Using lattice QCD, the scalar diquark mass is found to be close to (2/3) of the nucleon mass, and the quark-diquark potential is of Cornell type with string tension agreeing to within 5% of the static quark-antiquark potential.
Spatial diquark correlations in a hadron
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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.
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Scalar diquark mass and quark--diquark potential from lattice QCD using the potential method with a static quark
Using lattice QCD, the scalar diquark mass is found to be close to (2/3) of the nucleon mass, and the quark-diquark potential is of Cornell type with string tension agreeing to within 5% of the static quark-antiquark potential.