Complete treatment of single-photon emission in planar channeling

Abstract

Approximate solutions of the Dirac equation are found for ultrarelativistic particles moving in a periodic potential, which depends only on one coordinate, transverse to the largest component of the momentum of the incoming particle. As an example we employ these solutions to calculate the radiation emission of positrons and electrons trapped in the planar potential found between the (110) planes in Silicon. This allows us to compare with the semi-classical method of Baier, Katkov and Strakhovenko, which includes the effect of spin and photon recoil, but neglects the quantization of the transverse motion. For high-energy electrons, the high-energy part of the angularly integrated photon energy spectrum calculated with the found wave functions differs from the corresponding one calculated with the semi-classical method. However, for lower particle energies it is found that the angularly integrated emission energy spectra obtained via the semi-classical method is in fairly good agreement with the full quantum calculation except that the positions of the harmonic peaks in photon energy and the photon emission angles are shifted.

References in corpus (5)

• Nonlinear Compton scattering in ultra-short laser pulses
• Non-Linear Compton Scattering of Ultrashort and Ultraintense Laser Pulses
• Nonlinear double Compton scattering in the full quantum regime
• Crystalline Undulator with a Small Amplitude and a Short Period
• Experimental investigations of synchrotron radiation at the onset of the quantum regime

Cited by in corpus (6)

• Advances in QED with intense background fields
• All-atom relativistic molecular dynamics simulations of channeling and radiation processes in oriented crystals
• Numerical approach to the semiclassical method of radiation emission for arbitrary electron spin and photon polarization
• Testing strong-field QED with the avalanche precursor
• Atomistic modelling of the channeling process with radiation reaction force included
• On the status of channeling radiation and laser based radiation sources