Spatial diquark correlations in a hadron

TL;DR

This study uses lattice QCD to analyze gauge-invariant diquark correlations within heavy-light-light hadrons, revealing stronger correlations in scalar diquarks and examining how diquark size varies with pion mass.

Contribution

It introduces a gauge-invariant method to study diquark correlations in lattice QCD, accounting for boundary conditions and static quark effects, and compares results across different pion masses.

Findings

Scalar diquarks show stronger correlations than vector diquarks.

Diquark spatial size depends on pion mass.

Consistent diquark shape observed away from static quark.

Abstract

Using lattice QCD, a diquark can be studied in a gauge-invariant manner by binding it to a static quark in a heavy-light-light hadron. We compute the simultaneous two-quark density of a diquark, including corrections for periodic boundary conditions. We define a correlation function to isolate the intrinsic correlations of the diquark and reduce the effects caused by the presence of the static quark. Away from the immediate vicinity of the static quark, the diquark has a consistent shape, with much stronger correlations seen in the good (scalar) diquark than in the bad (vector) diquark. We present results for m_{\pi}=293 MeV in N_f=2+1 QCD as well as m_{\pi}=940 MeV in quenched QCD, and discuss the dependence of the spatial size on the pion mass.