The gluonic excitation of the three-quark system in SU(3) lattice QCD

TL;DR

This study investigates gluonic excitations in a three-quark system using SU(3) lattice QCD, revealing a large excitation energy around 1 GeV that supports the effectiveness of the simple quark model.

Contribution

First lattice QCD calculation of gluonic excitation energies in the three-quark system at the quenched level.

Findings

Gluonic excitation energy is approximately 1 GeV.

Supports the quark model's success without explicit gluonic modes.

Provides flux-tube vibrational energy insights.

Abstract

We present the first study of the gluonic excitation in the three-quark (3Q) system in SU(3) lattice QCD with $\beta$=5.8 and $16^3 \times 32 $ at the quenched level. For the spatially-fixed 3Q system, we measure the gluonic excited-state potential, which corresponds to the flux-tube vibrational energy in the flux-tube picture. The lowest gluonic-excitation energy in the 3Q system is found to be about 1GeV in the hadronic scale. This large gluonic-excitation energy is expected to bring about the success of the simple quark model without gluonic modes.