Holography and the internal structure of charmonium

Abstract

Holographic models that consider classical vector fields in a 5-d background provide successful effective descriptions for heavy vector meson spectra. This holds both in the vacuum and in a thermal medium, like the quark gluon plasma. However, it is somehow mysterious the way that these phenomenological models work. In particular, what is the role of the fifth dimension and what is the relation between the holographic 5-d background and the physical (4-d) heavy mesons. Hadrons, in contrast to leptons, are composite particles with some internal structure, that depends on the energy at which they are observed. In this work, a static meson is represented by a heavy quark-antiquark pair with an interaction described by a Nambu Goto string living in the same 5-d background that provides field solutions leading to masses and decay constants of charmonium states. The interaction potential that shows up is linear for large distances with a string tension consistent with the effective Cornell potential. Introducing temperature $T$ in the background it is found, for the $J/\psi$ case, that there is a deconfining transition at some critical value of $T$. The results obtained indicate that the 5-d background is effectively representing the internal structure of the (static) charmonium (quasi) states.

20 pages, 13 figures, version accepted for publication in Chinese Physics C

References in corpus (27)

• Wilson loops in large N field theories
• Linear Confinement and AdS/QCD
• Physics of Strongly coupled Quark-Gluon Plasma
• Heavy-Quark Potentials and AdS/QCD
• Colour Deconfinement and Quarkonium Binding
• Signatures of Quark-Gluon-Plasma formation in high energy heavy-ion collisions: A critical review
• Sequential charmonium dissociation
• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Holography, Heavy-Quark Free Energy, and the QCD Phase Diagram
• Heavy Quark Interactions in Finite Temperature QCD
• On Heavy-Quark Free Energies, Entropies, Polyakov Loop, and AdS/QCD
• Heavy meson dissociation in a plasma with magnetic fields
• Holographic model for charmonium dissociation
• Decay constants in soft wall AdS/QCD revisited
• Configuration Entropy for Quarkonium in a Finite Density Plasma
• Holographic Picture of Heavy Vector Meson Melting
• Lattice QCD computation of the SU(3) String Tension critical curve
• Decay Constant Ratios $f_{{\eta }_c}/f_{J/\psi }$ and $f_{{\eta }_b}/f_{{\rm Y}}$
• Quasinormal modes for quarkonium in a plasma with magnetic fields
• Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD
• Calibrating the Naïve Cornell Model with NRQCD
• Bottomonium dissociation in a finite density plasma
• Quark-antiquark potential from a deformed AdS/QCD
• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• Quark-gluon plasma phenomenology from the lattice