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arXiv · 2408.06670

The triton lifetime from nuclear lattice effective field theory

Serdar Elhatisari·Fabian Hildenbrand·Ulf-G. Meißner
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Abstract

In this work, we present a calculation of the triton $\beta$-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 $\beta$-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-$\beta$ decay.

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Serdar Elhatisari, Fabian Hildenbrand, Ulf-G. Meißner. 2024-08-13. The triton lifetime from nuclear lattice effective field theory. https://doi.org/10.1016/j.physletb.2024.139086

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