Simple analytical representation for the high-energy Delbruck scattering amplitudes
R.N. Lee, A.I. Milstein, V.M. Strakhovenko
TL;DR
This paper introduces a simplified analytical method for calculating high-energy Delbruck scattering amplitudes in a Coulomb field, making numerical evaluation easier while confirming previous results.
Contribution
It presents a new, simpler analytical representation for Delbruck scattering amplitudes that is exact in Zα, improving computational efficiency.
Findings
Magnitudes match previous results
Expressions are significantly simpler
Facilitates numerical calculations
Abstract
Using a new representation for the quasiclassical Green function of the Dirac equation in a Coulomb field, analytical expressions for the high-energy small-angle Delbr\"uck scattering amplitudes are obtained exactly in the parameter Z\alpha. Magnitudes of the amplitudes coincide with the previous results. However, the structure of the expressions obtained is much more simple, which considerably facilitates numerical calculations.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Advanced Chemical Physics Studies · Quantum Chromodynamics and Particle Interactions