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

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.

arXiv comment24 pages, 12 figures. Comments welcome

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Cited by in corpus (8)

• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Three-body forces and Efimov physics in nuclei and atoms
• Neutron matter from local chiral effective field theory interactions at large cutoffs
• Emulators for scarce and noisy data: application to auxiliary field diffusion Monte Carlo for the deuteron
• Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Conformal prediction for uncertainties in nucleon-nucleon scattering
• Constraining Hamiltonians from chiral effective field theory with neutron-star data