Diquark properties from full QCD lattice simulations

Abstract

Abstract We study diquarks on the lattice in the background of a static quark, in a gauge-invariant formalism with quark masses down to almost physical m π . We determine mass differences between diquark channels as well as diquark-quark mass differences. The lightest and next-to-lightest diquarks have “good” scalar, 3 ¯ F $$ {\overline{3}}_F $$ , 3 ¯ c $$ {\overline{3}}_c $$ , J P = 0+, and “bad” axial vector, 6 F , 3 ¯ c $$ {\overline{3}}_c $$ , J P = 1+, quantum numbers, and a bad-good mass difference for ud flavors, 198(4) MeV, in excellent agreement with phenomenological determinations. Quark-quark attraction is found only in the “good” diquark channel. We extract a corresponding diquark size of ∼ 0.6 fm and perform a first exploration of the “good” diquark shape, which is shown to be spherical. Our results provide quantitative support for modeling the low-lying baryon spectrum using good light diquark effective degrees of freedom.

Keywords

• Hadronic Spectroscopy
• Structure and Interactions
• Lattice QCD
• Properties of Hadrons
• Specific QCD Phenomenology