Abstract
Dipole series in H${}^{\ensuremath{-}}$ and in the positron-hydrogen system are studied in a coupled-channel calculation, in which the short-range part of the interaction between the electron or positron and the excited hydrogen core is modeled by a local potential, adjusted to reproduce low-lying states of the respective series. Consideration of the fine-structure splitting and radiative corrections enables us to describe the termination of the series towards the nondegenerate threshold. For the ${}^{1}{S}^{e}$ series below the $N=2$ threshold we give quantitative predictions for the number of resonances and their energies.
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