Net-baryon number fluctuations using Tsallis statistics

In the present work, we show that the HRG-Tsallis model with a temperature dependent nonextensive q parameter reproduces the energy dependence of Sσ and kσ² for most peripheral collisions as well as Sσ for central collisions. However, the energy dependence of kσ² of central collision deviate significantly from the HRG-Tsallis model predictions particularly at energies 19.6 GeV and 27 GeV. We argue here that the predictions of HRG-Tsallis characterized by a temperature dependent q parameter should be taken as the baseline to study (experimentally) fluctuations of dynamical origin if any, which is still not contained in the Tsallis non-extensive thermodynamics