CONFORMAL MAPPING, POWER CORRECTIONS, AND THE QCD BOUND-STATE-SPECTRUM

We analyze the heavy quark bound state spectrum using an order-depende nt conformal mapping to re-sum the perturbative expansion for current correlators. The procedure consists of two main steps. Firstly, the Bo rel plane structure of the truncated perturbative expression is modifi ed to ensure consistency with the operator product expansion. This is analogous to a resummation of infrared renormalon chains. Secondly, th is perturbative expansion is conformally mapped to a new series with i mproved convergence properties. This approach may be shown to induce p ower corrections consistent with existing condensates, and the resulti ng expansion may be ordered in powers of an infrared-analytic effectiv e coupling. The technique is then applied to c (c) over bar and b (b) over bar sum rules without any explicit introduction of vacuum condens ate parameters. Ground state masses for the vector, axial-vector and A ' channels are well reproduced, while results for the scalar-pseudosca lar mass splitting are less impressive.