Diquark correlations in a hadron from lattice QCD

Abstract

Using lattice QCD, a diquark can be studied in a gauge-invariant manner by binding it to a static quark in a heavylight-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 (axial-vector) diquark. We present results for mπ = 293 MeV as well as mπ = 940 MeV, and discuss the behavior as the pion mass changes.