We analyse the bound states of negatively charged ions which were predicted to exist because of the presence of a magnetic field by Avron et al. [J.E. Avron, I.W. Herbst, and B. Simon, Commun. Math. Phys. 79, 529 (1981)]. We confirm that the number of such states is infinite in the approximation of an infinitely heavy nucleus and provide insight into the underlying physical picture by means of a combined adiabatic and perturbation theoretical approach. We also calculate the corresponding binding energies which are qualitatively different for the states with vanishing and non-vanishing angular momentum. An outlook on the case of including center of mass effects is presented.

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