English

$0\nu\beta\beta$ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force

Nuclear Theory 2025-06-17 v1

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: 76^{76}Ge, 82^{82}Se, 96^{96}Zr, 100^{100}Mo, 116^{116}Cd, 128^{128}Te, 130^{130}Te and 136^{136}Xe, related nuclear matrix elements are given. We analyze each term and the details of contributions of different parts are also given. For the qq 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 RR term are more sensitive to the short range correlation than other terms due to the large portion of the contribution from high exchange momenta.

Keywords

Cite

@article{arxiv.2506.13289,
  title  = {$0\nu\beta\beta$ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force},
  author = {Ri-Guang Huang and You-Cai Chen and Dong-Liang Fang},
  journal= {arXiv preprint arXiv:2506.13289},
  year   = {2025}
}

Comments

10 pages, 1 figure