Self-affine scaling from non-integer phase-space partition in $\pi^+$p and K$^+$p Collisions at 250 GeV/$c$

TL;DR

This paper demonstrates that multiparticle production in high-energy $^+$p and K$^+$p collisions exhibits self-affine scaling behavior, using factorial-moment analysis with non-integer phase space partitions, revealing a specific scaling exponent.

Contribution

It introduces a factorial-moment analysis with non-integer phase space partition to identify self-affine scaling in high-energy particle collisions, a novel approach in this context.

Findings

Evidence for self-affine rather than self-similar scaling

Determination of the 3D second-order scaling exponent as 0.061±0.010

Application of non-integer phase space partition in factorial-moment analysis

Abstract

A factorial-moment analysis with real (integer and non-integer) phase space partition is applied to $\pi^+$p and K$^+$p collisions at 250 GeV/$c$. Clear evidence is shown for self-affine rather than self-similar power-law scaling in multiparticle production. The three-dimensional self-affine second-order scaling exponent is determined to be 0.061$\pm$0.010.