Investigating nuclear beta decay using lattice quantum Monte Carlo approach
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917181639360512 |
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| author | Wang, Teng Feng, Xu Lu, Bing-Nan |
| author_facet | Wang, Teng Feng, Xu Lu, Bing-Nan |
| contents | We present an \textit{ab initio} calculation of nuclear $β$ decay within the framework of nuclear lattice effective field theory (NLEFT), employing auxiliary-field quantum Monte Carlo methods to solve the nuclear many-body problem. Our approach combines next-to-next-to-leading order two- and three-body chiral interactions with one- and two-body axial current operators, all consistently derived in chiral effective field theory. Low-energy constants are determined exclusively from nucleon-nucleon scattering phase shifts and few-body observables for systems with $A \leq 3$. Using these interactions and transition operators, we perform two-channel Monte Carlo simulations to compute the $β$-decay matrix element for $^6$He, obtaining results in reasonable agreement with experimental measurements. To address the Monte Carlo sign problem, we implement a perturbative expansion around a leading-order Hamiltonian with approximate Wigner-SU(4) symmetry. This systematic approach provides a foundation for extending NLEFT simulations to precision studies of weak processes in medium-mass nuclei. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Investigating nuclear beta decay using lattice quantum Monte Carlo approach Wang, Teng Feng, Xu Lu, Bing-Nan Nuclear Theory High Energy Physics - Lattice We present an \textit{ab initio} calculation of nuclear $β$ decay within the framework of nuclear lattice effective field theory (NLEFT), employing auxiliary-field quantum Monte Carlo methods to solve the nuclear many-body problem. Our approach combines next-to-next-to-leading order two- and three-body chiral interactions with one- and two-body axial current operators, all consistently derived in chiral effective field theory. Low-energy constants are determined exclusively from nucleon-nucleon scattering phase shifts and few-body observables for systems with $A \leq 3$. Using these interactions and transition operators, we perform two-channel Monte Carlo simulations to compute the $β$-decay matrix element for $^6$He, obtaining results in reasonable agreement with experimental measurements. To address the Monte Carlo sign problem, we implement a perturbative expansion around a leading-order Hamiltonian with approximate Wigner-SU(4) symmetry. This systematic approach provides a foundation for extending NLEFT simulations to precision studies of weak processes in medium-mass nuclei. |
| title | Investigating nuclear beta decay using lattice quantum Monte Carlo approach |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2503.23840 |