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Double bremsstrahlung from high-energy electron in the atomic field

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arxiv 1504.00765 v1 pith:3VD4AL3C submitted 2015-04-03 hep-ph nucl-thphysics.atom-ph

Double bremsstrahlung from high-energy electron in the atomic field

classification hep-ph nucl-thphysics.atom-ph
keywords bremsstrahlungcrossdifferentialfieldsectioncorrectionscoulombdouble
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The differential cross section of double bremsstrahlung from high-energy electron in the electric field of heavy atoms is derived. The results are obtained with the exact account of the atomic field by means of the quasiclassical approximation to the wave functions and the Green's function in the external field. It is shown that the Coulomb corrections to the differential cross section (the difference between the exact result and the result obtained in the leading Born approximation) correspond to small momentum transfers. The Coulomb corrections to the differential cross section of double bremsstrahlung are accumulated in the factor, which coincides with the corresponding factor in the differential cross section of single bremsstrahlung. At small momentum transfer, this factor is very sensitive to the parameters of screening while the Coulomb corrections to the spectrum have the universal form.

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