Non linear Regge trajectories of quarkonia from holography

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.