Quarkonium states in a complex-valued potential

TL;DR

This paper investigates quarkonium binding energies in a complex potential within isotropic and anisotropic quark-gluon plasmas, revealing how anisotropy influences dissociation temperatures and state splitting.

Contribution

It introduces a realistic complex potential approach to compute quarkonium energies, accounting for anisotropy effects on dissociation temperatures and state splittings.

Findings

Disassociation temperatures for J/psi, Upsilon, and chi_b are 1.6, 2.8, and 1.5 T_c in isotropic plasma.

Momentum-space anisotropy raises dissociation temperatures for all states.

Anisotropy causes splitting of p-wave states in bottomonium.

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/psi, Upsilon and chi_b of 1.6 T_c, 2.8 T_c, and 1.5 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 chi_b first excited state of bottomonium.