Quasipower laws in multiparticle production processes
Abstract
We review the ubiquitous presence in multiparticle production processes of quasipower 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, ${f(X)\sim [1  (1q)X/T]^{1/(1q)}}$, frequently used to describe the relevant distributions (the X being usually a transverse momentum). We discuss the origin of such quasipower 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 logoscillations as apparently observed in recent data on large momentum distributions in very high energy pp collisions.
 Publication:

Chaos Solitons and Fractals
 Pub Date:
 December 2015
 DOI:
 10.1016/j.chaos.2015.04.016
 arXiv:
 arXiv:1503.08704
 Bibcode:
 2015CSF....81..487W
 Keywords:

 High Energy Physics  Phenomenology;
 Condensed Matter  Statistical Mechanics;
 Nuclear Theory
 EPrint:
 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