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

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.‾n=‾n(√s). Our results are compared with the available experimental and theoretical values.