Cumulants from short-range correlations and baryon number conservation - next-to-leading order

TL;DR

This paper derives and validates analytical formulas for baryon number cumulants considering short-range correlations and baryon conservation, extending previous work and confirming the accuracy of approximations at large baryon numbers.

Contribution

It provides leading and next-to-leading order analytical expressions for baryon cumulants with conservation effects, enhancing understanding of fluctuation calculations in heavy-ion collisions.

Findings

Analytical formulas closely match exact results.

Next-to-leading order terms improve approximation accuracy.

Results extend previous theoretical frameworks.

Abstract

We calculate the baryon number cumulants within acceptance with short-range correlations and global baryon number conservation in terms of cumulants in the whole system without baryon conservation. We extract leading and next-to-leading order terms of the large baryon number limit approximation. Our results extend the findings of Refs. [1,2]. These approximations are checked to be very close to the exact results.