Chiral three-nucleon forces for the new local position-space two-nucleon potential in $\textit{ab initio}$ many-body calculations

TL;DR

This paper develops local and hybrid chiral three-nucleon forces compatible with a new local two-nucleon potential, enabling accurate ab initio calculations of nuclear properties across a wide mass range.

Contribution

It introduces local and hybrid local-nonlocal chiral 3NFs for the Idaho potential, improving the description of nuclear energies and radii in ab initio calculations.

Findings

Successfully reproduce experimental energies and radii from helium to tin isotopes.

Constrain low-energy constants using ground-state energies of tritium and oxygen-16.

Demonstrate the effectiveness of local-nonlocal regulators in nuclear structure calculations.

Abstract

Three-nucleon force (3NF) plays an important role in understanding the structure of finite nuclei and the saturation properties of infinite nuclear matter. The chiral 3NF derived from the chiral effective field theory has been successful in $\textit{ab initio}$ studies of atomic nuclei. However, challenges remain, such as parameterizing low-energy constants and applying regulators. Most of established chiral nuclear forces have a nonlocal form in the momentum space. In this work, we construct local and hybrid local-nonlocal chiral 3NFs for the newly established Idaho local position-space two-nucleon potential, and calculate binding energies and radii of nuclei up to $^{132}$Sn. The two low-energy constants of 3NF are constrained by the ground-state energies of $^3$H and $^{16}$O, as suggested in a recent work. The chiral Hamiltonian obtained with the local-nonlocal regulator can simultaneously reproduce the experimental ground-state energies and charge radii of nuclei over a large range from $^4$He to $^{132}$Sn.