Nonlinear trident pair production in an arbitrary plane wave: a focus on the properties of the transition amplitude

Abstract

The process of nonlinear electron-positron pair production by an electron colliding with an arbitrary plane wave electromagnetic field (nonlinear trident pair production) is studied analytically and numerically. Special emphasis is put on the properties of the transition amplitude. In fact, its original expression as resulting from applying the Wick's theorem turns out to be divergent and not to manifestly fulfill gauge invariance. By restoring the latter, the amplitude is regularized and investigated in different regimes. In particular, the amplitude is divided into a two-step and a one-step contributions, depending on the scaling dependence on the laser pulse duration. The corresponding contributions to the positron angular distribution spectra and the resulting interference terms are studied numerically emphasizing the possibility of measuring experimentally the contribution of the one-step contribution.

21 pages, 6 figures

References in corpus (6)

• Trident pair production in strong laser pulses
• Nonlinear double Compton scattering in the full quantum regime
• Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity
• First-order strong-field QED processes in a tightly focused laser beam
• The effect of interference on the trident process in a constant crossed field
• Nonperturbative Bethe-Heitler pair creation in combined high- and low-frequency laser fields

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