skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quarkonium states in an anisotropic QCD plasma

Abstract

We consider quarkonium in a hot quantum chromodynamics (QCD) plasma which, due to expansion and nonzero viscosity, exhibits a local anisotropy in momentum space. At short distances the heavy-quark potential is known at tree level from the hard-thermal loop resummed gluon propagator in anisotropic perturbative QCD. The potential at long distances is modeled as a QCD string which is screened at the same scale as the Coulomb field. At asymptotic separation the potential energy is nonzero and inversely proportional to the temperature. We obtain numerical solutions of the three-dimensional Schroedinger equation for this potential. We find that quarkonium binding is stronger at nonvanishing viscosity and expansion rate, and that the anisotropy leads to polarization of the P-wave states.

Authors:
 [1];  [2];  [3];  [4]
  1. Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Ave, New York, New York 10010 (United States)
  2. Helmholtz Research School, Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main (Germany)
  3. Department of Mathematics and Science, Pratt Institute, 200 Willoughby Avenue, Brooklyn, New York 11205 (United States)
  4. Department of Physics, Gettysburg College, Gettysburg, Pennsylvania 17325 (United States)
Publication Date:
OSTI Identifier:
21266348
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.79.054019; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; ASYMPTOTIC SOLUTIONS; B QUARKS; C QUARKS; COULOMB FIELD; GLUONS; NUMERICAL SOLUTION; P WAVES; PERTURBATION THEORY; PLASMA; POLARIZATION; POTENTIAL ENERGY; POTENTIALS; QUANTUM CHROMODYNAMICS; QUARKONIUM; SCHROEDINGER EQUATION; STRING MODELS; T QUARKS; THREE-DIMENSIONAL CALCULATIONS; VISCOSITY

Citation Formats

Dumitru, Adrian, RIKEN-BNL Research Center, Brookhaven National Lab, Upton, New York 11973, Graduate School and University Center, City University of New York, , 365 Fifth Avenue, New York, New York 10036, Yun, Guo, Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, Mocsy, Agnes, and Strickland, Michael. Quarkonium states in an anisotropic QCD plasma. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.054019.
Dumitru, Adrian, RIKEN-BNL Research Center, Brookhaven National Lab, Upton, New York 11973, Graduate School and University Center, City University of New York, , 365 Fifth Avenue, New York, New York 10036, Yun, Guo, Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, Mocsy, Agnes, & Strickland, Michael. Quarkonium states in an anisotropic QCD plasma. United States. https://doi.org/10.1103/PHYSREVD.79.054019
Dumitru, Adrian, RIKEN-BNL Research Center, Brookhaven National Lab, Upton, New York 11973, Graduate School and University Center, City University of New York, , 365 Fifth Avenue, New York, New York 10036, Yun, Guo, Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, Mocsy, Agnes, and Strickland, Michael. 2009. "Quarkonium states in an anisotropic QCD plasma". United States. https://doi.org/10.1103/PHYSREVD.79.054019.
@article{osti_21266348,
title = {Quarkonium states in an anisotropic QCD plasma},
author = {Dumitru, Adrian and RIKEN-BNL Research Center, Brookhaven National Lab, Upton, New York 11973 and Graduate School and University Center, City University of New York, , 365 Fifth Avenue, New York, New York 10036 and Yun, Guo and Institute of Particle Physics, Huazhong Normal University, Wuhan 430079 and Mocsy, Agnes and Strickland, Michael},
abstractNote = {We consider quarkonium in a hot quantum chromodynamics (QCD) plasma which, due to expansion and nonzero viscosity, exhibits a local anisotropy in momentum space. At short distances the heavy-quark potential is known at tree level from the hard-thermal loop resummed gluon propagator in anisotropic perturbative QCD. The potential at long distances is modeled as a QCD string which is screened at the same scale as the Coulomb field. At asymptotic separation the potential energy is nonzero and inversely proportional to the temperature. We obtain numerical solutions of the three-dimensional Schroedinger equation for this potential. We find that quarkonium binding is stronger at nonvanishing viscosity and expansion rate, and that the anisotropy leads to polarization of the P-wave states.},
doi = {10.1103/PHYSREVD.79.054019},
url = {https://www.osti.gov/biblio/21266348}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 79,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 2009},
month = {Sun Mar 01 00:00:00 EST 2009}
}