Formalism for the full relativistic treatment of the spectral
and angular distributions of the bremsstrahlung formed in
collision of a charged particle with an atom is developed. Both
leading mechanisms of the radiation formation, i.e. the ordinary
and the polarizational bremsstrahlung, are incorporated into the
scheme. Limiting cases of the general formulae are investigated
in detail and it is demonstrated that the general formalism
reproduces correctly the results of these simpler theories.
We extend the method introduced recently by Korol for the
approximate calculation of the compound relativistic free-free matrix
elements.
The method is based on the accurate treatment of the diagonal
singularities in the one-photon relativistic matrix elements, which
appear in the compound matrix element.
For the case of relativistic projectile scattering in the field of
a short-range potential we present
the evaluation of the singular parts of the free-free
single-photon matrix elements.
The result is used to treat approximately the amplitude of the
two-photon bremsstrahlung (2BrS) process for the relativistic
electron. This is done for the first time.
A formalism for the full relativistic treatment of the polarizational bremsstrahlung formed in collision of a charged particle with a many-electron target is developed. The multipole series for amplitude and cross section are evaluated. The presented results of numerical computation of polarizational bremsstrahlung cross sections and angular distributions show the importance of the relativistic and higher-multipole effects in the case of relativistic collision with a high-Z target. The logarithmic growth of relativistic cross section with increasing incident energy is demonstrated. The calculations are performed on the basis of the nonrelativistic and relativistic algorithms and compared with each other and with available experimental data.
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