Abstract
We calculate diquark correlation functions in the Landau gauge on the lattice using overlap valence quarks and 2+1-flavor domain wall fermion configurations. Quark masses are extracted from the scalar part of quark propagators in the Landau gauge. The scalar diquark quark mass difference and axial vector scalar diquark mass difference are obtained for diquarks composed of two light quarks and of a strange and a light quark. The light sea quark mass dependence of the results is examined. Two lattice spacings are used to check the discretization effects. The coarse and fine lattices are of sizes 243 × 64 and 323 × 64 with inverse spacings 1/a = 1.75(4) GeV and 2.33(5) GeV, respectively.
Highlights
Diquarks were introduced a long time ago and are used in many phenomenology studies of strong interactions
In this work we study diquarks starting from the Quantum Chromodynamics (QCD) action by using lattice QCD simulations
The scalar and bad diquark mass difference from all three ensembles are plotted in Fig. 9 as a function of the squared mass of the pion composed of light quark q1
Summary
Diquarks were introduced a long time ago and are used in many phenomenology studies of strong interactions. Diquarks are used to describe baryons with a quark-diquark picture for explaining the missing states [1]. Diquark correlations are induced by spin dependent interactions They become weaker as the masses of the quarks increase. We can look into the mass dependence of diquark correlations by varying the current quark masses on the lattice. In general they agree with the estimations in Ref. The exception is the scalar diquark and strange quark mass difference for diquarks composed of a strange and a light quark. Our result for this difference is smaller than the estimation in Ref.
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