Abstract
Using a Tsallis nonextensive approach, we simultaneously analyze recent data obtained by the LHC ATLAS experiment on distributions of transverse momenta of jets, pTjet, together with distributions of transverse momenta of particles produced within these jets (defined relative to the jetʼs axis), pTrel, and their multiplicity distributions, P(N). The respective nonextensivity parameters for distributions of jets, qjet, for distributions of particles in jets, qrel and the global nonextensivity parameter obtained from P(N), qN, were then compared with nonextensivity parameters q obtained from minimum bias pp collisions at energies corresponding to the energies of these jets. The values of the corresponding nonextensivity parameters were found to be similar, strongly indicating the existence of a common mechanism behind all these processes. We tentatively identify this as a self-similarity property known to be present there and resulting in Tsallis type distributions. If confirmed, this would considerably strengthen the nonextensive Tsallis approach.
Highlights
For some time it is known that transverse momentum spectra of different kinds measured in multiparticle production processes, which change character from exponential at small values of pT to power-like at large pT, can be described by a simple two-parameter formula, h = C 1 + pT nT −n (1)This was first proposed in [1] as the simplest formula extrapolating the large pT power behavior expected from parton collisions to exponential behavior observed for pT → 0
The values of the respective nonextensivity parameters obtained this way, when compared with the corresponding values obtained from the inclusive distributions measured in pp collisions for the corresponding energies available for production and in similar ranges of transverse momenta, were found to be similar
This can be considered as strong evidence of the existence of some common mechanism behind all these processes which we tentatively identify with a self-similarity property and cascade type processes based on multiplicative noise [20]
Summary
For some time it is known that transverse momentum spectra of different kinds measured in multiparticle production processes, which change character from exponential at small values of pT to power-like at large pT , can be described by a simple two-parameter formula, h (pT ) = C. This was first proposed in [1] as the simplest formula extrapolating the large pT power behavior expected from parton collisions to exponential behavior observed for pT → 0. A Tsallis distribution (1) emerges if one accounts for this dependence and assumes it in the following two parameter (n and T ) form, γ
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