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

2016 ◽  
Vol 25 (06) ◽  
pp. 1650041 ◽  
Author(s):  
S. Sharma ◽  
M. Kaur ◽  
Sandeep Kaur

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.

2011 ◽  
Vol 20 (08) ◽  
pp. 1735-1754 ◽  
Author(s):  
M. MOHERY ◽  
M. ARAFA

The present paper deals with the interactions of 22 Ne and 28 Si nuclei at (4.1–4.5)A GeV /c with emulsion. Some characteristics of the compound multiplicity nc given by the sum of the number of shower particles ns and grey particles ng have been investigated. The present experimental data are compared with the corresponding ones calculated according to modified cascade evaporation model (MCEM). The results reveal that the compound multiplicity distributions for these two reactions are consistent with the corresponding ones of MCEM data. It can also be seen that the peak of these distributions shifts towards a higher value of nc with increasing projectile mass. It may further be seen that the compound multiplicity distributions becomes broader with increasing target size and its width increases with the size of the projectile nucleus. In addition, it has been found that the MCEM can describe the compound multiplicity characteristics of the different projectile, target and the correlation between different emitted particles. The values of average compound multiplicity increase with increasing mass of the projectile. Furthermore, it is observed that while the value of 〈nc〉 depends on the mass number of the projectile Ap and the target mass number At, the value of the ratio 〈nc〉/D(nc) seems to be independent of Ap and At. The impact parameter is found to affect the shape of the compound multiplicity distribution. Finally, the dependence of the average compound multiplicity on the numbers of grey and black particles, and the sum of them, is obvious. The values of the slope have been found to be independent of the projectile nucleus.


2017 ◽  
Vol 26 (03) ◽  
pp. 1750006 ◽  
Author(s):  
S. Sharma ◽  
M. Kaur ◽  
S. Thakur

Concepts from statistical mechanics and ensemble theory are applied to study the characteristic properties of charged particle production in hadron–nucleus collisions at high energy. In the present study we utilize the predictions from different approaches using statistical mechanics. The Tsallis q-statistics is used to study the regularity in multiplicity distributions in hadron–nucleus collisions at high energies as one of the interesting options. Gamma distributions and a possible microcanonical generalization of Tsallis distribution have also been exploited to describe the data.


2019 ◽  
Vol 206 ◽  
pp. 06005 ◽  
Author(s):  
Piotr Lebiedowicz ◽  
Otto Nachtmann ◽  
Antoni Szczurek

We review some selected results of the tensor-pomeron and vectorodderon model of soft high-energy proton-proton scattering and central exclusive production of meson and baryon pairs in proton-proton collisions. We discuss the theoretical aspects of this approach and consider the phenomenological implications in a variety of processes at high energies, comparing to existing experimental data. We consider the diffractive dipion and dikaon production including the continuum and the dominant scalar and tensor resonance contributions as well as the photoproduction processes. The theoretical results are compared with existing CDF experimental data and predictions for planned or current LHC experiments, ALICE, ATLAS, CMS, LHCb are presented.


2002 ◽  
Vol 11 (05) ◽  
pp. 387-401
Author(s):  
BHASKAR DE ◽  
S. BHATTACHARYYA ◽  
P. GUPTAROY

Within the framework of coalescence model, the problem of antideuteron [Formula: see text] production in some high energy nuclear collisions has here been studied with the help of a new combination of models (NCM) outlined in some detail in the text. The totality of the approach, including one useful parametrization, adopted here leads us to obtain finally some theoretical results which are modestly in agreement with the measured data on various aspects of antideuteron production in both Pb + Pb and Au + Au collisions at moderately high energies. The implications of all this are discussed at the end of the paper.


1986 ◽  
Vol 01 (01) ◽  
pp. 15-21 ◽  
Author(s):  
C.S. LAM ◽  
M.S. ZAHIR

We calculate the multiplicity distributions in fixed pseudorapidity intervals |η|≤ηc for [Formula: see text] collisions at [Formula: see text] GeV from the total multiplicity distribution. Agreement with experimental data is good where expected. This calculation may be regarded as giving a relation between the number of clusters lying inside |η|≤ηc and the partition temperature Tp(N) introduced by Chou, Yang and Yen for N produced particles.


2009 ◽  
Vol 24 (18n19) ◽  
pp. 3447-3454 ◽  
Author(s):  
A. DEWANTO ◽  
A. H. CHAN ◽  
Z. H. LIM ◽  
C. H. OH

We study the moments of multiplicty distribution and its relation to the Lee-Yang zeros of the generating function in electron-positron and hadron-hadron high energy collision. Our work shows that GMD moments can reproduce the oscillatory behaviour as shown in the experimental data and predicted by quantum chromodynamics at preasymptotic energy, while it can also be used to distinguish electron-positron (e+e-) multiplicity data from hadron-hadron (pp and [Formula: see text]) multiplicity. Furthermore, there seems to be a link between the development of shoulder structure in the multiplicity distribution and the development of ear structure in the Lee-Yang zeros. We predict that these structures is going to be very obvious at 14 TeV. We argue that the development of these structures indicates an ongoing transition from quark-dominated soft scattering events to gluon-dominated semihard scattering events.


1988 ◽  
Vol 03 (05) ◽  
pp. 1301-1319 ◽  
Author(s):  
V.M. BRAUN ◽  
L.G. DAKHNO ◽  
V.A. NIKONOV

High energy differential pd cross section is calculated in the framework of the multiple scattering theory, inelastic correction included. Special attention is paid to the analysis of the calculation uncertainties. The results agree well with the experimental data obtained at ISR energies in the q2 range 0.06–1.05 (GeV/c) 2. The calculation accuracy is proved to be not worse than 10–20% at q2~0.2 (GeV/c) 2 and much better at small q2, namely, ~1% in the optical point. Prediction for the differential cross section at UNK energy E lab =3 TeV is given.


2021 ◽  
Vol 57 (12) ◽  
pp. 1205
Author(s):  
M. Ayaz Ahmad ◽  
Shafiq Ahmad

An attempt has been made to study the angular characteristics of heavy ion collision at high energy in the interactions of 28Si nuclei using with nuclear emulsion. The KNO scaling behavior in terms of the multiplicity distribution has been studied. A simplest universal function has been used to represent the present experimental data.


1979 ◽  
Vol 57 (8) ◽  
pp. 1131-1135
Author(s):  
D. C. Ghosh ◽  
S. C. Naha ◽  
T. Roy

A semi-empirical formulation for the energy dependence of multiplicity in p–p collision has been proposed. It has been found that experimental data for the multiplicity show a remarkable agreement with this formulation in the entire energy region 10 GeV to 106 GeV.


2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
S. Fakhraddin ◽  
Magda A. Rahim ◽  
Hamdy M. M. Zayd

The multiplicity distributions of shower, grey, and black particles produced in interactions of4He,12C,16O,22Ne, and28Si with emulsion (Em) at 4.1–4.5 A GeV/c beam energies, and their dependence on target groups (H, CNO, and AgBr) is presented and has been reproduced by multisource thermal model. The multiplicity and the angular distributions of the three types of particles have been investigated. The experimental results are compared with the corresponding ones from the model. We found that the experimental data agrees with theoretical calculations using multisource thermal model.


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