The $ρ$-meson and related meson wave functions in QCD sum rules with nonlocal condensates

We apply the nonlocal condensate formalism and construct generalized sum rules (including $O(\as)$-radiative corrections) for $\pi$-, $\rho$- and $\rho'$-meson wave functions of twist 2. As a byproduct we predict the lepton decay constant $f_{\rho'}$ and estimate the mass of $\rho'$-meson. For all these mesons we obtain the first 10 moments of longitudinal wave functions, suggest the models for the last and discuss their properties. We also discuss the pecularities of the QCD sum rules with nonlocal condensates for the transversal $\rho$- and $b_1$-meson wave functions. These results are compared with those of Ball and Braun and of Chernyak and Zhitnitsky.