KNO scaling function of modified negative binomial distribution

1996/11/18 by N. Nakajima, Nakajima, N., M. Biyajima +4
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Stochastic processes and statistical mechanics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9611349

16 pages, Latex, 13 figures. To appear Phys. Rev. D

arxiv created 1996/11/18 · openalex publication_date 1996/11/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the KNO scaling function of the modified negative binomial distribution (MNBD), because this MNBD can explain the oscillating behaviors of the cumulant moment observed in e⁺e^- annihilations and in hadronic collisions. By using a straightforward method and the Poisson transform we derive the KNO scaling function from the MNBD. The KNO form of experimental data in e⁺e^- collisions and hadronic collisions are analyzed by the KNO scaling function of the MNBD and that of the negative binomial distribution (NBD). The KNO scaling function of the MNBD describes the data as well as that of the NBD.

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