Hadronic Couplings Via QCD Sum Rules Using Three-Point Functions: Vacuum Susceptibilities

We develop a three-point formalism to treat vacuum susceptibilities used for the coupling of currents to hadrons within the method of QCD Sum Rules. By introducing nonlocal condensates, with the space-time structure taken from fits to experimental parton distrbutions, we show that one can treat hadronic coupling at zero or low momentum transfer as well as medium and asmptotic momentum transfers and obtain a general expression for the vacuum susceptibilities of the two-point formalism. The pion susceptibility, for which there has been a major uncertainty, is evaluated successfully with no new parameters.