The triton lifetime from nuclear lattice effective field theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914986581819392 |
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| author | Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. |
| author_facet | Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_06670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The triton lifetime from nuclear lattice effective field theory Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment 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. |
| title | The triton lifetime from nuclear lattice effective field theory |
| topic | Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2408.06670 |