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Title: PHOTON ASYMMETRY IN THE BREMSSTRAHLUNG OF TRANSVERSELY POLARIZED ELECTRONS

Abstract

There is a left-right asymmetry in the bremsstrahlung emitted by transversely polarized electrons analogous to the left-right asymmetry in Mott scattering. The magnitude of this effect has been calculated from the second Born approximation, where it appears in the cross terms between the matrix elements of order Ze/sup 3/ and these of order Z/sup 2/e/sup 5/. Principal contributions come from the Feynman diagram in which the photon is emitted between the Coulomb interactions with the nucleus, while the largest terms from the diagrams with the photon emitted before or after both Coulomb interactions are of relative order v/c compared to the principal terms. The contributions of all three diagrams to relative order (v/c)/sup 2/ are included in the final result. As is the case in Mott scattering, the asymmetry in bremsstrahlung depends only on intermediate states which lie on the energy shell. The reason for this has not been investigated here. It does not seem feasible to integrate the cross section over electron momenta analytically. In order to reduce geometric complexity, the calculation is performed in detail for forward electron momentum. The matrix elements for this case are listed explicitly so that other polarizationdependent effects may be conveniently calculated. Anmore » outline of the evaluation of the integrals which appear, and a discussion of the divergences associated with the no-cutoff limit of the Coulomb field, as they apply to bremsstrahlung, are included. (auth)« less

Authors:
;
Publication Date:
Research Org.:
Univ. of Pittsburgh
OSTI Identifier:
4745193
NSA Number:
NSA-17-006978
Resource Type:
Journal Article
Journal Name:
Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
Additional Journal Information:
Journal Volume: Vol: 129; Other Information: Orig. Receipt Date: 31-DEC-63
Country of Publication:
Country unknown/Code not available
Language:
English
Subject:
PHYSICS; BORN APPROXIMATION; PERTURBATION THEORY; SCATTERING

Citation Formats

Sobolak, E S, and Stehle, P. PHOTON ASYMMETRY IN THE BREMSSTRAHLUNG OF TRANSVERSELY POLARIZED ELECTRONS. Country unknown/Code not available: N. p., 1963. Web. doi:10.1103/PhysRev.129.403.
Sobolak, E S, & Stehle, P. PHOTON ASYMMETRY IN THE BREMSSTRAHLUNG OF TRANSVERSELY POLARIZED ELECTRONS. Country unknown/Code not available. https://doi.org/10.1103/PhysRev.129.403
Sobolak, E S, and Stehle, P. 1963. "PHOTON ASYMMETRY IN THE BREMSSTRAHLUNG OF TRANSVERSELY POLARIZED ELECTRONS". Country unknown/Code not available. https://doi.org/10.1103/PhysRev.129.403.
@article{osti_4745193,
title = {PHOTON ASYMMETRY IN THE BREMSSTRAHLUNG OF TRANSVERSELY POLARIZED ELECTRONS},
author = {Sobolak, E S and Stehle, P},
abstractNote = {There is a left-right asymmetry in the bremsstrahlung emitted by transversely polarized electrons analogous to the left-right asymmetry in Mott scattering. The magnitude of this effect has been calculated from the second Born approximation, where it appears in the cross terms between the matrix elements of order Ze/sup 3/ and these of order Z/sup 2/e/sup 5/. Principal contributions come from the Feynman diagram in which the photon is emitted between the Coulomb interactions with the nucleus, while the largest terms from the diagrams with the photon emitted before or after both Coulomb interactions are of relative order v/c compared to the principal terms. The contributions of all three diagrams to relative order (v/c)/sup 2/ are included in the final result. As is the case in Mott scattering, the asymmetry in bremsstrahlung depends only on intermediate states which lie on the energy shell. The reason for this has not been investigated here. It does not seem feasible to integrate the cross section over electron momenta analytically. In order to reduce geometric complexity, the calculation is performed in detail for forward electron momentum. The matrix elements for this case are listed explicitly so that other polarizationdependent effects may be conveniently calculated. An outline of the evaluation of the integrals which appear, and a discussion of the divergences associated with the no-cutoff limit of the Coulomb field, as they apply to bremsstrahlung, are included. (auth)},
doi = {10.1103/PhysRev.129.403},
url = {https://www.osti.gov/biblio/4745193}, journal = {Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D},
number = ,
volume = Vol: 129,
place = {Country unknown/Code not available},
year = {Tue Jan 01 00:00:00 EST 1963},
month = {Tue Jan 01 00:00:00 EST 1963}
}