Complex energies from real perturbation series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants

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Abstract
The resonance energies for the hydrogen atom in an electric field, both the real and imaginary parts, have been calculated together from the real Rayleigh-Schrödinger perturbation series by Borel summation. Padé approximants were used to evaluate the Borel transform. The numerical results compare well with values obtained by the complex-coordinate variational method and by sequential use of Padé approximants.