Meson spectrum and tetraquarks through an AdS/QCD inspired potential

TL;DR

This paper uses an AdS/QCD inspired potential combined with the Salpeter equation to model meson spectra and explore tetraquark states, fitting parameters to experimental data and discussing the X(3872) tetraquark candidate.

Contribution

It introduces a novel approach combining AdS/QCD potential with relativistic bound state equations to analyze mesons and tetraquarks, including the X(3872).

Findings

Successfully fits meson spectra to experimental data.

Provides mass estimates for heavy tetraquarks.

Discusses the diquark-antidiquark structure hypothesis for X(3872).

Abstract

AdS/QCD correspondence allows to compute the quark-antiquark potential in the static limit. We use this piece of information together with the Salpeter equation (Schroedinger equation with relativistic kinematics) and a short range hyperfine splitting potential to describe the bound states of quark-antiquark. Comparison with experiment permits to fit the parameters of the model, namely the quark masses and the quark potential parameters. A discussion of heavy tetraquark masses, prompted by the hypothesis of a diquark-antidiquark structure for the puzzling state X(3872), is also presented.