Light-front wave functions of mesons, baryons and pentaquarks, with topology-induced local 4-quark interaction

TL;DR

This paper computes light-front wave functions for mesons, baryons, and pentaquarks using a model with chiral symmetry breaking, confinement, and 't Hooft interaction, revealing diquark correlations and sea quark effects.

Contribution

It introduces a numerical method to calculate wave functions in a simplified model including key QCD features, highlighting diquark correlations and sea quark contributions.

Findings

Nucleon wave function shows strong diquark correlations.

Calculated 3-quark-5-quark admixture impacts antiquark sea PDF.

Method demonstrates effective numerical diagonalization for hadron wave functions.

Abstract

We calculate light-front wave functions of mesons, baryons and pentaquarks in a model including constituent mass (representing chiral symmetry breaking), harmonic confining potential, and 4-quark local interaction of 't Hooft type. The model is a simplified version of that used by Jia and Vary. The method used is numerical diagonalization of the Hamiltonian matrix, with certain functional basis. We found that the nucleon wave function displays strong diquar correlations, unlike that for Delta (decuplet) baryon. We also calculate 3-quark-5-quark admixture to baryons, and the resulting antiquark sea PDF.