Maximally local two-nucleon interactions at N$^3$LO in $Δ$-less chiral effective field theory
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913312595247104 |
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| author | Somasundaram, Rahul Lynn, Joel E. Huth, Lukas Schwenk, Achim Tews, Ingo |
| author_facet | Somasundaram, Rahul Lynn, Joel E. Huth, Lukas Schwenk, Achim Tews, Ingo |
| contents | We present new maximally local two-nucleon interactions derived in $Δ$-less chiral effective field theory up to next-to-next-to-next-to-leading order (N$^3$LO), which include all contact and pion-exchange contributions to the nuclear Hamiltonian up to this order. Our interactions are fit to nucleon-nucleon phase shifts using a Bayesian statistical approach, and explore a wide cutoff range from $0.6-0.9$ fm ($\approx 660 - 440$ MeV). These interactions can be straightforwardly employed in quantum Monte Carlo methods, such as the auxiliary field diffusion Monte Carlo method. Together with local three-nucleon forces, calculations with these new interactions will provide improved benchmarks for the structure of atomic nuclei and serve as crucial input to analyses of astrophysical phenomena of neutron stars, such as binary neutron-star mergers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13579 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximally local two-nucleon interactions at N$^3$LO in $Δ$-less chiral effective field theory Somasundaram, Rahul Lynn, Joel E. Huth, Lukas Schwenk, Achim Tews, Ingo Nuclear Theory We present new maximally local two-nucleon interactions derived in $Δ$-less chiral effective field theory up to next-to-next-to-next-to-leading order (N$^3$LO), which include all contact and pion-exchange contributions to the nuclear Hamiltonian up to this order. Our interactions are fit to nucleon-nucleon phase shifts using a Bayesian statistical approach, and explore a wide cutoff range from $0.6-0.9$ fm ($\approx 660 - 440$ MeV). These interactions can be straightforwardly employed in quantum Monte Carlo methods, such as the auxiliary field diffusion Monte Carlo method. Together with local three-nucleon forces, calculations with these new interactions will provide improved benchmarks for the structure of atomic nuclei and serve as crucial input to analyses of astrophysical phenomena of neutron stars, such as binary neutron-star mergers. |
| title | Maximally local two-nucleon interactions at N$^3$LO in $Δ$-less chiral effective field theory |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2306.13579 |