Scaling in energy dependence of relative particle production rates and peak position of ξ distributions in e+e− annihilations

With the production rates, 〈npart〉, of the K0, K+, p and Λ and average charged particle multiplicities, 〈nch〉, recently measured at LEP1.5–LEP2, scaling of the relative particle production rates 〈npart〉/〈nch〉 is seen in a broad center of mass energy range from s = 29–35 to 183 GeV. The quantity ξ0/〈nch〉1/2, where ξ0 is the position of the maximum of the ξ=−ln(2p/s) distribution and p is the particle momentum, also scales from 14 to 183 GeV. It is shown that the gaussian shape of the ξ distribution is a simple consequence of longitudinal phase space. The slope parameter in the logarithmic increase of ξ0 with the center of mass energy must be smaller than 1, as observed experimentally, but this does not necessary imply a manifestation of coherence.