2017/04/17 by Masakiyo Kitazawa, X. Luo, Xiaofeng Luo · 44 citations
Mathematics · Physics and Astronomy · #Cumulant #Event (particle physics) #Factorial #Factorial experiment #Hadron #Heavy ion #High-Energy Particle Collisions Research #Ion #Mathematical analysis #Mathematics #Negative binomial distribution #Observable #Particle physics #Physics #Poisson distribution #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rapidity #Statistical Methods and Bayesian Inference #Statistical physics #Statistics #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.96.024910
published in Physical Review C 96(2), 24910 (American Institute of Physics) · 17 pages, 4 figures
arxiv created 2017/04/17 · openalex publication_date 2017/08/25 · arxiv updated 2017/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We discuss properties and applications of factorial cumulants of various particle numbers and for their mixed channels measured by event-by-event analysis in relativistic heavy-ion collisions. After introducing the factorial cumulants for systems with multiparticle species, their properties are described. The uses of factorial cumulants in the study of critical fluctuations are discussed. We point out that factorial cumulants play useful roles in understanding fluctuation observables when they have underlying physics approximately described by the binomial distribution. As examples, we suggest novel utilization methods of the factorial cumulants in the study of the momentum cut and rapidity window dependences of fluctuation observables.