Te. Further test is made for our calculation of the $\beta$ decay of ${}^{138}$Xe, and a satisfactory result is obtained.

13 pages, 15 figures

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Cited by in corpus (10)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• Ab initio calculation of the contact operator contribution in the standard mechanism for neutrinoless double beta decay
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Ab initio benchmarks of neutrinoless double beta decay in light nuclei with a chiral Hamiltonian
• Physical features of strength of isoscalar pairing interaction determined by relation between double charge change and double pair transfer
• Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
• Effects of perturbation for transition operator of double-$\beta$ decay on nuclear matrix element, effective axial-vector current coupling, and half-life
• Investigation of the cause of the discrepancies between calculated running sums for nuclear matrix elements of two-neutrino double-$\beta$ decay