Abstract
We study the properties of heavy quarkonia in a quark gluon plasma in the presence of bulk viscous effects. Within the hard thermal loop approximation at one-loop, the dielectric permittivity of a quark gluon plasma is computed, where the bulk viscous effect enters through the deformation of the distribution functions of thermal quarks and gluons. Based on the modified dielectric permittivity, we compute the in-medium heavy quark potential, that includes non-pertubative string-like terms as well as the perturbative Coulombic term. We discuss how the bulk viscous effect modify the real and imaginary parts of the in-medium potential. Several prescriptions are examined as to how to include the string-like non-perturbative potentials. Using the deformed potential, we compute the wave functions, binding energies, and decay widths of heavy quarkonia in a bulk viscous medium, and study their sensitivity to the strength of the bulk viscous effect. An estimate of the melting temperatures is given.
Highlights
By Karsch, Mehr, and Satz [13]
We study the properties of heavy quarkonia in a quark gluon plasma in the presence of bulk viscous effects
Heavy quarkonia are useful in probing the nature of the medium around them, through the modification of their properties
Summary
In order to compute the in-medium potential, we rely on the linear response theory, in which the in-medium properties are encoded in the color dielectric permittivity. The derivation of the dielectric permittivity in the HTL approximation in the presence of the bulk viscous correction. When the system is away from thermal equilibrium, the fluctuation-dissipation theorem is violated, which leads to the existence of two different Debye masses. The non-equilibrium effect enters through the modification of the distribution function of thermal quarks and gluons, f (k) = f0(k) + δnoneqf (k),. Such an anisotropy may be present at the early stage of heavy-ion collisions, where the longitudinal expansion is substantially stronger than the radial expansion. We discuss the effect of the bulk viscosity, and as f0 we take the thermal equilibrium one, f (k) = f0(k) + δbulkf (k),. The specific form of the correction is given later in eq (2.7)
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