1996/06/13 by NA22 Collaboration, N. M. Agababyan, M. Atayan +25 · 1 citation
Mathematics · Physics and Astronomy · #Affine transformation #High-Energy Particle Collisions Research #Mathematics #Nuclear physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Statistical physics #hep-ex
paper · pdf · doi:10.1016/0370-2693(96)00749-6
published as Phys.Lett. B382 (1996) 305-311 · 10 pages and 4 figures
arxiv created 1996/06/13 · openalex publication_date 1996/08/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Taking into account the anisotropy of phase space in multiparticle production, a self-affine analysis of factorial moments was carried out on the NA22 data for \p+\Pp and \PK+\Pp collisions at 250 GeV/c. Within the transverse plane, the Hurst exponents measuring the anisotropy are consistent with unit value (i.e. no anisotropy). They are, however, only half that value when the longitudinal direction is compared to the transverse ones. Fractality, indeed, turns out to be self-affine rather than self-similar in multiparticle production. In three-dimensional phase space, power-law scaling is observed to be better realized in self-affine than in self-similar analysis.