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 (15)

• Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam
• Experimental signatures of the quantum nature of radiation reaction in the field of an ultra-intense laser
• Nonlinear Compton scattering in ultra-short laser pulses
• Non-Linear Compton Scattering of Ultrashort and Ultraintense Laser Pulses
• Experimental Evidence of Quantum Radiation Reaction in Aligned Crystals
• Nonlinear double Compton scattering in the full quantum regime
• Double Compton scattering in a constant crossed field
• Single and double nonlinear Compton scattering
• Crystalline Undulator with a Small Amplitude and a Short Period
• Experimental investigations of synchrotron radiation at the onset of the quantum regime
• Investigation of classical radiation reaction with aligned crystals
• Simulation of Channeling and Radiation of 855 MeV Electrons and Positrons in a Small-Amplitude Short-Period Bent Crystal
• Structure of the channeling electrons wave functions under dynamical chaos conditions
• The impact of the quantized transverse motion on radiation emission in a Dirac harmonic oscillator
• On the quantum interpretation of the classical Schott term in the theory of radiation damping

Cited by in corpus (10)

• Advances in QED with intense background fields
• Quantum radiation reaction in aligned crystals beyond the local constant field approximation
• All-atom relativistic molecular dynamics simulations of channeling and radiation processes in oriented crystals
• Numerical approach to the semiclassical method of pair production for arbitrary spins and photon polarization
• Numerical approach to the semiclassical method of radiation emission for arbitrary electron spin and photon polarization
• Channeling of electrons and positrons in straight and periodically bent diamond(110) crystals
• Investigation of two photon emission in strong field QED using channeling in a crystal
• Atomistic modelling of the channeling process with radiation reaction force included
• Testing strong-field QED with the avalanche precursor
• On the status of channeling radiation and laser based radiation sources