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-antiquark 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. The corresponding decay constants also show a reasonable agreement with the results obtained from experimental data.

25 pages, 4 figures, 3 tables