Short Distance Repulsion Among Baryons

TL;DR

This paper reviews recent theoretical and numerical studies on the short-distance interactions among baryons, focusing on potential behaviors derived from the Nambu-Bethe-Salpeter wave function and QCD analysis.

Contribution

It combines operator product expansion and renormalization group analysis to analytically understand baryon potentials at short distances, validated by lattice QCD results.

Findings

Short distance baryon potentials exhibit repulsive behavior.

Analytic methods align with lattice QCD simulations.

QCD perturbation theory explains short-range baryon interactions.

Abstract

We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu-Bethe-Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the short distance behavior of the NBS wave functions and the corresponding potentials by combining the operator product expansion and a renormalization group analysis in the perturbation theory of QCD. These analytic results are compared with numerical results obtained in lattice QCD simulations.