Remarks on Koba-Nielsen-Olesen Scaling

Abstract

It is shown that there is a second properly normalized KNO scaling function, $nP_n(n/\bar n)=φ(z)$, which has certain advantages in the analysis of KNO scaling. First, the $nP_n$ are not influenced by the statistical and systematic uncertainties of $\bar n$ hence $φ(z)$ provides more selective power than the original KNO scaling function $\bar nP_n(n/\bar n)=ψ(z)$. Second, the new scaling function generates scale parameter $σ=1$ since it depends only on the combination of $z$ and the scale parameter of $ψ(z)$. An analysis of $φ(z)$ is given using $e^+e^-$ annihilation data for charged particle multiplicity distributions.