Abstract
Relations determining the shift of energies and widths of scattering resonances are obtained within the method of evolution in the coupling constant. These relations generalize the well-known relations for the shift of levels in a discrete spectrum. The problem of determining the Coulomb shifts of low-energy resonances manifesting themselves in the cross section for the scattering of some light nuclei is solved. Examples that are of importance for nuclear astrophysics and examples of problems that are associated with the production of chemical elements are considered. The character of Coulomb shifts is studied within simple nuclear models. Respective numerical estimates are given, which agree satisfactorily with experimental data.