Exploring Self-affine Multiplicity Variability for the Events Produced in \(^{84}\)Kr \(+\) Emulsion Collisions at Relativistic Energy

The regional variations in multiplicity at relativistic energy multiparticle generation are proposed to be self-affine rather than self-similar due to the anisotropy of phase space. The article uses the two-dimensional factorial moment approach and the Hurst exponent (\(H\)) to study self-affine multiplicity fluctuation. At \(H=0.7\), the compound particles and at \(H=0.6\), the shower particles produced in the \(^{84}\)Kr–AgBr collisions and \(^{84}\)Kr–emulsion (\(^{84}\)Kr–Em) interact at 1 \(A\) GeV and display the best power-law features. All of these data exhibit self-affine multiplicity fluctuation patterns. Abstract Published by the Jagiellonian University 2026 authors