Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations

TL;DR

This paper develops a method to extract nucleon-nucleon potentials from lattice QCD simulations, specifically focusing on central and tensor forces, and analyzes their structure and quark mass dependence.

Contribution

It introduces a novel approach to derive NN potentials from lattice QCD and applies it to quenched simulations to disentangle central and tensor components.

Findings

Successfully extracted central and tensor NN potentials.

Analyzed the spatial structure of the potentials.

Studied the quark mass dependence of the potentials.

Abstract

We present full accounts of a method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applied to two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the S-state and the D-state, we obtain central and tensor potentials in the leading order of the velocity expansion of the non-local NN potential. The spatial structure and the quark mass dependence of the potentials are analyzed in detail.