Tsallis nonextensive entropy and the multiplicity distributions in high energy leptonic collisions

Abstract

The nonextensive behavior of entropy is exploited to explain the regularity in multiplicity distributions in [Formula: see text] collisions at high energies. The experimental data are analyzed by using Tsallis [Formula: see text]-statistics. We propose a new approach of applying Tsallis [Formula: see text]-statistics, wherein the multiplicity distribution is divided into two components; two-jet and multijet components. A convoluted Tsallis distribution is fitted to the data. It is shown that this method gives the best fits which are several orders better than the conventional fit of Tsallis distribution.

Multiplicity spectra in pp collisions at high energies in terms of Gamma and Tsallis distributions

“…Amongst the models of statistical particle production, the Tsallis distribution [1,2] has been used extensively to describe transverse momentum spectra of particles stemming from high energy particle collisions. Both for intermediate and high momenta regions, the particle production has been successfully described in the proton-proton (pp), antiprotonproton (pp), nucleus-nucleus (AA) [3][4][5][6][7] and e þ e − [8,9] collisions. It has also been shown by Urmossy et al [10] that in very high energy collisions, if only the momentum-energy conservation in hadronization is taken into account, the average momentum distribution of produced particles can be considered as a microcanonical generalization of the Tsallis distribution.…”

Moments of multiplicity distributions using Tsallis statistics in leptonic and hadronic collisions

“…The leptonic data from the L3 and OPAL experiments at √ s = 91 to 206 GeV [28][29][30][31][32] in the full phase space are analysed. Various analyses on the multiplicity distrubtions using these data have been done by us previously and results can be found in the references [13][14][15][16]. In the following sections results of the moments and average multiplicities obtained using the Tsallis statistics at different energies are discussed…”

“…In the last few years Tsallis model [12] has been used successfully in describing the MDs in hadronic and leptonic collisions for different collision energies. Recently we have analysed the e + e − , pp andpp collisions at different energies by using the Tsallis model [13][14][15][16]. In the present study we use the Tsallis approach to measure correlations between the particles produced in both leptonic and hadronic interactions at energies ranging from few GeV upto the LHC energies.…”

Modified Tsallis and Weibull distributions for multiplicities in e+e− collisions

“…Details of the Tsallis distribution and how to find the probability distribution can be obtained from [7]. In one of our earlier papers, we have analysed the e + e − interactions at various energies for full phase space data and described the procedure in detail in reference [12].…”

“…Weibull distribution is another sta- * Electronic address: manjit@pu.ac.in tistical distribution which has been studied recently [11] to describe multiplicity distributions in e + e − by S. Dash et al In the present study, our focus is to investigate the multiplicity distributions, mostly in restricted rapidity windows, at different energies and to study the characteristic properties of charged particle production in e + e − collisions. In one of our earlier papers [12], we used Tsallis distributions to fit e + e − data from 34.8 to 206 GeV of energy in the full phase space and modified the Tsalis distribution to obtain the best fits as compared to several other distributions. In this paper we will limit ourselves to comparing the distributions using Tsallis q-statistics with the Weibull distribution in both restricted rapidity regions as well as in the full phase space to understand the constraints for the models used.…”