KNO scaling function of modified negative binomial distribution

Details KNO scaling function of modified negative binomial distribution KNO scaling function of modified negative binomial distribution

1996-11-18

arxiv.org/abs/hep-ph/9611349v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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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