4–10 Apr 2022
Auditorium Maximum UJ
Europe/Warsaw timezone
Proceedings submission deadline extended to September 11, 2022

Combinants and correlation functions in nuclear collisions

6 Apr 2022, 18:22
4m
Poster Correlations and fluctuations Poster Session 1 T07_1

Speaker

Maciej Rybczynski (Jan Kochanowski University (PL))

Description

Multiplicity distributions in e+e- and pp collisions analysed via combinants exhibit oscillatory behavior of the modified combinants. The possible sources of these oscillations and their impact on our understanding of the multiparticle production mechanism were discussed [1-3]. The set of combinants, Cj provides a similar measure of fluctuations as the set of cumulant factorial moments, Kq, which are very sensitive to the details of the multiplicity distribution and were frequently used in phenomenological analyses of data. However, while cumulants are best suited to the study of the densely populated region of phase space, combinants are better suited for the study of sparsely populated regions because calculation of Cj requires only a finite number of probabilities P(N <j).
In this presentation we discuss how these method can be used in nuclear collisions. We demonstrate how correlation functions can be related to combinants and illustrate how just the information about the sign of these correlation function can be used in analyses of multiplicity distributions in nuclear collisions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible non-trivial dynamics in heavy-ion collisions.

[1] M.Rybczynski, G.Wilk, Z.Wlodarczyk PRD 103 (2021) 114026
[2] H.W.Ang, A.H.Chan, M.Ghaffar, M.Rybczynski, G.Wilk, Z.Wlodarczyk, EPJA 56 (2020) 117
[3] H.W.Ang, M.Ghaffar, A.H.Chan, M.Rybczynski, Z.Wlodarczyk, G.Wilk Mod.Phys Lett. A 34 (2019) 1950324

Primary authors

Valeria Reyna Maciej Rybczynski (Jan Kochanowski University (PL)) Zbigniew Wlodarczyk (Jan Kochanowski University, Kielce, Poland)

Presentation materials