Non linear Regge trajectories of quarkonia from holography

TL;DR

This paper introduces a holographic model for quarkonia that accurately reproduces nonlinear Regge trajectories and fits experimental mass data, also providing reasonable decay constant predictions.

Contribution

It presents a novel holographic approach using the WKB approximation with Langer correction to model nonlinear Regge trajectories of quarkonia.

Findings

Accurately reproduces nonlinear Regge trajectories of the form $m_n^2 = eta (n + c_0)^{2/3} + c_1$

Fits experimental quarkonium masses with high accuracy

Decay constants from the model align well with experimental data

Abstract

We propose a holographic model for quarkonia using the WKB approximation with the Langer correction to properly reproduce nonlinear Regge trajectories of the form $m_n^2 = \beta (n + c_0)^{2/3} + c_1$. This form is expected from previous studies involving the solution of Cornell Potential for heavy quark anti-quark interactions using a model based on the quadratic form of the spinless Salpeter-type equation (QSSE). The model fits experimental masses with very good accuracy. As a by product, the corresponding decay constants also show a reasonable agreement with the results obtained from experimental data.