Oscillations in Modified Combinants of Hadronic Multiplicity Distributions

TL;DR

This paper investigates oscillations in modified combinants of hadronic multiplicity distributions, proposing a stochastic branching model with a hadronization scheme to explain differences observed in high-energy proton-proton and proton-antiproton scattering.

Contribution

It introduces a new stochastic branching model combined with a binomial distribution to reproduce and analyze oscillations in combinants of multiplicity distributions.

Findings

Model reproduces oscillation differences between $pp$ and $p\bar{p}$ scattering.

Highlights the impact of compounding with a binomial distribution on combinant oscillations.

Provides insights into the physical implications of multiplicity distribution oscillations.

Abstract

Oscillations in modified combinants ($C_j$s) have been of interest to multiparticle production mechanisms since the 1990s. Recently, there has been a discussion on how these oscillations can be reproduced by compounding a binomial distribution with a negative binomial distribution. In this work, we explore a stochastic branching model based on a simple interaction term $\lambda\overline{\psi}\phi\psi$ for partons and propose a hadronization scheme to arrive at the final multiplicity distribution. We study the effects that compounding our model with a binomial distribution has on $C_j$s and explore its physical implications. We find that there is a significant difference in the oscillations in $C_j$s between high energy $pp$ and $p\bar{p}$ scattering that our model can reproduce.