How to retrieve additional information from the multiplicity distributions

Abstract

Multiplicity distributions $P(N)$ measured in multiparticle production processes are most frequently described by the Negative Binomial Distribution (NBD). However, with increasing collision energy some systematic discrepancies become more and more apparent. They are usually attributed to the possible multi-source structure of the production process and described using a multi-NBD form of the multiplicity distribution. We investigate the possibility of keeping a single NBD but with its parameters depending on the multiplicity $N$. This is done by modifying the widely known clan model of particle production leading to the NBD form of $P(N)$. This is then confronted with the approach based on the so-called cascade-stochastic formalism which is based on different types of recurrence relations defining $P(N)$. We demonstrate that a combination of both approaches allows the retrieval of additional valuable information from the multiplicity distributions, namely the oscillatory behavior of the counting statistics apparently visible in the high energy data.

A few cosmetical changes. Version accepted for publication by J.Phys. G

References in corpus (5)

• Relating multihadron production in hadronic and nuclear collisions
• Effective-energy budget in multiparticle production in nuclear collisions
• A three-component description of multiplicity distributions in pp collisions at the LHC
• Estimation in a fluctuating medium and power-law distributions
• Generalized statistical models of voids and hierarchical structure in cosmology

Cited by in corpus (13)

• Some intriguing aspects of multiparticle production processes
• Three-component multiplicity distribution, oscillation of combinants and properties of clans in $pp$ collisions at the LHC
• Intriguing properties of multiplicity distributions
• Modified combinant analysis of the $e^{+}{e}^{-}$ multiplicity distributions
• Unified Description of Multiplicity Distributions and Bose-Einstein Correlations at the LHC Based on the Three-Negative Binomial Distribution
• A look at multiparticle production via modified combinants
• Oscillations in multiparticle production processes
• Geometric Poisson distribution of photons produced in the ultrarelativistic hadronic collisions
• Counting distributions from the perspective of combinants
• Intriguing feature of multiplicity distributions
• Sub-Poissonian multiplicity distributions in jets produced in hadron collisions
• Analysis of Bose-Einstein correlation at 7 TeV by LHCb collaboration based on stochastic approach
• A Monte Carlo study of multiplicity fluctuations in proton-proton collisions at $\sqrt{s}=$~7~TeV