Implications of the Chou-Yang model fore+e−→hh¯

Abstract

Analyses of ${P}_{\ensuremath{\perp}}$ and x,z distributions of inclusive ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$\ensuremath{\rightarrow}hh\ifmmode\bar\else\textasciimacron\fi{} from experiments at the SLAC storage ring PEP at 29 GeV confirm that there is only one temperature T=196\ifmmode\pm\else\textpm\fi{}7 MeV of ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ annihilation for various hadrons, as predicted by Chou and Yang. It is found that T\ensuremath{\propto}${E}^{1/4}$ according to the TASSO data; its relationship with the impact parameter b sets a lower limit (for b=0) ${T}_{0}$\ensuremath{\sim}106 MeV related to the effective light-quark mass ${m}_{q}$=3,${T}_{0}$\ensuremath{\simeq}318 MeV. Hadron multiplicities from PEP experiments, covering \ensuremath{\sim}3 orders of magnitude, are accounted for by a semiempirical formula derived from the Boltzmann factor with quark contents and a unique temperature T=196 MeV for all hadrons under investigation.