Rutherford Scattering with Retardation

Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for extended body preserves the form of the Rutherford result with mult...

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Bibliographic Details
Published in:arXiv.org 2001-07
Main Author: Vlasov, Alexander A
Format: Article
Language:English
Subjects:
Damping
Mathematical models
Point charge
Scattering
Online Access:Get full text
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Summary:Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for extended body preserves the form of the Rutherford result with multiplier, not equal to one (as in classical case), but depending on the size of Sommerfeld particle. Also the effect of capture by attractive center is found out for Sommerfeld particle. The origin of this effect lies in radiation damping.
ISSN:2331-8422