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.

24 pages, 12 figures. Comments welcome

References in corpus (12)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraining Neutron-Star Matter with Microscopic and Macroscopic Collisions
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• A Detailed Examination of Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory

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