Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...362..284g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 362, Oct. 10, 1990, p. 284-298.
Astronomy and Astrophysics
Astrophysics
24
Charged Particles, Coulomb Potential, Multipolar Fields, Photons, Polarized Radiation, Scattering Cross Sections, Born Approximation, Electron Energy, Plane Waves, Quantum Electrodynamics, Quantum Mechanics
Scientific paper
This paper formulates the general problem of photon emission in particle scattering using a classical and quantum mechanical approach. The connection between the classical short collision time (SCT) and Born results is examined for various special classifications of problems. In the dipole case the two formulations yield results that can be expressed in the same form and for arbitrary scattering potential. For quadrupole emission the SCT and Born results are the same only for a short-range potential, however. The quadrupole problem is more sensitive to details in the process because the calculation requires an expansion of the total amplitude for the process to lowest order in the photon wave number or momentum. The special case of photon emission associated with spin-flip transitions during scattering is considered for spin-1/2 particles. Like classical magnetic dipole radiation, there is no infrared divergence feature for this type of emission.
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