Abstract

The Faddeev integral equations for the total singlet and triplet amplitude in the elastic e−H scattering are studied rigorously in the space of continuous functions at high and intermediate energies. Their solution is first proved to be unique and then evaluated by the method of successive approximations. To improve the convergence rate of the perturbative series obtained, a convergent sequence of Pade approximants is used. The scattering amplitudes are calculated numerically up to the sixth perturbative order.

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