Relativistic corrections for the scattering matrix for spherically symmetric potentials

We use the framework for the nonrelativistic limit of scattering theory for abstract Dirac operators developed in [5] to prove holomorphy of the scattering matrix at fixed energy with respect to c−2 for Dirac operators with spherically symmetric potentials. Relativistic corrections of order c−2 to the nonrelativistic limit partial wave scattering matrix are explicitly determined.