East European Journal of Physics (Oct 2017)

EMPIRICAL EQUATION USING GMDH METHODOLOGY FOR THE CHARGED PARTICLES MULTIPLICITY DISTRIBUTION IN HADRONIC POSITRON-ELECTRON ANNIHILATION

  • E. A. El-Dahshan,
  • S. Y. El-Bakry

Journal volume & issue
Vol. 4, no. 3
pp. 18 – 25

Abstract

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Multiplicity distributions are the most general characteristics of hadronic multiparticle production processes. The multiplicity distribution of hadronic positron-electron annihilation is investigated using group method data handling (GMDH) technique up to the highest available center of mass energy (√s) (from 14 GeV to 206 GeV). We have obtained an empirical physical equation for the multiplicity distribution as a function of √s and the charged multiplicity (nch) i. e.P(nch,√s) . Based on the obtained equation, we have also calculated the energy dependence of average multiplicity (n) i.e.n̄=n̄(√s). Our results are compared with the available experimental and theoretical values.

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