LOWER-BOUND TO THE PION POLARIZABILITY FROM QCD SUM-RULES

Making use of QCD sum rules a lower bound is found which relates the e lectromagnetic polarizability alpha(E) and mean-square radius [r(pi)(2 )] of charged pions through the intrinsic polarizability <(alpha)over tilde(E)> = alpha(E) - alpha[r(pi)(2)]/(3M(pi)). We find that if prese nt constraints on the QCD continuum (duality) threshold are accepted, this lower bound on the intrinsic polarizability <(alpha)over tilde(E) > is incompatible with some previous determinations of alpha(E) and [r (pi)(2)].