[en] Meson and baryon operators on the light cone are studied which reproduce the well-known parton distribution amplitudes as matrix elements between the vacuum and a one-meson (baryon) state. Earlier papers results to the case of the quark-gluon mixing which is relevant for the description of a flavour-singlet meson. The anomalous dimensions of the considered nonlocal light-cone operators are calculated explicitly in the one-loop approximation. The evolution kernels for meson and baryon wave functions derived earlier by different methods are reconstructed. These results reinforce earlier arguments that the standard local operator product expansion may be superseded by an expansion in terms of nonlocal light-cone operators