Charged multiplicity distributions and correlations ine + e − annihilation at PETRA energies

Empirical Equation Using GMDH Methodology for the Charged Particles Multiplicity Distribution in Hadronic Positron-Electron Annihilation

“…Figure 3 demonstrates the calculated charged multiplicity distribution at 14, 29,34.8, 43.6,...., 206 s G e V = which have been compared with the corresponding experimental and theoretical ones [21][22][23][24]. The comparison between the charged particle multiplicity distribution calculated by the generalized multiplicity distribution (GMD) model for [12][13][14][15][16][17][18][19][20] and theoretical [21][22][23][24] data especially at 183 and 206 GeV. Fig.…”

“…In order to demonstrate the prediction ability and evaluate the generality of GMDH type neural networks, experimental data from several collaboration [12][13][14][15][16][17][18][19][20] has been used to construct the ( )…”

“…In the present study, experimental data from different Collaborations [12][13][14][15][16][17][18][19][20] has been used for the model development. The experimental data are divided into training (calibration) set and testing (validation) set (A 10-fold cross-validation method [32] was used to evaluate the estimation error, that is, all the experimental data are randomly divided into 10 folds.…”

“…The multiplicity distribution are treated experimentally (see e.g. [12][13][14][15][16][17][18][19][20]) and theoretically [21][22][23][24]. However, due to the lacking of fundamental theory, a number of phenomenological models have been proposed to characterize the charged-particle multiplicity in high energy hadron processes [1,9], starting with early investigations by W. Heisenberg and E. Fermi [19,20].…”

“…, ranging from 14 to 206 GeV [12][13][14][15][16][17][18][19][20] as well as the energy dependence of average multiplicity, n . The obtained results are compared with the ones from other models [21][22][23][24].…”