Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice

TL;DR

This paper introduces a new lattice QCD method using imaginary-time NBS wave functions to extract hadron-hadron potentials without requiring ground state saturation, demonstrated on nucleon-nucleon interactions.

Contribution

The paper presents a novel approach utilizing imaginary-time NBS wave functions to determine hadron-hadron potentials efficiently on the lattice.

Findings

Successfully extracted nucleon-nucleon potential and phase shift.

Method works without ground state saturation for multi-baryon systems.

Demonstrated effectiveness in the 1S_0 channel.

Abstract

Imaginary-time Nambu-Bethe-Salpeter (NBS) wave function is introduced to extend our previous approach for hadron-hadron interactions on the lattice. Scattering states of hadrons with different energies encoded in the NBS wave-function are utilized to extract non-local hadron-hadron potential. "The ground state saturation", which is commonly used in lattice QCD but is hard to be achieved for multi-baryons, is not required. We demonstrate that the present method works efficiently for the nucleon-nucleon interaction (the potential and the phase shift) in the 1S_0 channel.