Multiplicity distributions at high energies as a sum of Poissonian-like distributions

Abstract

It is shown that at collider energies experimental distributions in the multiplicity n of negatively charged particles in inelastic and non-single diffractive pp collisions are well parameterized by a sum of so-called Gupta-Sarma distributions having the Poisson distribution as a particular case. This extends the earlier description of the multiplicity distributions in hadron-hadron collisions at c.m. energies below 65 GeV by the two parameter sum of Poissonians. Implications of the proposed parametrization for the LHC energy are discussed.

Unified description of multiplicity distributions of final-state particles produced in collisions at high energies

“…In high energy positron-electron (e + e − ), proton-proton (pp), proton-antiproton (pp), positron-proton (e + p), proton-nucleus (pA), and nucleus-nucleus (AA) collisions, many particles are usually produced in the final state [1][2][3][4][5]. In the investigation of high energy collisions, multiplicity distributions of final-state particles may be measured in experiments.…”

Cell count moments in the halo model

“…where the number of clusters N h and the number of galaxies N i in each cluster are chosen randomly and at first we take the cluster occupation numbers N i to be independent and identically distributed. A similar sum over clusters arises in situations ranging from the distribution of particle multiplicities in hadron collisions at highenergy accelerators (Finkelstein 1988;Hegyi 1994;Tchikilev 1999) to the distribution of rainfall totals (Rodriguez-Iturbe, Cox & Isham 1987;Cowpertwait 1994;Evin & Favre 2008). We can characterize the net count distribution directly for small counts and in general using the generating function G(z).…”