Non linear Regge trajectories of quarkonia from holography

Nelson R. F. Braga; Yan F. Ferreira

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arXiv · 2512.20371

Non linear Regge trajectories of quarkonia from holography

Nelson R. F. Braga·Yan F. Ferreira

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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.

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Nelson R. F. Braga, Yan F. Ferreira. 2025-12-23. Non linear Regge trajectories of quarkonia from holography. https://arxiv.org/abs/2512.20371

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