An accurate relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading order

TL;DR

This paper develops a relativistic chiral nucleon-nucleon interaction up to NNLO, demonstrating it can accurately reproduce phase shifts and inelasticities comparable to nonrelativistic N$^3$LO models up to 200 MeV, suitable for nuclear physics applications.

Contribution

It introduces a relativistic chiral nuclear force at NNLO that matches nonrelativistic N$^3$LO accuracy in describing nucleon interactions.

Findings

Relativistic chiral force describes phase shifts up to 200 MeV.

Matches N$^3$LO nonrelativistic phase shifts and inelasticities.

Suitable for relativistic nuclear structure and astrophysics studies.

Abstract

We report on the construction of an accurate relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading (NNLO) order. We compare the so-obtained neutron-proton phaseshifts with the next-to-next-to-next-to-leading order (N$^3$LO) nonrelativistic ones and we show that up to $T_\mathrm{lab.}=200$ MeV, the relativistic chiral nuclear force can describe the PWA93 phaseshifts and inelasticities as well as its N$^3$LO nonrelativistic counterparts. As a result, the relativistic chiral nuclear force can be readily used for relativistic ab initio nuclear structure, reaction, as well astrophysical studies.