Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics

Abstract

Using the Plastino-Plastino (PP) equation, we calculate transport coefficients of the heavy-quarks traversing inside the quark-gluon plasma, and generalize their relationship with differential energy loss. The PP equation indicates anomalous diffusion of the probe particles and yields a quasi-exponential stationary distribution obtained also from the nonadditive statistics proposed by C. Tsallis. We estimate energy loss in a nonadditive quark-gluon medium, and calculate the jet-quenching parameter ($\hat{q}$) for the PP dynamics. With the help of the estimate of $\hat{q}$, we calculate the nuclear suppression factor ($R_{\text{AA}}$) of the heavy-quarks passing through a nonadditive quark-gluon plasma using the model proposed by Dokshitzer and Kharzeev. In many a case, the parameters in the analysis are fixed from the experimental results to minimize arbitrariness. There is a good agreement between the theoretical calculation and experimental $R_{\text{AA}}$ data, indicating that fast heavy-quarks may be subjected to anomalous diffusion inside the QGP.

12 pages, 4 figures

References in corpus (11)

• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Fractal derivatives, fractional derivatives and $q$-deformed calculus
• From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Dynamics in fractal spaces
• Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit
• Energy loss for heavy quarks in relation to light partons; is radiative energy loss for heavy quarks anomalous?
• Comparative study of the heavy-quark dynamics with the Fokker-Planck Equation and the Plastino-Plastino Equation
• Soft gluon emission from heavy quark scattering in strongly interacting quark-gluon plasma
• Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
• Anomalous diffusion of the heavy quarks through the fractional Langevin equation

Cited by in corpus (1)

• Subdiffusion of heavy quark in hot QCD matter by the fractional Langevin equation