Cumulative particle production as a rare event

TL;DR

This paper generalizes the Glauber model to describe cumulative particle production as rare events, linking their multiplicity distribution to minimum bias events and accounting for cluster interactions.

Contribution

It introduces a generalized Glauber formula for cumulative production, connecting rare event multiplicities to standard collision data with cluster effects.

Findings

Derived a new formula for cumulative production events.

Linked cumulative event multiplicity to minimum bias events.

Accounted for cluster effects in the production process.

Abstract

The generalization of the Glauber formula for cumulative production events is derived. On its basis the multiplicity distribution in such events is related to the one in the minimum bias events. As compared to the rare events of type $C$, the formula involves a shift in the arguments determined by the multiplicity from a collision with a cluster of several nucleons.