Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| author | Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. |
| author_facet | Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. |
| contents | We present the first ab initio lattice calculation of neutron-alpha ($n$-$α$) scattering using nuclear lattice effective field theory (NLEFT) with chiral interactions at next-to-next-to-next-to-leading order (N3LO). Building on the high-fidelity chiral Hamiltonian introduced in Ref. [1], we compute scattering phase shifts in the $S$- and $P$-wave channels using the Lüscher finite-volume method. Our results demonstrate excellent agreement with empirical $R$-matrix phase shifts in the $^2S_{1/2}$ and $^2P_{3/2}$ channels, while revealing persistent discrepancies in the $^2P_{1/2}$ channel for neutron energies above 5 MeV. To systematically investigate these discrepancies, we construct and analyze a simplified neutron-alpha toy model, demonstrating that these discrepancies are not due to the use of the Lüscher finite-volume method. Additionally, we revisit our three-nucleon (3N) force fitting procedure, explicitly incorporating neutron-alpha scattering data through comprehensive Markov Chain Monte Carlo (MCMC) sampling. This analysis confirms the stability of nuclear binding-energy predictions and highlights the need for further refinements in the lattice N3LO three-nucleon forces to fully describe neutron-alpha scattering in the challenging ${}^2P_{1/2}$ channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO Elhatisari, Serdar Hildenbrand, Fabian Meißner, Ulf-G. Nuclear Theory High Energy Physics - Lattice Nuclear Experiment We present the first ab initio lattice calculation of neutron-alpha ($n$-$α$) scattering using nuclear lattice effective field theory (NLEFT) with chiral interactions at next-to-next-to-next-to-leading order (N3LO). Building on the high-fidelity chiral Hamiltonian introduced in Ref. [1], we compute scattering phase shifts in the $S$- and $P$-wave channels using the Lüscher finite-volume method. Our results demonstrate excellent agreement with empirical $R$-matrix phase shifts in the $^2S_{1/2}$ and $^2P_{3/2}$ channels, while revealing persistent discrepancies in the $^2P_{1/2}$ channel for neutron energies above 5 MeV. To systematically investigate these discrepancies, we construct and analyze a simplified neutron-alpha toy model, demonstrating that these discrepancies are not due to the use of the Lüscher finite-volume method. Additionally, we revisit our three-nucleon (3N) force fitting procedure, explicitly incorporating neutron-alpha scattering data through comprehensive Markov Chain Monte Carlo (MCMC) sampling. This analysis confirms the stability of nuclear binding-energy predictions and highlights the need for further refinements in the lattice N3LO three-nucleon forces to fully describe neutron-alpha scattering in the challenging ${}^2P_{1/2}$ channel. |
| title | Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO |
| topic | Nuclear Theory High Energy Physics - Lattice Nuclear Experiment |
| url | https://arxiv.org/abs/2507.08495 |