Heavy quarkonium moving in hot and dense deconfined nuclear matter

Abstract

We study the behavior of the complex potential between a heavy quark and its antiquark, which are in relative motion with respect to a hot and dense medium. The heavy quark-antiquark complex potential is obtained by correcting both the Coulombic and the linear terms in the Cornell potential through a dielectric function estimated within the real-time formalism using the hard thermal loop approximation. We show the variation of both the real and the imaginary parts of the potential for different values of velocities when the bound state ($Q\bar{Q}$ pair) is aligned in the direction parallel as well as perpendicular to the relative velocity of the $Q\bar{Q}$ pair with the thermal medium. With an increase of the relative velocity the screening of the real part of the potential becomes weaker at short distances and stronger at large distances for the parallel case. However, for the perpendicular case the potential decreases with an increase of the velocity at all distances which results in the larger screening of the potential. In addition, the inclusion of the string term makes the screening of the potential weaker as compared to the Coulombic term alone for both cases. Therefore, by combining all these effects we expect a stronger binding of a $Q\bar{Q}$ pair in a moving medium in the presence of the string term as compared to the Coulombic term alone. The imaginary part decreases (in magnitude) with an increase of the relative velocity, leading to a decrease of the width of the quarkonium state at higher velocities. The inclusion of the string term increases the magnitude of the imaginary part, which results in an increase of the width of the quarkonium states. All of these effects lead to the modification in the dissolution of quarkonium states.

27 pages, 10 figures, v2, published in PRD

References in corpus (30)

• Static quark-antiquark pairs at finite temperature
• Thermal Dileptons at LHC
• Heavy-Quark Kinetics in the QGP at LHC
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• An AdS/CFT Calculation of Screening in a Hot Wind
• Color Screening Melts Quarkonium
• Charmonium properties in hot quenched lattice QCD
• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Can quarkonia survive deconfinement ?
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• The heavy-quark potential in an anisotropic plasma
• The Spatial String Tension, Thermal Phase Transition, and AdS/QCD
• Heavy quarkonium in any channel in resummed hot QCD
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Quarkonium states in an anisotropic QCD plasma
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Lattice Simulations of the Thermodynamics of Strongly Interacting Elementary Particles and the Exploration of New Phases of Matter in Relativistic Heavy Ion Collisions
• Screening length in plasma winds
• Dissociation of quarkonium in hot QCD medium: Modification of the inter-quark potential
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• Wakes in the quark-gluon plasma
• Potential models and lattice correlators for quarkonia at finite temperature
• The Imaginary Potential of Heavy Quarkonia Moving in Strongly Coupled Plasma
• The Spatial String Tension and Dimensional Reduction in QCD
• The thermal width of heavy quarkonia moving in quark gluon plasma
• Wakes in a Collisional Quark-Gluon Plasma
• Thermal suppression of moving heavy quark pairs in strongly coupled plasma
• Quarkonium in a non-ideal hot QCD Plasma

Cited by in corpus (6)

• Liénard-Wiechert potential of a heavy quark moving in QGP medium
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Heavy quark dynamics via Gribov-Zwanziger approach
• Quarkonium in a bulk viscous QGP medium