An investigation of the polar angle distribution of charged hadrons is presented using data taken by the JADE experiment at the PETRA e^+e^- collider at centre-of-mass energies of 35 and 44 GeV. From fits to the polar angle distribution the longitudinal, sigma_L, and transverse, sigma_T, cross-section relative to the total hadronic are determined at an average energy scale of 36.6 GeV. The results are sigma_L/sigma_tot = 0.067 +/- 0.013, sigma_T/sigma_tot = 0.933 -/+ 0.013 where total errors are given and the results are exactly anti-correlated. Using the next-to-leading order QCD prediction for the longitudinal cross-section, the value alpha_S(36.6 GeV) = 0.150 +/- 0.025 of the strong coupling constant is obtained in agreement with the world average value of alpha_S evolved to an energy scale of 36.6 GeV.
The distribution oF Q*COS(THETA) where Q is the charge of the individual hadron and THETA is the polar angle between the direction of the incoming E- beam and the outgoing hadron. The data are corrected for detector effects.
Value of the longitudinal cross section relative to the total cross section.
Value of the strong coupling constant ALPHAS deduced from the measurements. The second DSYS error is the uncertainty on the renormalisation scale.
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