On the possibility of q-scaling in high energy production processes

Abstract

It has been noticed recently that transverse momenta (p_T) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual p_T. On the other hand, it is also widely known that transverse momentum distributions in general follow a power-like Tsallis distribution, rather than an exponential Boltzmann-Gibbs, with a (generally energy dependent) nonextensivity parameter q. Here we show that it is possible to choose a suitable variable such that all the data can be fitted by the same Tsallis distribution (with the same, energy independent value of the q-parameter). Thus they exhibit q-scaling.

Final version, accepted by J.Phys. G

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• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and the Temperature of Quark-Gluon Plasma
• Fractals, non-extensive statistics and QCD
• Ideal gas provides q-entropy
• Self-similarity in jet events following from p-p collisions at LHC
• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• Investigating the inclusive transverse spectra in high-energy $pp$ collisions in the context of geometric scaling framework
• Geometrical scaling for identified particles
• Some intriguing aspects of multiparticle production processes
• Quasi-power laws in multiparticle production processes
• Bag-type Model with Fractal Structure
• Scaling behavior of charged hadron $p_T$ distributions in $pp$ and $p\bar{p}$ collisions
• Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation
• Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy pp collisions
• Nonextensive lattice gauge theories: algorithms and methods
• Universal scaling of strange particle $p_{\mathrm{T}}$ spectra in pp collisions
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• Universal scaling of the pion, kaon and proton $p_{\mathrm{T}}$ spectra in Pb-Pb collisions at 2.76 TeV
• Universal scaling of meson and baryon spectra in p-Pb collisions at 5.02 TeV
• An appropriate statistical approach for nonequilibrium particle production
• Non-Extensive Transverse Momentum Distribution For Identified Particles at $\sqrt{S_{NN}}=$ 7.7, 11.5, 19.6, 27, 39 \hspace{0.05cm} GeV