Jet quenching of the heavy quarks in the quark-gluon plasma and the nonadditive statistics
Metadatos
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Elsevier
Materia
Plastino-Plastino equation Jet quenching parameter Nuclear suppression factor
Date
2024-07-26Referencia bibliográfica
Bhattacharyya, T. & Megías, E. & Deppman, A. 856 (2024) 138907. [https://doi.org/10.1016/j.physletb.2024.138907]
Patrocinador
project PID2020-114767GB-I00 and by the Ramón y Cajal Program under Grant RYC-2016-20678 funded by MCIN/AEI/10.13039/501100011033 and by “FSE Investing in your future”; Junta de Andalucía under Grant FQM-225, and by the “Prórrogas de Contratos Ramón y Cajal” Program of the University of Granada; project INCT-FNA Proc. No. 464898/2014-5. A. D. acknowledges the support from the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil), grant 306093/2022-7Résumé
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 (q^) for the PP dynamics. With the help of the estimate of q^, we calculate the nuclear suppression factor (RAA) 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 RAA data, indicating that fast heavy-quarks may be subjected to anomalous diffusion inside the QGP.