Light nuclei with semilocal momentum-space regularized chiral interactions up to third order

TL;DR

This paper systematically investigates light nuclei using semilocal momentum-space regularized chiral interactions up to third order, providing predictions for nuclear properties and analyzing uncertainties, with results generally aligning with experimental data.

Contribution

It introduces a comprehensive study of light nuclei with semilocal momentum-space regularized chiral interactions up to N$^2$LO, including error analysis and comparison with experimental data.

Findings

Predictions agree with experimental data within errors.

Systematic overbinding observed for nuclei with A~10 and heavier.

Error analysis includes estimation of truncation uncertainties.

Abstract

We present a systematic investigation of few-nucleon systems and light nuclei using the current LENPIC interactions comprising semilocal momentum-space regularized two- and three-nucleon forces up to third chiral order (N$^2$LO). Following our earlier study utilizing the coordinate-space regularized interactions, the two low-energy constants entering the three-body force are determined from the triton binding energy and the differential cross section minimum in elastic nucleon-deuteron scattering. Predictions are made for selected observables in elastic nucleon-deuteron scattering and in the deuteron breakup reactions, for properties of the $A=3$ and $A=4$ nuclei, and for spectra of $p$-shell nuclei up to $A = 16$. A comprehensive error analysis is performed including an estimation of correlated truncation uncertainties for nuclear spectra. The obtained predictions are generally found to agree with experimental data within errors. Similar to the coordinate-space regularized chiral interactions at the same order, a systematic overbinding of heavier nuclei is observed, which sets in for $A \sim 10$ and increases with $A$.