Resonance of the exchange amplitude of a photon by an electron scattering in a pulsed laser field

Abstract

Resonant scattering of a photon by an electron in the presence of the field of the low intensity circularly polarized pulsed laser wave is studied theoretically. The approximation used the case in which a laser-pulse duration is significantly greater than the characteristic oscillation time. The resonance conditions of the exchange diagrams by electron and positron intermediate states were determined. The probability of such a process is calculated. It is demonstrated that the resonant probability may be six to ten orders of magnitude higher than the probability of the Compton effect in the absence of the external field. Obtained results can be verified experimentally in the framework of modern research projects (SLAC, FAIR, XFEL, and ELI).

Absorption cross section in an intense plane wave background

“…For applications of this method to various processes see [30][31][32][33], and for comparisons of calculations in Lorentz/lightfront gauges see [34,35]. The presence of the phase derivative Φ (see (17)) in the denominator of (19) complicates final state integrations, however, and it would be useful to have a simpler, equivalent expression before proceeding. For pulses with no DC components the regulated expression in (19) is exactly equal to…”

“…The presence of the phase derivative Φ (see (17)) in the denominator of ( 19) complicates final state integrations, however, and it would be useful to have a simpler, equivalent expression before proceeding. For pulses with no DC components the regulated expression in (19) is exactly equal to…”

“…(See e.g. [12][13][14][15][16][17][18][19] for other processes.) To our knowledge absorption has not been considered in detail for pulsed laser fields (though for the constant field case see [20], and below).…”

Self-absorption of synchrotron radiation in a laser-irradiated plasma

“…Emission of a photon by an electron, followed by absorption of that photon by another electron, may be viewed as the component of Møller scattering (ee → ee, in a strong field) in which the intermediate photon is real. A complete treatment of electron-electron scattering in a background field would include off-shell and interference contributions; this has been done for monochromatic [35][36][37][38] and pulsed electromagnetic waves [39] at low intensity a 0 1, with particular focus on resonances in the transition amplitude. These resonances occur when the intermediate photon goes on shell, which significantly enhances the interaction probability over its value in vacuum.…”

Self-absorption of synchrotron radiation in a laser-irradiated plasma

“…ee, in a strong field) in which the intermediate photon is real. A complete treatment of electron-electron scattering in a background field would include off-shell and interference contributions; this has been done for monochromatic [36][37][38][39] and pulsed electromagnetic waves 40 at low intensity a 0 Շ1, with particular focus on resonances in the transition amplitude. These resonances occur when the intermediate photon goes on shell, which significantly enhances the interaction probability over its value in vacuum.…”