In the planar limit of the Myers-Perry black hole, increasing the boost parameter makes the imaginary quarkonium potential appear at smaller separations and enlarges the thermal width, most strongly for transverse pair orientation.
The Imaginary Potential of Heavy Quarkonia Moving in Strongly Coupled Plasma
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abstract
The melting of a heavy quark-antiquark bound state depends on the screening phenomena associated with the binding energy, as well as scattering phenomena associated with the imaginary part of the potential. We study the imaginary part of the static potential of heavy quarkonia moving in the strongly coupled plasma. The imaginary potential dependence on the velocity of the traveling bound states is calculated. Non-zero velocity leads to increase of the absolute value of the imaginary potential. The enhancement is stronger when the quarkonia move orthogonal to the quark-gluon plasma maximizing the flux between the pair. Moreover, we estimate the thermal width of the moving bound state and find it enhanced compared to the static one. Our results imply that the moving quarkonia dissociate easier than the static ones in agreement with the expectations.
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Imaginary potential and thermal width in the spinning black hole background from holography
In the planar limit of the Myers-Perry black hole, increasing the boost parameter makes the imaginary quarkonium potential appear at smaller separations and enlarges the thermal width, most strongly for transverse pair orientation.