Self-similarity of proton spin and z-scaling

TL;DR

This paper extends the z-scaling framework to polarized proton collisions, proposing a self-similarity hypothesis for proton spin structure and analyzing RHIC data to estimate spin-dependent fractal dimensions.

Contribution

It introduces a novel application of z-scaling to polarized processes and discusses the extraction of spin-dependent fractal dimensions from experimental data.

Findings

Estimated the spin-dependent fractal dimension of the proton.

Analyzed RHIC data on A_{LL} and D_{LL} within the z-scaling framework.

Supported the hypothesis of self-similarity in proton spin structure.

Abstract

The concept of z-scaling previously developed for analysis of inclusive reactions in proton-proton collisions is applied for description of processes with polarized particles. Hypothesis of self-similarity of the proton spin structure is discussed. The possibility of extracting information on spin-dependent fractal dimensions of hadrons and fragmentation process from the cross sections and asymmetries is justified. The double longitudinal spin asymmetry A_{LL} of jet and pi0-meson production and the coefficient of polarization transfer D_{LL} measured in proton-proton collisions at sqrt s = 200 GeV at RHIC are analyzed in the framework of z-scaling. The spin-dependent fractal dimension of proton is estimated.