Lattice QCD and Three-Body Exotic Systems in the static limit

TL;DR

This paper uses lattice QCD to compute static potentials for quark-antiquark-gluon and 3-gluon systems, revealing how string configurations change with geometry, advancing understanding of exotic three-body systems in quantum chromodynamics.

Contribution

It provides the first lattice QCD calculations of static potentials for these three-body exotic systems, illustrating string formation and transition behaviors.

Findings

Adjoint string formation at small angles in hybrid mesons

Transition to two fundamental strings at large angles

Fundamental strings connect gluons in 3-gluon systems when far apart

Abstract

The static potentials for quark-antiquark-gluon and 3-gluon systems are computed with lattice QCD methods. For the quark-antiquark-gluon hybrid meson the static potential is obtained for different values of the angle between the quark-gluon and antiquark-gluon segments. The simulations support the formation of an adjoint string for small angles, while for large angles, the adjoint string is replaced by two fundamental strings connecting the gluon and the quarks. For the 3-gluon glueball, we discuss the corresponding Wilson loops and show that the gluons are connected by fundamental strings when the gluons are far apart.