Abstract

By the use of data from the annihilation process of electron-positron in AMY detector at 60 GeV center of mass energy, charged particles multiplicity distribution is obtained and fitted with the KNO scaling. Then, momentum spectra of charged particles and momentum distribution with respect to the jet axis are obtained, and the results are compared to the different models of QCD; also, the distribution of fragmentation functions and scaling violations are studied. It is being expected that the scaling violations of the fragmentation functions of gluon jets are stronger than the quark ones. One of the reasons for such case is that splitting function of quarks is larger than splitting function of gluon.

Highlights

  • Hadron production in high energy interactions can be described by the parton cascade [1], and it is not possible to describe the formation of hadrons through a perturbative description

  • Relative softness of fragmentation function of gluon jets in the range of small xE is being expressed by the multiplicity of radiated soft gluons; but, for higher values of xE, it is being described by the fact that gluons cannot exist as valence partons inside a produced parton

  • Given that the momentum distribution of charged particles has a key role in the scaling violation of fragmentation functions, so, in this article, first charged particles distribution will be obtained and will be fitted with the KNO scaling [8] in order to determine if it is consistent with other data from other energies

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Summary

Introduction

Hadron production in high energy interactions can be described by the parton cascade [1] (the propagation of gluons and their separation into partons), and it is not possible to describe the formation of hadrons through a perturbative description. The fragmentation function “Dah(x, Q2)” shows the possibility that a parton “a,” which is being produced in the short distances, might be in the range of 1/Q and fragment into a hadron “h” which has a fraction “x” of the momentum of the parton “a” [4,5,6,7]. Relative softness of fragmentation function of gluon jets in the range of small xE is being expressed by the multiplicity of radiated soft gluons; but, for higher values of xE, it is being described by the fact that gluons cannot exist as valence partons inside a produced parton. Given that the momentum distribution of charged particles has a key role in the scaling violation of fragmentation functions, so, in this article, first charged particles distribution will be obtained and will be fitted with the KNO scaling [8] in order to determine if it is consistent with other data from other energies. In other energy intervals, scaling violations of fragmentation functions will be discussed

Experimental Setup
Multiplicity of Charged Particles
KNO Scaling
Momentum Spectra of Charged Particles
34 GeV 60 GeV AMY
Distribution of Fragmentation Functions and Scaling Violation
Conclusion
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