Dielectronic recombination with one-electron highly charged ions

The line-profile approach is applied to the evaluation of the electron recombination on highly charged ions within the framework of QED. Both dielectronic recombination and radiative recombination processes are considered. The interelectron interaction is taken into account partly to all orders of the QED perturbation theory. The radiative corrections to the lowest order (electron self-energy and the vacuum polarization) are also included. With this approach, the most accurate contemporary results for the electron recombination cross section on the one-electron uranium and gadolinium ions are obtained.