Nuclear shell model study of neutrinoless double beta decay under Left-Right symmetric model

Abstract

We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: ${}^{76}$Ge, ${}^{82}$Se, ${}^{130}$Te and ${}^{136}$Xe. We perform a systematic analysis on the general magnitude of different terms for related mechanisms. For the $\hat{I}\cdot$ mechanism, we find that the weak magnetism $R$ term dominates the decay rate while the $p$-wave effect is suppressed. While for the $\hat{I}»$ mechanism, the $\ddot{I}‰$ and the $q$ terms are with equal importance. For the latter $q$ term, important contributions from weak-magnetism MM part are observed. Finally, we give the constraints on the new physics parameters $m_{{\hat{I}}^2{\hat{I}}^2}$, $\hat{I}»$ and $\hat{I}\cdot$ from current experiments.

10 pages, 2 figures