Nuclear modification factor within a dynamical approach to the complex entropic index

TL;DR

This paper presents a new dynamical model combining Tsallis statistics and the Blast-Wave method to describe the nuclear modification factor in heavy-ion collisions, linking it to complex-$q$ formalism and log-oscillations.

Contribution

It introduces an analytical approach to $R_{AA}$ using a nonlinear dynamical equation and connects it with complex-$q$ formalism for the first time.

Findings

Analytical expressions fit experimental $R_{AA}$ data at 2.76 and 5.02 TeV.

The model predicts log-periodic oscillations in $R_{AA}$.

Linking dynamical equations with complex-$q$ formalism explains observed oscillations.

Abstract

This work introduces a novel approach to the nuclear deformation factor $R_{\text{AA}}$, grounded in the dynamical effects of the Quark-Gluon Plasma on parton momentum. The approach uses the Blast-Wave method combined with Tsallis Statistics, within the Cooper-Frye freeze-out framework and, by profiting from appropriate simplifications, it gives analytical expressions that describe the observed $R_{\text{AA}}$ for two sets of independent measurements at $\sqrt{s}=2.76$ TeV and $\sqrt{s}=5.02$ TeV. A nonlinear dynamical equation describes the dynamics and leads to log-periodic oscillations. With the analytical solutions for that equation, it is possible to link the dynamical approach with the complex-$q$ formalism, which was proposed to describe the log-oscillations observed in experimental data.