Abstract
The binomial acceptance correction procedure is studied for particle number distributions detected in high energy reactions in finite regions of the momentum space. We present acceptance correction formulas for scaled variance, skewness, and kurtosis. Our considerations include various specific types of particles - positively or negatively charged, baryons and antibaryons - as well as conserved charges, namely, the net baryon number and electric charge. A simple model with effects of exact charge conservation, namely the Bessel distribution, is studied in some detail where effects of multi-particle correlations are present. The accuracy of the binomial filter is studied with UrQMD model simulations of inelastic proton-proton reactions. Binomial acceptance correction procedure works well when used inside a small region of phase space as well as for certain efficiency corrections, in particular for constructing net proton fluctuation from net baryon ones. Its performance is less accurate when applied to obtain UrQMD fluctuations in a finite rapidity window from fluctuations in the full $4\pi$ space.
Highlights
Investigation of the phase diagram of strongly interacting matter is today one of the most important topics in nuclear and particle physics
The binomial acceptance correction procedure is studied for particle number distributions detected in highenergy reactions in finite regions of the momentum space
The binomial acceptance correction procedure works well when used inside a small region of phase space as well as for certain other types of corrections, in particular for constructing net proton fluctuations from net baryon ones
Summary
Investigation of the phase diagram of strongly interacting matter is today one of the most important topics in nuclear and particle physics. A critical point (CP) should yield large deviations of the conserved charges from their respective baselines in finite regions of the phase space around a CP, showing universal signals in various high-order susceptibilities [1,2,3,4,5,6] This generally applies to the hypothetical chiral QCD CP which has garnered most attention, and to the better established CP of the nuclear liquid-gas transition [7,8], which entails characteristic patterns in nucleon number fluctuations [9] as well as nuclear fragment distributions [10]. Our main focus here is on a number of special cases for which the present formalism is found to be most suitable We will consider both the fluctuations of the specific particle species and that of globally conserved charges such as baryon number or electric charge.
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