We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-$\beta$ decay of ${}^{48}\mathrm{Ca}$. Benchmarks with the no-core shell model in several light nuclei inform us about the accuracy of our approach. For ${}^{48}\mathrm{Ca}$ we find a relatively small matrix element. We also compute the nuclear matrix element for the two-neutrino double-$\beta$ decay of ${}^{48}\mathrm{Ca}$ with a quenching factor deduced from two-body currents in recent ab initio calculation of the Ikeda sum rule in ${}^{48}\mathrm{Ca}$ [Gysbers et al., Nat. Phys. 15, 428 (2019)].

中文翻译：

---

Ca48中无中性双β衰变的耦合簇计算

我们使用耦合簇理论和手性有效场理论的核相互作用来计算无中微子双核的核矩阵元素$\beta$ 的衰变 ${}^{48}钙$。无核壳模型在多个轻核中的基准告诉我们该方法的准确性。为了${}^{48}钙$我们发现一个相对较小的矩阵元素。我们还计算了两个中微子双核的核矩阵元素$\beta$ 的衰变 ${}^{48}钙$在最近的从头计算池田总和法则中，从两体电流推导出淬灭因子${}^{48}钙$[Gysbers等。，纳特。物理 15，428（2019）]。