UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2011 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Electron distribution in non-linear Compton scattering


Authors:
M. Boca, V. Dinu, A. Oprea, V. Florescu


Affiliation:
Centre for Advanced Quantum Physics, University of Bucharest


E-mail
madalina.boca@g.unibuc.ro


Keywords:
non-linear Compton effect, Volkov solutions


Abstract:
We study the scattering of charged particles on very intense electromagnetic radiation (non-linear Compton effect). We use a semiclassical approach, in which the laser is treated classically, as a plane wave monochromatic field, and the emitted photon is described by a quantized field. The electron dressed by the laser field is treated, in the framework of relativistic quantum mechanics, by Volkov solutions of the Dirac equation and the interaction with the quantized electromagnetic field is treated in the first order perturbation theory. In this theoretical framework the fully differential distribution probability, corresponding to the case when both the final electron and the emitted photon are detected is expressed as an infinite series of terms consisting of four dimensional delta functions multiplied by generalized Bessel functions. By integrating over the attributes of one of the final particles one is left with a series of one-dimensional delta functions, each term is interpreted as describing the process in which a fixed number of laser photons is absorbed. In the present work we study the final electron distribution in its dependence on the initial parameters (electron energy and direction, laser field intensity). By contrast with the previous studies in the literature we take as parameters the energy and direction of the asymptotic free electron, instead of those of the electron dressed by the laser. We discuss the relation between the two approaches and present several numerical examples illustrating our theoretical results. Acknowledgments: For M. Boca this work was supported by the strategic grant POSDRU/89/1.5/S/58852, Project ”Postdoctoral programme for training scientific researchers” co-financed by the European Social Found within the Sectorial Operational Program Human resources Development 2007-2013.