The quark masses and meson spectrum: A holographic approach

TL;DR

This paper uses a holographic model to analyze the spectrum of vector mesons, revealing how their radial excitation patterns depend on quark mass and aligning well with experimental data and dual amplitude predictions.

Contribution

It introduces a holographic approach to determine the quark-mass dependence of meson radial spectra, matching experimental observations and theoretical predictions.

Findings

Radial meson spectra follow an approximately Regge form.

The functions A and B depend on quark mass and match phenomenology.

Results are consistent with Veneziano-like dual amplitudes.

Abstract

The spectrum of radially excited unflavored vector mesons is relatively well measured, especially in the heavy-quark sector. This provides a unique opportunity to observe the behavior of the hadron spectrum at fixed quantum numbers as a function of the quark mass. The experimental data suggests the approximately Regge form for the radial spectrum, M_n^2=An+B, where A and B are growing functions of the quark mass. We use the bottom-up holographic approach to find the functions A and B. The obtained result shows a good agreement with the phenomenology and consistency with some predictions of the Veneziano-like dual amplitudes.