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Maximally local two-nucleon interactions at N$^3$LO in $\Delta$-less chiral effective field theory

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arxiv 2306.13579 v3 pith:5FBW7TD3 submitted 2023-06-23 nucl-th

Rahul Somasundaram , Joel E. Lynn , Lukas Huth , Achim Schwenk , Ingo Tews This is my paper · ORCID
classification nucl-th
keywords interactionsfieldlocalcarlochiraldeltaeffectiveless
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abstract

We present new maximally local two-nucleon interactions derived in $\Delta$-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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraining Hamiltonians from chiral effective field theory with neutron-star data

    nucl-th 2026-01 conditional novelty 6.0 of 10

    Neutron-star data, run through fast emulators, directly constrain the six two-nucleon low-energy constants of an N2LO chiral Hamiltonian, with future detectors able to strongly pin down the 3P1 channel.

  2. Quantum Monte Carlo calculation of $\delta_{\rm NS}$ in $^{10}$C using an effective field theory approach

    nucl-th 2025-09 conditional novelty 6.0 of 10

    The first quantum Monte Carlo evaluation of the nuclear-structure-dependent radiative correction in carbon-10 confirms the NCSM dispersion result, with the residual uncertainty set by two undetermined low-energy constants.

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