Nuclear shell model study of neutrinoless double-β decay within a left-right symmetric model

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We use the large-scale nuclear shell model to calculate the nuclear matrix elements for the neutrino-mediated neutrinoless double-β 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 part are observed. Finally, we give the constraints on the new physics parameters m_ββ, λ, and η from current experiments.