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

Abstract

We apply the nonlocal condensate formalism to construct generalized sum rules (including $O(\as)$-radiative corrections) for $π$-, $ρ$- and $ρ'$-meson wave functions of twist 2. Besides, we predict the lepton decay constant $f_{ρ'}$ and estimate the mass of $ρ'$-meson. For all these mesons we obtain the first 10 moments of longitudinal wave functions, suggest the models for them and discuss their properties. We consider the peculiarities of the QCD sum rules with nonlocal condensates for transverse $ρ$- and $b_1$-meson wave functions. These results are compared with those found by Ball and Braun and by Chernyak and Zhitnitsky.