Holographic model for heavy vector meson masses

TL;DR

This paper presents a holographic model that accurately reproduces the spectra of heavy vector mesons, capturing the dependence on quark mass and binding energy with minimal error.

Contribution

It introduces a holographic approach that models heavy meson spectra by incorporating two energy scales, one for quark mass and one for binding energy, aligning with experimental data.

Findings

Reproduces charmonium and bottomonium spectra with 6.1% rms error.

Shows large energy scale is flavor dependent, small scale is universal.

Accurately models radial excitations of heavy mesons.

Abstract

The experimentally observed spectra of heavy vector meson radial excitations show a dependence on two different energy parameters. One is associated with the quark mass and the other with the binding energy levels of the quark anti-quark pair. The first is present in the large mass of the first state while the other corresponds to the small mass splittings between radial excitations. In this article we show how to reproduce such a behavior with reasonable precision using a holographic model. In the dual picture, the large energy scale shows up from a bulk mass and the small scale comes from the position of anti-de Sitter (AdS) space where field correlators are calculated. The model determines the masses of four observed S-wave states of charmonium and six S-wave states of bottomonium with , 6.1 % rms error. In consistency with the physical picture, the large energy parameter is flavor dependent, while the small parameter, associated with quark anti-quark interaction is the same for charmonium and bottomonium states.