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

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: ⁷⁶Ge, ⁸²Se, ¹³⁰Te and ¹³⁶Xe. We perform a systematic analysis on the general magnitude of different terms for related mechanisms. For the η mechanism, we find that the weak magnetism R term dominates the decay rate while the p-wave effect is suppressed. While for the λ mechanism, the ω 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 mββ, λ and η from current experiments.