The effects of deformation parameter on thermal width of moving quarkonia in plasma

Abstract

In general we can say that the thermal width of quarkonia corresponds to imaginary part of it's potential. Gravity dual of theories give explicit form of potential as V QQ . Since there is an explicit formula for ImV QQ one can consider different gravity duals and study the results of contribution of various parameters. Variable gravity duals of moving pair in plasma have different results for potential. Our paper shows that deformation parameter c in warp factor leads to new results that we present them for arbitrary angles of the pair with respect to it's velocity. We compare our results with the case that no deformation parameter is in metric background. We will see that the thermal width of the pair increases with increasing deformation parameter. Also, for nonzero values of deformation parameter the pair feels moving plasma in all distances. In addition our results indicate that contribution of deformation parameter leads to larger dissociation length for the moving pair reverse to the effect of the pair's velocity in the plasma.

The imaginary potential and thermal width of moving quarkonium from holography

“…With using a probe D7-brane in the dual gravity theory, thermal width is investigated in [26]. The effects of deformation parameter on thermal width of moving quarkonium has been studied in [27].…”

Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

“…For example, the imaginary potential was studied for a static [64,65] and a moving quarkonium [66], and finite 't Hooft coupling correction [67]. For more studies see [68][69][70][71][72]. Also [74,75] have introduced other approaches to study I mV Q Q from the AdS/CFT correspondence.…”

Quark–antiquark entropic force and diffusion constant in a Yang–Mills-like theory

“…The evaluation of ImV QQ will yield to determine the suppression of QQ in heavy ion collision [40]. On the other hand the effects of deformation parameter in the thermal width of moving quarkonia in plasma has been studied in [41]. Also the imaginary part of the static potential has been studied as a observable and moving quarkonia in strongly coupled anisotropic plasma [42][43][44].…”