Toward an understanding of short distance repulsions among baryons in QCD -- NBS wave functions and operator product expansion --

TL;DR

This paper investigates the short-distance repulsive forces among baryons in QCD by analyzing NBS wave functions using operator product expansion and renormalization group techniques, revealing a pattern related to quark content.

Contribution

It introduces a method to study baryon interactions at short distances in QCD using NBS wave functions and OPE, highlighting the influence of quark number and flavor composition.

Findings

Short distance repulsion increases with more valence quarks.

Fewer flavors involved lead to stronger repulsion.

Results suggest a Pauli suppression principle among quark fields.

Abstract

We report on our recent attempts to determine the short distance behaviors of general 2-baryon and 3-baryon forces, which are defined from the Nambu-Bethe-Salpeter(NBS) wave function, by using the operator product expansion and a renormalization group analysis in QCD. We have found that the repulsion at short distance increases as the number of valence quarks increases or when the number of different flavors involved decreases. This global tendency suggests a Pauli suppression principle among quark fields at work.