Abstract
Moments play a crucial role in investigating the characteristics of charged particle multiplicities in high energy interactions. The success of any model which describes the multiplicity data can be understood well by studying the normalised and factorial moments of that distribution.~The Tsallis model is one of the most successful models which describes the multiplicity spectra, transverse momentum ($p_T$) spectra very precisely in high energy interactions.~In our previous work we have used the Tsallis $q$-statistics to describe the multiplicity distributions in leptonic and hadronic collisions at various energies ranging from 14 GeV to 7 TeV.~In the present study we have extended our analysis for calculating the moments using the Tsallis model for $e^+e^-$ interactions at $\sqrt{s}$ = 91 to 206 GeV from the LEP data and for $pp$ interactions at $\sqrt{s}$ = 0.9 to 7 TeV in various pseudo-rapidity intervals from the CMS data at LHC. By using the Tsallis model we have also calculated the average charged multiplicity and its dependence on energy.~It is found that the moments and the mean multiplicities predicted by the Tsallis model are in good agreement with the experimental values.~We have also predicted the mean multiplicity at $\sqrt{s}$ = 500 GeV for $e^+e^-$ collisions and at $\sqrt{s}$ = 14 TeV for $pp$ collisions in extreme pseudo-rapidity interval, $|\eta|$ $<$ 2.4
Highlights
In high-energy collisions, particles are made to collide with relativistic momenta much greater than their rest masses, resulting in the production of a large number of particles in the final state [1] from a variety of processes
The pp data are analyzed at s 1⁄4 0.9, 2.34, 7 TeV in the restricted pseudorapidity windows of jηj < 0.5; 1.0; 1.5; 2.0; 2.4
Various analyses on the multiplicity distributions using these data have been done by us previously, and results can be found in Refs. [13,14,15,16]
Summary
In high-energy collisions, particles are made to collide with relativistic momenta much greater than their rest masses, resulting in the production of a large number of particles in the final state [1] from a variety of processes. Nch ; N total ð1Þ where σN is the cross section for the production of N number of particles and σtotal represents the toptaffiffil cross section of interaction at center-of-mass energy s This probability, PN, is obtained from the number of charged particles produced at specific multiplicity, Nch, and the total number of particles produced during the collisions, Ntotal.
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