Isoscalar pairing interaction for the quasiparticle random-phase approximation approach to double-β and β 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-β 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-β decays of 136Xe and 130Te 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-β decay, and this test ensures the application of our method to 136Xe. It turns out, however, that our method is not successful in 130Te. Further test is made for our calculation of the β decay of 138Xe, and a satisfactory result is obtained.
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