Holographic model for heavy vector meson masses

Abstract

The experimentally observed spectra of heavy vector meson radial excitations show a dependence on two different energy parameters. One is associated with the quark mass and the other with the binding energy levels of the quark anti-quark pair. The first is present in the large mass of the first state while the other corresponds to the small mass splittings between radial excitations. In this article we show how to reproduce such a behavior with reasonable precision using a holographic model. In the dual picture, the large energy scale shows up from a bulk mass and the small scale comes from the position of anti-de Sitter (AdS) space where field correlators are calculated. The model determines the masses of four observed S-wave states of charmonium and six S-wave states of bottomonium with , 6.1 % rms error. In consistency with the physical picture, the large energy parameter is flavor dependent, while the small parameter, associated with quark anti-quark interaction is the same for charmonium and bottomonium states.

In V5 we just added some clarifying explanations about the model. 5 tables, no figure. Version published in Europhysics Letters

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• Holographic Heavy-Light Chiral Effective Action
• Heavy-Light Mesons in Chiral AdS/QCD
• Heavy Holographic Exotics: Tetraquarks as Efimov States
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
• Holographic stability for non-$q\bar{q}$ candidates
• Light Pseudoscalar and Axial Spectroscopy using AdS/QCD Modified Soft Wall Model
• A holographic bottom-up description of light nuclide spectroscopy and stability
• The effect of higher dimensional QCD operators on the spectroscopy of bottom-up holographic models
• Spectroscopy of excited quarkonium states in the light-front quark model
• Heavy quarkonium spectral function in the spinning black hole background
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density
• On incorporation of heavy-quark mass into soft-wall holographic models