Oscillations of Cumulant Moments - Universality of Amplitudes

TL;DR

This paper shows that the oscillations observed in multiplicity moments across various particle collision experiments are largely due to measurement artifacts, and proposes a universal correction method to reveal underlying similarities.

Contribution

It introduces a universal cutoff procedure that reduces measurement artifacts, clarifying the true oscillatory behavior of multiplicity moments across different collision types.

Findings

Oscillations are significantly influenced by measurement range limitations.

Applying the universal cutoff reveals similar oscillation magnitudes across reactions.

Distinct patterns of zeros and shapes persist for different reaction types.

Abstract

We demonstrate on simple examples that oscillatory behaviour of moments of multiplicity distributions P(n) observed in e^+e^- annihilations, in hadronic pp collisions and in collisions on nuclei, p+A, is to a large extend caused by the experimental artifact of measuring only limited range of P(n). In particular we show that by applying a suitable universal cutt-off procedure to the measured P(n) one gets for reactions mentioned before oscillations of similar magnitude. The location of zeros of oscillations as a function of the rank of moments and their shapes remain, however, distinctively different for different types of reactions considered. This applies to some extend also to collisions of nuclei, which otherwise follow their own pattern of behaviour.