The Static Penta-quark Potential in Lattice QCD

TL;DR

This study calculates the static penta-quark potential in lattice QCD, revealing that multi-quark potentials can be described by a combination of Coulomb and flux-tube linear confinement terms.

Contribution

First lattice QCD calculation of the static penta-quark potential using the smearing method to extract accurate results.

Findings

Multi-quark potentials fit a Coulomb plus linear confinement model.

The 5Q potential is consistent with flux-tube picture predictions.

Results support the flux-tube model for multi-quark systems.

Abstract

We perform the first study for the static penta-quark (5Q) potential in lattice QCD with $\beta$=6.0 and $16^3 \times 32$ at the quenched level. Accurate results of the 5Q potential are extracted from the 5Q Wilson loop using the smearing method, which enhances the ground-state component. The tetra-quark potential for the $\rm QQ$-$\rm {\bar Q}{\bar Q}$ system is also studied in lattice QCD. The multi-quark potentials are found to be well described as a sum of the one-gluon-exchange Coulomb term and the multi-Y linear confinement term based on the flux-tube picture.