Quarkonium states in a complex-valued potential

2011/01/31 by Matthew Margotta, Kyle McCarty, Christina McGahan +2 · 102 citations
Engineering · Physics and Astronomy · #Elementary particle #High-Energy Particle Collisions Research #Nuclear reactor physics and engineering #Particle physics #Physics #Quarkonium #Thermodynamic and Structural Properties of Metals and Alloys #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.83.105019

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 83(10) (American Physical Society) · 23 pages, 9 figures; v4: subtraction of V_infinity corrected to only subtract Re[V_infinity]

openalex publication_date 2011/05/19 · arxiv created 2011/08/03 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate quarkonium binding energies using a realistic complex-valued potential for both an isotropic and anisotropic quark-gluon plasma. We determine the disassociation temperatures of the ground and first excited states considering both the real and imaginary parts of the binding energy. We show that the effect of momentum-space anisotropy is smaller on the imaginary part of the binding energy than on the real part of the binding energy. In the case that one assumes an isotropic plasma, we find disassociation temperatures for the J/\ensuremathψ, \ensuremathΥ, and \ensuremathχ_b of 2.3T_c, 2.9T_c, and 1.8T_c, respectively. We find that a finite oblate momentum-space anisotropy increases the disassociation temperature for all states considered and results in a splitting of the p-wave states associated with the \ensuremathχ_b first excited state of bottomonium.

Citations

• Thermal Width of theΥat Large ’t Hooft Coupling
• Heavy quark potential as a function of shear viscosity at strong coupling
• The heavy-quark potential in an anisotropic plasma
• Effective-field theories for heavy quarkonium
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• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
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Cited by

• Thermodynamics and instabilities of a strongly coupled anisotropic plasma
• QUARKONIA IN THE QUARK GLUON PLASMA
• Shear viscosity η to electrical conductivity σel ratio for an anisotropic QGP
• Quantum mechanical model for J/ψ suppression in the LHC era