Nucleon-nucleon interaction in the [formula omitted]-[formula omitted] coupled channel for a pion mass of 469 MeV

Abstract

In this work, we apply the relativistic chiral nuclear force to describe the state-of-the-art lattice simulations of the nucleon-nucleon scattering amplitude. In particular, we focus on the S13-D13 coupled channel for a pion mass of 469 MeV. We show that at leading order the relativistic chiral nuclear force can only describe δ3S1 and ε1 up to Tlab.≈10 MeV, while at the next-to-leading order it can do much better up to Tlab=200 MeV. However, at the next-to-next-to-leading order, the description deteriorates, which can be attributed to the fact that the pion-mass dependence of the pion-nucleon couplings c1,2,3,4 may not be negligible. Furthermore, all the studies consistently yield negative δ3D1, contrary to the lattice QCD results which are positive but consistent with zero. The present study is relevant to a better understanding of the lattice QCD nucleon-nucleon force and more general baryon-baryon interactions.