Pade Interpolation: Methodology and Application to Quarkonium
C.N. Leung, J.A. Murakowski (U. of Delaware)
TL;DR
This paper introduces a novel Pade approximation method for interpolating between small and large coupling behaviors in physical systems, successfully applied to quarkonium to estimate quark masses.
Contribution
It presents a new application of Pade approximation as an interpolation tool for physical systems with varying coupling strengths, specifically applied to quarkonium.
Findings
Estimated quark masses for c and b quarks.
Validated Pade interpolation for physical systems.
Demonstrated effectiveness in quarkonium modeling.
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.
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