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. *

AdS/QCD duality and the quarkonia holographic information entropy

“…In the next section we compute the CE underlying the charmonium and bottomonium states using this model. For a similar model for heavy mesons see [33] and for holographic models for heavy-light mesons see, for example [34,35] IV. CONFIGURATIONAL ENTROPY OF QUARKONIA…”

Holographic vector mesons in a dilaton background

“…These observations offer an avenue for the design of suitably improved parameterizations of U 0 , e.g. by introducing a pronounced dip at small values of z, as used in [35,45,46,47,48,49,50,51]. The ansatz (9) facilitates a sequential melting upon increasing temperature, T g.s.…”

“…Early holographic attempts [29,30,31] to hadrons at non-zero temperatures faced the problem of meson melting at temperatures significantly below the deconfinement temperature T c . Several proposals have been made [32,33,34,35] to find rescue avenues which accommodate hadrons at T c .…”

“…That is, the dilaton potential is adjusted to QCD 2+1 (phys) lattice data. Such an approach looks quite different in relation to holographic investigations of meson melting without reference to QCD thermodynamics [35,45,46,47,48,49,50,51,52,53,54,55]. We restrict ourselves to equilibrium and leave non-equilibrium effects [56,57] for future work.…”

Light Meson Spectroscopy Using AdS/QCD Soft Wall Model with Extra UV Cutoff

“…In the case axial mesons, the vector field is massive, so gauge invariance is broken. But, following the ideas exposed in [16], the gauge A z = 0 is still valid. In fact, consider the equation of motion for the A z component, A z − ∂ z ∂ µ A µ − M 2 5 A z = 0.…”