Generalised Tsallis Statistics in Electron-Positron Collisions

Abstract

The scaling of charged hadron fragmentation functions to the Tsallis distribution for $0.01⪅x⪅0.2$ is presented for various $e^{+}{e}^{-}$ collision energies. A possible microcanonical generalisation of the Tsallis distribution is proposed, which gives good agreement with measured data up to $x\approx 1$. The proposal is based on superstatistics and a $KNO$ like scaling of multiplicity distributions in $e^{+}{e}^{-}$ experiments.

Comments: 9 pages, 18 figures