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

R. Baptista; L. Q. Rocha; J. M. C. Pareja; T. Bhattacharyya; A. Deppman; E. Megias; M. Rybczynski; G. Wilk; Z. Wlodarczyk

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arXiv · 2507.11451

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

R. Baptista·L. Q. Rocha·J. M. C. Pareja·T. Bhattacharyya·A. Deppman·E. Megias·M. Rybczynski·G. Wilk·Z. Wlodarczyk

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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.

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R. Baptista, L. Q. Rocha, J. M. C. Pareja, T. Bhattacharyya, A. Deppman, E. Megias, M. Rybczynski, G. Wilk, Z. Wlodarczyk. 2025-07-15. Nuclear modification factor within a dynamical approach to the complex entropic index. https://arxiv.org/abs/2507.11451

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