Relativistic Electron and Positron Scattering by Atoms Using Thermal Field Dynamics
Temperature, Thermal Field Dynamics, Scattering, Differential Shock Section.
In this work, we use the Fock space structure to apply thermal field dynamics (TFD - Thermofield Dynamics) in relativistic scattering theory. We start from Dirac's equation as describing a field of relativistic matter; the Fock space structure was applied to the original system and its dual; the Bogoliubov transformation is used to determine the scattering matrix at finite temperature. With this formulation we determine expressions for the differential cross sections (DCS – Differential Cross Section) of the relativistic electron and p ositron scattering processes by atoms at finite temperature, and we perform calculations using these expressions. For the correction of the electrostatic potential we use an analytical shielding function based on the superposition of Yukawa-type potentials. We obtained that the influence of temperature is presented as a correction to the description at zero temperature. This correction has a value of one for temperature equal to zero and tends to a constant value (0.0625) when the temperature tends to infinity; in this limit, the thermal DCS is 16 times smaller than the DCS at zero temperature, a result compatible with data obtained by other authors in the analysis of other systems.