Scaling of chaotic multiplicity: A new observation in high-energy interactions

Abstract

We analyze high-energy-interaction data to study the dependence of chaotic multiplicity on the pseudorapidity window and propose a new scaling function $\overline{\Psi }\left(\overline{z}\right)=\frac{〈n_1〉}{{〈n〉}_{max}}$ where $〈n_1〉$ is the chaotic multiplicity and $\overline{z}=\frac{〈n〉}{{〈n〉}_{max}}$ is the reduced multiplicity, following the quantum-optical concept of particle production. It has been observed that the proposed "chaotic multiplicity scaling" is obeyed by $\mathrm{pp}$, $p\overline{p}$, and $AA$ collisions at different available energies.