Factorial cumulants from short-range correlations and global baryon number conservation

TL;DR

This paper derives a general framework for calculating baryon factorial cumulants considering short-range correlations and global baryon number conservation, revealing suppression effects and reproducing known relations in finite acceptance scenarios.

Contribution

It introduces a comprehensive factorial cumulant generating function accounting for both short-range correlations and baryon conservation, providing new relations between cumulants.

Findings

Short-range correlations of more than n particles are suppressed for the n-th factorial cumulant.

Reproduction of relations between cumulants in finite acceptance and grand-canonical susceptibilities.

Derived a general factorial cumulant generating function incorporating conservation laws.

Abstract

We calculate the baryon factorial cumulants assuming arbitrary short-range correlations and the global baryon number conservation. The general factorial cumulant generating function is derived. Various relations between factorial cumulants subjected to baryon number conservation and the factorial cumulants without this constraint are presented. We observe that for $n$-th factorial cumulant, the short-range correlations of more than $n$ particles are suppressed with the increasing number of particles. The recently published [1] relations between the cumulants in a finite acceptance with global baryon conservation and the grand-canonical susceptibilities are reproduced.