Statistical uncertainties of a chiral interaction at next-to-next-to leading order

TL;DR

This paper quantifies the statistical uncertainties in the low-energy constants of a chiral nucleon-nucleon interaction at NNLO and propagates these uncertainties to various nuclear observables.

Contribution

It provides a detailed analysis of the statistical uncertainties of LECs in chiral EFT at NNLO and their impact on nuclear scattering and bound state properties.

Findings

Quantified uncertainties of LECs in NNLO chiral EFT.

Propagated LEC uncertainties to scattering phase shifts and deuteron observables.

Identified the influence of LEC uncertainties on nuclear physics predictions.

Abstract

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In addition, we have propagated the impact of the uncertainties of the LECs to two-nucleon scattering phase shifts, effective range parameters, and deuteron observables.