Diquark properties from full QCD lattice simulations

TL;DR

This paper uses lattice QCD simulations to study diquark properties, confirming the existence of attractive 'good' diquark channels and providing quantitative data on their masses, sizes, and shapes, supporting diquark-based models of baryons.

Contribution

First lattice QCD study of diquark properties with near-physical quark masses, providing quantitative measurements of diquark masses, sizes, and shapes, and validating diquark models in baryon spectroscopy.

Findings

'Good' diquark channel shows attractive quark-quark interaction.

Diquark size estimated at approximately 0.6 fm.

'Good' diquark shape is spherical.

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 $m_\pi$. We determine mass differences between diquark channels as well as diquark-quark mass differences. The lightest and next-to-lightest diquarks have "good" scalar, $\bar{3}_F$, $\bar{3}_c$, $J^P=0^+$, and "bad" axial vector, $6_F$, $\bar{3}_c$, $J^P=1^+$, quantum numbers, and a bad-good mass difference for $ud$ flavors, $198(4)~\rm{MeV}$, in excellent agreement with phenomenological determinations. Quark-quark attraction is found only in the "good" diquark channel. We extract a corresponding diquark size of $\sim 0.6~\rm{fm}$ 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.