Net-baryon multiplicity distribution consistent with lattice QCD
Adam Bzdak, Volker Koch
TL;DR
This paper derives the net-baryon multiplicity distribution consistent with lattice QCD data, showing it closely resembles a Skellam distribution at relevant conditions, and discusses experimental measurement challenges.
Contribution
It provides a distribution model matching lattice QCD cumulants and analyzes its volume and temperature dependence relevant for heavy ion experiments.
Findings
Distribution closely matches Skellam distribution at relevant conditions
Experimental measurement of cumulants is challenging due to distribution shape
Estimates for required statistics to measure net-baryon and net-proton cumulants
Abstract
We determine the net-baryon multiplicity distribution which reproduces all cumulants measured so far by lattice QCD. We present the dependence on the volume and temperature of this distribution. We find that for temperatures and volumes encountered in heavy ion reactions, the multiplicity distribution is very close to the Skellam distribution, making the experimental determination of it rather challenging. We further provide estimates for the statistics required to measure cumulants of the net-baryon and net-proton distributions.
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