Gauge-invariant two- and three- density correlators

TL;DR

This paper measures gauge-invariant two- and three-quark density correlators in QCD to explore the internal structure and shape of various hadrons, including pions, rho mesons, nucleons, and delta baryons.

Contribution

It introduces the first comprehensive measurement of gauge-invariant three-quark correlators in both quenched and unquenched QCD, revealing detailed hadron structure insights.

Findings

Correlators provide information on hadron shape and multipole moments.

Differences observed between quenched and unquenched QCD results.

Results enhance understanding of hadron internal structure.

Abstract

Gauge-invariant spatial correlations between two and three quarks inside a hadron are measured within quenched and unquenched QCD. These correlators provide information on the shape and multipole moments of the pion, the rho, the nucleon and the $\Delta$.