Abstract
A uniformization technique is used to compute elastic scattering amplitudes at energies where arbitrarily many channels are open. The method takes knowledge of the Fredholm determinant $D(z)$ on the physical sheet and uses rational-fraction analytic continuation to continue $D(z)$ onto the appropriate Riemann sheet to construct the elastic amplitude and total inelasticity. Numerical examples for two-, three-, and four-channel problems are given, and preliminary results which indicate that the method may be of use in the breakup region are presented.
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