Average matrix elements of ordinary muon capture (OMC) to the intermediate nuclei of neutrinoless double beta ($0\nu \beta \beta$) decays of current experimental interest are computed and compared with the corresponding energy and multipole decompositions of $0\nu \beta \beta$-decay nuclear matrix elements (NMEs). The present OMC computations are performed using the Morita-Fujii formalism by extending the original formalism beyond the leading order. The $0\nu \beta \beta$ NMEs include the appropriate short-range correlations, nuclear form factors, and higher-order nucleonic weak currents. The nuclear wave functions are obtained in extended no-core single-particle model spaces using the spherical version of the proton-neutron quasiparticle random-phase approximation (pnQRPA) with two-nucleon interactions based on the Bonn one-boson-exchange G matrix. Both the OMC and $0\nu \beta \beta$ processes involve 100-MeV-range momentum exchanges and hence similarities could be expected for both processes in the feeding of the $0\nu \beta \beta$ intermediate states. These similarities may help improve the accuracy of the $0\nu \beta \beta$ NME calculations by using the data from the currently planned OMC experiments.

中文翻译：

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介子捕获率与0νββ衰变矩阵元素的比较分析

普通介子俘获（OMC）到中微子双β（$0\nu \beta \beta$计算当前实验兴趣的衰减并将其与相应的能量和多极分解进行比较 $0\nu \beta \beta$衰变核基质元素（NME）。通过将原始形式主义扩展到领先顺序之外，使用Morita-Fujii形式主义来执行当前的OMC计算。的$0\nu \beta \beta$NME包括适当的短程相关性，核形状因子和高阶核子弱电流。使用基于波恩一玻色子交换G矩阵的具有两个核子相互作用的质子-中子准粒子随机相位近似（pnQRPA）的球形形式，在扩展的无核单粒子模型空间中获得核波函数。OMC和$0\nu \beta \beta$ 过程涉及100-MeV范围的动量交换，因此可以预期两种过程在供给过程中都具有相似性。 $0\nu \beta \beta$中间状态。这些相似之处可能有助于提高$0\nu \beta \beta$ 通过使用来自当前计划的OMC实验的数据进行NME计算。