Abstract

The interaction of two electrons and two positrons in the field of two strong pulsed laser waves outside the framework of the dipole approximation (with an accuracy of relativistic corrections v/c) has been studied theoretically. The possibility of significant asymmetry in the interactions of particles and antiparticles in the external laser fields is shown. This asymmetry of interactions essentially depends on the magnitude and sign of the phase shifts of the waves relative to each other, and also on the intensities of the waves. The ranges of phase shifts and field intensities in which the interaction of electrons and positrons have qualitatively different character from anomalous repulsion to attraction are determined.

Highlights

  • There are many works devoted to research of interaction of electrons in the presence of an electromagnetic field

  • In contrast to the previous papers, the effective interaction of two electrons and two positrons in the American Journal of Modern Energy 2017; 3(4): 65-72 field of mutually perpendicular strong laser waves is studied with allowance for their phase shifts of the pulses

  • For identical initial conditions and wave parameters, if the oscillation velocity of second wave is much larger than the initial velocity of particles and phase shifts of the waves have different signs, the effective interaction of two electrons and two positrons is appeared in their anomalous repulsion

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Summary

Introduction

There are many works devoted to research of interaction of electrons in the presence of an electromagnetic field (see, the works [1,2,3,4,5,6,7,8,9]). The theoretical proof of the attraction possibility was given by Kazantsev and Sokolov for interaction of classical relativistic electrons in the field of a plane wave [5]. It is worth noting the work [6] . Influence of pulsed field of two co-propagating laser waves on the effective force of interaction of two electrons and two identically charged heavy nuclei was studied in [8]. In contrast to the previous papers, the effective interaction of two electrons and two positrons in the American Journal of Modern Energy 2017; 3(4): 65-72 field of mutually perpendicular strong laser waves is studied with allowance for their phase shifts of the pulses. The obtained results can be used for experiments in the framework of modern research projects, where the sources of pulsed laser radiation are used (SLAC, FAIR) [10,11,12]

Equations of Particles Interaction in Pulsed Field of Two Laser Waves
Anomalous Repulsion
The Effective Slowing-Down of Particles
Conclusion
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