Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...337..950g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 337, Feb. 15, 1989, p. 950-953.
Astronomy and Astrophysics
Astrophysics
Born Approximation, Pair Production, Particle Collisions, Photons, Black Body Radiation, Multiphoton Absorption, Perturbation Theory, Scattering Cross Sections, Wave Functions
Scientific paper
Aspects of pair production in photon-photon collisions, which can be of great importance in a variety of astrophysical settings, are examined. In particular, the correction associated with the use of Coulomb rather than plane-wave functions to describe the outgoing e(+) e(-) is evaluated. This is important only in the energy domain near threshold where e(+) e(-) are nonrelativistic, and the effect is evaluated. Because of the extreme simplicity of the nonrelativistic Born limit, the corresponding derivation is briefly outlined using noncovariant perturbation theory. The relative magnitude of the Born correction is comparable to radiative-correction effects. These effects can be evaluated easily in the nonrelativistic limit, and an approximate calculation is outlined.
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