Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory

TL;DR

This paper develops local position-space two-nucleon potentials using chiral effective field theory up to fourth order, providing a systematic and accurate foundation for nuclear structure calculations with quantified uncertainties.

Contribution

It introduces a new family of local chiral NN potentials up to N3LO with a weaker tensor force and compares favorably with phenomenological potentials, enabling more reliable ab initio nuclear studies.

Findings

Reproduces NN scattering data with chi^2/datum of 1.45 at N3LO.

Shows substantial agreement with Argonne v_18 potential in intermediate range.

Predicts deuteron D-state probability ≤ 4.0% and triton binding energy > 8.00 MeV.

Abstract

We present local, position-space chiral NN potentials through four orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-leading order (N3LO, fourth order) of the Delta-less version of the theory. The long-range parts of these potentials are fixed by the very accurate pi-N LECs as determined in the Roy-Steiner equations analysis. At the highest order (N3LO), the NN data below 190 MeV laboratory energy are reproduced with the respectable chi^2/datum of 1.45. A comparison of the N3LO potential with the phenomenological Argonne v_18 (AV18) potential reveals substantial agreement between the two potentials in the intermediate range ruled by chiral symmetry, thus, providing a chiral underpinning for the phenomenological AV18 potential. Our chiral NN potentials may serve as a solid basis for systematic ab initio calculations of nuclear structure and reactions that allow for a comprehensive error analysis. In particular, the order by order development of the potentials will make possible a reliable determination of the truncation error at each order. Our new family of local position-space potentials differs from existing potentials of this kind by a weaker tensor force as reflected in relatively low D-state probabilities of the deuteron (P_D less or equal 4.0% for our N3LO potentials) and predictions for the triton binding energy above 8.00 MeV (from two-body forces alone). As a consequence, our potentials may lead to different predictions when applied to light and intermediate-mass nuclei in ab initio calculations and, potentially, help solve some of the outstanding problems in microscopic nuclear structure.