In this work, we present a calculation of the triton β-decay lifetime using Nuclear Lattice Effective Field Theory (NLEFT) at next-to-next-to-next-to-leading order in the chiral expansion. By incorporating a non-perturbative treatment of the higher-order corrections, we achieve consistent predictions for the Fermi and Gamow-Teller matrix elements, which are crucial for determining the triton lifetime. Our results are consistent with earlier theoretical calculations, confirming the robustness of our approach. This study marks a significant advancement in the systematic application of NLEFT to nuclear β-decay processes, paving the way for future high-precision calculations in more complex nuclear systems. Additionally, we discuss potential improvements to our approach, including the explicit inclusion of two-pion exchange mechanisms and the refinement of three-nucleon forces. These developments are essential for extending the applicability of NLEFT to a broader range of nuclear phenomena, including neutrinoless double-β decay.

中文翻译：

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核晶格有效场论的海卫子寿命


在这项工作中，我们提出了使用核晶格有效场论 （NLEFT） 在手性膨胀中以下一个到下一个到下一个前导顺序计算的 triton β衰变寿命。通过对高阶校正进行非扰动处理，我们实现了对 Fermi 和 Gamow-Teller 矩阵元素的一致预测，这对于确定 Triton 寿命至关重要。我们的结果与早期的理论计算一致，证实了我们方法的稳健性。这项研究标志着 NLEFT 在核β衰变过程中的系统应用取得了重大进展，为未来在更复杂的核系统中进行高精度计算铺平了道路。此外，我们还讨论了对我们方法的潜在改进，包括明确包含双 π 交换机制和改进三核子力。这些发展对于将 NLEFT 的适用性扩展到更广泛的核现象至关重要，包括无中微子双β衰变。