The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO

TL;DR

This paper employs a three-dimensional approach to calculate nucleon-nucleon bound and scattering states using a chiral potential up to N3LO, demonstrating comparable accuracy to traditional methods and agreement with experimental data.

Contribution

It introduces a 3D calculation method for NN states with chiral potentials up to N3LO, offering an alternative to partial wave analysis with similar accuracy.

Findings

3D approach yields results comparable to partial wave methods.

Calculated deuteron binding energy aligns with experimental data.

np differential cross sections match observed values.

Abstract

The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N$^3$LO) is used to calculated the np differential cross section and deuteron binding energy in a realistic three dimensional approach. The obtained results based on this helicity representation are compared to the standard partial wave (PW) results. This comparison shows that the 3D approach provides the same accuracy in the description of $NN$ observables and the results are in close agreement with available experimental data.