Static three quark potential in the quenched lattice QCD

TL;DR

This paper investigates the static three quark potential in lattice QCD at zero and finite temperatures, comparing different models and observing screening effects in the deconfined phase.

Contribution

It provides a detailed lattice QCD analysis of the three quark potential, comparing Y and Δ type linear terms and exploring temperature effects on the potential.

Findings

String tension in Y-type potential matches quark-antiquark string tension.

In the deconfined phase, the potential shows screening similar to quark-antiquark systems.

Abstract

We study the static three quark potential using lattice QCD simulation. At zero temperature, the three quark potential is extracted from the baryonic Wilson loop and fitted to the phenomenological form, the sum of the Coulomb term, linearly rising term and the constant. We compare two types of the linear term, ``$Y$'' and ``$\Delta$'' type, and find that the string tension almost coincide with $\sigma_{Q\bar{Q}}$ in the former case. We also investigate the three quark potential at finite temperature using the Polyakov loop correlation. In the deconfined phase, the screened potential is observed similarly to the case of $Q\bar{Q}$ system.