Quasi-power laws in multiparticle production processes

Abstract

We review the ubiquitous presence in multiparticle production processes of quasi-power law distributions (i.e., distributions following pure power laws for large values of the argument but remaining finite, usually exponential, for small values). Special emphasis is placed on the conjecture that this reflects the presence in the produced hadronic systems of some intrinsic fluctuations. If described by parameter q they form, together with the scale parameter $T$ ("temperature"), basis of Tsallis distribution, $f(X)\sim [1-(1-q)X/T{]}^{1/(1-q)}$, frequently used to describe the relevant distributions (the X being usually a transverse momentum). We discuss the origin of such quasi-power law behavior based on our experience with the description of multiparticle production processes. In particular, we discuss Tsallis distribution with complex nonextensivity parameter q and argue that it is needed to describe log-oscillations as apparently observed in recent data on large momentum distributions in very high energy p-p collisions.

Invited talk presented by G.Wilk at SigmaPhi2014 conferences at Rhodes, Greece. To be published in Chaos, Solitons and Fractals (2015). Contains also results presented before in arXiv:1403.3508

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Cited by in corpus (13)

• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• Some intriguing aspects of multiparticle production processes
• Approach of complexity in nature: Entropic nonuniqueness
• An example of the interplay of nonextensivity and dynamics in the description of QCD matter
• Dissipative Properties and Isothermal Compressibility of Hot and Dense Hadron Gas using Non-extensive Statistics
• Temperature oscillations and sound waves in hadronic matter
• Comparing the Tsallis distribution with and without thermodynamical description in p+p collisions
• Oscillations in multiparticle production processes
• Oscillations in counting statistics
• Sound waves in hadronic matter
• Nonextensive quasiparticle description of QCD matter