Lee-Yang circle analysis of e + e − and $p\overline{p}$ generalized multiplicity distribution

Abstract

We study the evolution of Lee-Yang zeros structure of generalized multiplicity distribution (GMD) in high energy collision. Starting our study with electron-positron e + e − scattering data, we extend the study by Chan and Chew (Z. Phys. C 55:503, 1992) on TASSO and AMY multiplicity data for √ s = 14, 22, 34.8, 43.6 and 57 GeV to the ones from DELPHI and OPAL Collaboration for √ s = 91, 133, 161, 172, 183 and 189 GeV. We compare the results with the Lee-Yang structure for proton-antiproton pp at √ s = 200, 546 and 900 GeV from UA5 Collaboration. Our preliminary result shows that there is indeed a change in the shape and size of the Lee-Yang zeros with increasing energy, accompanied by the development of the so-called "ear"-like structure in the Lee-Yang plot. We expect that the development of this "ear"-like structure is related to the "shoulder" structure in the multiplicity data, which further indicates an ongoing phase transition from soft to semihard scattering. We also extend our prediction to LHC's √ s = 14 TeV. Insert your abstract here.

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

“…(8) and (9)), the values of energy dependence of the average charged multiplicity in e interactions, up to 206 GeV has been calculated to be n . When compared to other models, the value calculated is consistent with the evolution predicted by GMD method [21][22][23][24]. When s =206 GeV n =27.5, and so on for the lower energies.…”

“…3 gives the GMDH the proven ability of wide usage in the modeling of high energy physics. 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.…”

“…The obtained results are compared with the ones from other models [21][22][23][24]. The success of the approach used here is promising for modeling systems for which the relationships between the interaction parameters are not well understood and for which precise data is not available.…”

“…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].…”

A look at multiparticle production via modified combinants

“…In [15] we have used specific, QCD based, realization of such approach based on the stochastic branching equation (describing the total multiplicity distribution of partons inside a jet, [6]), P (n) dt = − An +Ãm P (n) + A(n − 1)P (n − 1) +ÃP (n − 1) = =Ãm[−P (n) + P (n − 1)] + A[−nP (n) + (n − 1)P (n − 1)], (B.2)…”