Bag-type Model with Fractal Structure

Abstract

In this work we present a bag-type model within a non-extensive statistics applied to the description of the properties of a hadronic system with an underlying fractal structure. The non-extensive ideal gas inside the bag is determined by the grand canonical partition function from which pressure, energy and particle density as well as temperature and chemical potential are obtained for the hadronic system. These quantities are studied in the approximation of fixed mass for all bag constituents but also for discrete and continuum masses. In all cases, the freeze-out line, corresponding to the energy per particle equal to 1 GeV and the lines corresponding to a fractal structure inside the proton volume are obtained. Finally, the pressure on the bag surface of the proton is calculated and the resulting value $(0.135\mathrm{GeV}{)}^4$ obtained.

19 pages, 16 figures

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Cited by in corpus (4)

• Bose-Einstein condensation and non-extensive statistics
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Gauge fields renormalization groups and thermofractals