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Generalised Tsallis Statistics in Electron-Positron Collisions

arXiv:1101.3023 · doi:10.1016/j.physletb.2011.03.073

Abstract

The scaling of charged hadron fragmentation functions to the Tsallis distribution for $0.01 \lessapprox x \lessapprox 0.2$ 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 $x\approx1$. The proposal is based on superstatistics and a $KNO$ like scaling of multiplicity distributions in $e^+e^-$ experiments.

9 pages, 18 figures