Static three quark potential in the quenched lattice QCD

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.