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Nonlinear Regge trajectories of quarkonia from holography

Nelson R. F. Braga* and Yan F. Ferreira†

  • *Contact author: braga@if.ufrj.br
  • †Contact author: yancarloff@pos.if.ufrj.br
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Phys. Rev. D 114, 034018 – Published 10 August, 2026

DOI: https://doi.org/10.1103/69v4-cfqv

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 mn2=β(n+c0)2/3+c1. 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. 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.

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Phys. Rev. D 114, 034018– Published 10 August, 2026
  • Received 2 January 2026
  • Accepted 6 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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