标题： 左-右对称模型下中微子无衰变的核壳层模型研究 显示英文标题

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

摘要： 我们使用大规模核壳模型计算了中微子介导的无中微子双贝塔衰变的核矩阵元，涉及左-右对称模型下的四种核：$^{76}$Ge、$^{82}$Se、$^{130}$Te 和$^{136}$Xe。我们系统地分析了相关机制中各项的一般大小。对于$\eta$机制，我们发现弱磁性$R$项主导了衰变速率，而$p$波效应被抑制。 而对于$\lambda$机制，$\omega$和$q$项具有同等的重要性。对于后一项$q$，观察到了来自弱磁性 MM 部分的重要贡献。最后，我们给出了当前实验对新物理参数$m_{\beta\beta}$、$\lambda$和$\eta$的限制。 显示英文摘要

摘要： 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 $\eta$ mechanism, we find that the weak magnetism $R$ term dominates the decay rate while the $p$-wave effect is suppressed. While for the $\lambda$ mechanism, the $\omega$ 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 $m_{\beta\beta}$, $\lambda$ and $\eta$ from current experiments.