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We calculate the baryon factorial cumulants assuming arbitrary short-rangecorrelations and the global baryon number conservation. The general factorialcumulant generating function is derived. Various relations between factorialcumulants subjected to baryon number conservation and the factorial cumulantswithout this constraint are presented. We observe that for $n$-th factorialcumulant, the short-range correlations of more than $n$ particles aresuppressed with the increasing number of particles. The recently published [1]relations between the cumulants in a finite acceptance with global baryonconservation and the grand-canonical susceptibilities are reproduced.

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