Note on universal description of heavy and light mesons

Abstract

The experimental spectrum of excited S-wave vector mesons with hidden quark flavor reveals a remarkable property: For all flavors, it is approximately linear in mass squared, $m_n^2\approx a(n+b)$, $n$ is the radial quantum number. We draw attention to the fact that such a universal behavior for any quark mass cannot be obtained in a natural way within the usual semirelativistic potential and string-like models - if the Regge-like behavior is reproduced for the mesons made of the light quarks, the trajectories become essentially nonlinear for the heavy-quark sector. In reality, however, the linearity for the heavy mesons appears to be even better than for the light ones. In addition, the slope a is quite different for different quark flavors. This difference is difficult to understand within the QCD string approach since the slope measures the interaction strength among quarks. We propose a simple way for reparametrization of the vector spectrum in terms of quark masses and universal slope and intercept. Our model-independent analysis suggests that the quarks of any mass should be regarded as static sources inside mesons while the interaction between quarks is substantially relativistic.

Matches the version published in Mod. Phys. Lett. A

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• Hadron form factors and large-Nc phenomenology
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• Mass Formula for Light Nonstrange Mesons and Regge Trajectories in Quark Model
• Electromagnetic couplings of radially excited light vector mesons from QCD sum rules
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• String point of view for heavy-light mesons
• The flavor universality of some mass splittings in hadrons