Pade Interpolation: Methodology and Application to Quarkonium

Abstract

A novel application of the Pade approximation is proposed in which the Pade approximant is used as an interpolation for the small and large coupling behaviors of a physical system, resulting in a prediction of the behavior of the system at intermediate couplings. This method is applied to quarkonium systems and reasonable values for the c and b quark masses are obtained.Comment: RevTeX, 12 pages; 1 figure (Figure1.GIF) included at the end; to appear in the Journal of Mathematical Physic