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The magnificent development of strong X-ray lasers motivates the advancementof pair production process studies into higher laser frequency region. In thispaper, a resonant electron-positron pair production process with the absorptionof two X-ray photons is considered in the impact of an energetic electron atthe overlap region of two colliding X-ray laser beams. Laser-dressed QED methodis justified to tackle the complexity of the corresponding multiple Feynmandiagrams calculation. The dependence of the production rate as well as thepositron energy distribution on the relative angles among the directions of thetwo laser wave vectors and the incoming electron momentum is revealed. It isshown that the non-plane wave laser field configuration arouses novel featuresin the pair production process compared to the plane-wave case.

Trident Pair Production in Colliding Bright X-ray Laser Beams