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Quarkonium states in a complex-valued potential

Matthew Margotta, Kyle McCarty, Christina McGahan, Michael Strickland, and David Yager-Elorriaga

Department of Physics, Gettysburg College, Gettysburg, Pennsylvania 17325, USA

Phys. Rev. D 83, 105019 – Published 19 May, 2011Erratum Phys. Rev. D 84, 069902 (2011)

DOI: https://doi.org/10.1103/PhysRevD.83.105019

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 $J / ψ$ , $Υ$ , and $χ_{b}$ of $2.3 T_{c}$ , $2.9 T_{c}$ , and $1.8 T_{c}$ , 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 $χ_{b}$ first excited state of bottomonium.

Erratum

Erratum: Quarkonium states in a complex-valued potential [Phys. Rev. D 83, 105019 (2011)]

Matthew Margotta, Kyle McCarty, Christina McGahan, Michael Strickland, and David Yager-Elorriaga

Phys. Rev. D 84, 069902 (2011)

Article Text

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