0ββ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force
Abstract
We perform the calculation of nuclear matrix elements for the neutrinoless double beta decays under a Left-Right symmetric model mediated by light neutrino, and we adopt the spherical quasi-particle random-phase approximation (QRPA) approach with realistic force. For eight nuclei: 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te and 136Xe, related nuclear matrix elements are given. We analyze each term and the details of contributions of different parts are also given. For the q term, we find that the weak-magnetism components of the nucleon current contribute equally as other components such as axial-vector. We also discuss the influence of short-range correlations on these NMEs. It is found that R term are more sensitive to the short range correlation than other terms due to the large portion of the contribution from high exchange momenta.
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