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The Breith-Wheeler resonant process has been theoretically studied in astrong X-ray electromagnetic wave field under conditions when the energy of oneof the initial high-energy gamma quanta passes into the energy of a positron orelectron. These resonant conditions have been studied in detail. Analyticalformulas for the resonant differential cross-section of channels A and B of thereaction are obtained. It is shown that the resonant differential cross-sectionsignificantly depends on the value of the characteristic Breit-Wheeler energy,which is determined by the parameters of the electromagnetic wave and theinitial gamma quanta. With a decrease in the characteristic Breit-Wheelerenergy, the resonant cross-section increases sharply and may exceed thecorresponding non-resonant cross-section by several orders of magnitude.

The generation of high-energy electron-positron pairs during the Breit-Wheeler resonant process in a strong field of an X-ray electromagnetic wave