Universal description of radially excited heavy and light vector mesons

Abstract

A new qualitative stringlike picture for mesons is proposed which leads to a simple and intuitively clear generalization of linear radial Regge trajectories to the case of massive quarks. The obtained universal relation is successfully tested in the sector of unflavored vector mesons, where many radial excitations are known. Some new predictions are given. Our results suggest that the quark masses can be easily estimated from the spectra of radially excited mesons.

15 pages, to be published in Phys. Rev. D

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• Dynamics of the quark-antiquark interaction and the universality of Regge trajectories
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• Production of $\varphi (2170)$ and $\eta (2225)$ in a kaon induced reaction
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• Linear radial Regge trajectories for mesons with any quark flavor
• Exact relativistic Green's functions for the time-independent potentials
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• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• Measurement of the $e^{+}{e}^{-}\to K_S^0{K}_L^0{\pi }^0$ cross sections from $\sqrt{s}=$ 2.000 to 3.080 GeV
• The no-wall holographic model for vector quarkonia
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• The linear radial spectrum of scalar mesons within the QCD sum rules in the planar limit
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