Interactions of confining strings in SU(3) gluodynamics

TL;DR

This paper investigates the interaction energies of confining strings in a static tetraquark system within SU(3) gluodynamics, employing a two-state approximation and a soap-film model to describe the ground state interactions.

Contribution

It introduces a two-state approximation for calculating string interaction energies and demonstrates the effectiveness of a soap-film model in describing the ground state in tetraquark systems.

Findings

The soap-film model accurately describes the ground state interaction energy.

Interaction energies depend on the geometry and alignment of the strings.

The study provides insights into string interactions in SU(3) gluodynamics.

Abstract

We study the interaction energy of the confining strings in the static rectangular tetraquark system in SU(3) gluodynamics. Using a two-state approximation we calculate the energy eigenvalues and corresponding eigenvectors of string states of different geometry. The interactions are studied both for the co-aligned and for the counter-aligned parallel strings as the functions of positions of the tetraquark constituents. We formulate a simple soap-film model and show that with a good accuracy the string interaction energy corresponding to the ground state of the tetraquark system can be described by this soap-film model.