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Experimental data on the shape of hadronic momentum spectra are compared totheoretical predictions in the context of calculations in the Modified LeadingLog Approximation (MLLA), under the assumption of Local Parton Hadron Duality(LPHD).  Considered are experimental measurements at $e^+e^-$-colliders of $\xi_p^*$,the position of the maximum in the distribution of $\xi_p=\log(1/x_p)$, where$x_p=p/p_{beam}$. The parameter $\xi_p^*$ is determined for various hadrons atvarious centre of mass energies. The dependence on the hadron type poses someinteresting questions about the process of hadron-formation. The dependence of$\xi^*_p$ on the centre of mass energy is seen to be described adequately byperturbation theory. A quantitative check of LPHD + MLLA is possible byextracting a value of $\alpha_s$ from an overall fit to the scaling behaviourof $\xi^*_p$.Comment: 9 pages latex, 7 eps figures and total ps fil

Experimental momentum spectra of identified hadrons ate + e ? colliders compared to QCD calculations