Quasi normal modes for Heavy Vector Mesons in a Finite Density Plasma

Abstract

There are strong indications that ultra-relativistic heavy ion collisions, produced in accelarators, lead to the formation of a new state of matter: the quark gluon plasma (QGP). This deconfined QCD matter is expected to exist just for very short times after the collision. All the information one can get about the plasma is obtained from the particles that reach the detectors. Among them, heavy vector mesons are particularly important. The abundance of $c\bar{c}$ and $b\bar{b}$ states produced in a heavy ion collision is a source of information about the plasma. In contrast to the light mesons, that completely dissociate when the plasma is formed, heavy mesons presumably undergo a partial thermal dissociation. The dissociation degree depends on the temperature and also on the presence of magnetic fields and on the density (chemical potential). So, in order to get information about the plasma out of the quarkonium abundance data, one needs to resort to models that provide the dependence of the dissociation degree on these factors. Holographic phenomenological models provide a nice description for charmonium and bottomonium quasi-states in a plasma. In particular, quasi-normal modes associated with quarkonia states have been studied recently for a plasma with magnetic fields. Here we extend this analysis of quasinormal models to the case when charmonium and bottomonium are inside a plasma with finite density. The complex frequencies obtained are then compared with a Breit Wigner approximation for the peaks of the corresponding thermal spectral functions, in order to investigate the quantitative agreement of the different descriptions of quarkonium quasi-states.

16 pages, 6 figures, 2 tables. In V2: we clarified the interpretation of the energy parameters of the holographic model, included 4 references and corrected typos. Version to be published in Phyics Letters B

References in corpus (8)

• Light and heavy mesons in a soft-wall holographic approach
• Holography, Heavy-Quark Free Energy, and the QCD Phase Diagram
• AdS/QCD duality and the quarkonia holographic information entropy
• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• Holographic model for charmonium dissociation
• Heavy quarkonium in a holographic QCD model
• Quasinormal modes for quarkonium in a plasma with magnetic fields
• Mesons in a soft-wall AdS-Schwarzschild approach at low temperature

Cited by in corpus (9)

• Configuration Entropy for Quarkonium in a Finite Density Plasma
• Configuration entropy description of charmonium dissociation under the influence of magnetic fields
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
• Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography
• Hawking-Page transition in holographic QCD at finite density
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Heavy quarkonium spectral function in the spinning black hole background
• Configuration entropy of ${\rm Y}(1S)$ state in strong coupling plasma
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density