Experimental data on the shape of hadronic momentum spectra are compared to
theoretical predictions in the context of calculations in the Modified Leading
Log Approximation (MLLA), under the assumption of Local Parton Hadron Duality
(LPHD).
Considered are experimental measurements at e+e−-colliders of ξp∗,
the position of the maximum in the distribution of ξp=log(1/xp), where
xp=p/pbeam. The parameter ξp∗ is determined for various hadrons at
various centre of mass energies. The dependence on the hadron type poses some
interesting questions about the process of hadron-formation. The dependence of
ξp∗ on the centre of mass energy is seen to be described adequately by
perturbation theory. A quantitative check of LPHD + MLLA is possible by
extracting a value of αs from an overall fit to the scaling behaviour
of ξp∗.Comment: 9 pages latex, 7 eps figures and total ps fil