Nonasymptotic analysis of relativistic electron scattering in the Coulomb field

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.052703· OSTI ID:21528647

Feranchuk, I D; Skoromnik, O D ^[1]

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1. Belarusian State University, 4 Nezavisimosty Avenue, BY-220030 Minsk (Belarus)

It is shown that the conventional Born series for relativistic electron scattering in the Coulomb field cannot be used for calculating the scattering characteristics. The differential cross section at small scattering angles is found on the basis of the Furry-Sommerfeld-Maue solution of the Dirac equation. Propagation of the electron wave packet is considered in order to separate the incident and scattered fluxes. It is shown that the total scattering cross section proves to be finite but depends on the distance r between the scattering center and the observation point. It is also shown that the polarization characteristics of the scattered beam are changed due to the long-range character of the Coulomb potential. The results can be important because Coulomb scattering is often used for normalization of experimental data in high-energy physics.

• OSTI ID: 21528647
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BEAMS
COULOMB FIELD
COULOMB SCATTERING
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELECTRIC FIELDS
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EXPERIMENTAL DATA
FERMIONS
FIELD EQUATIONS
HIGH ENERGY PHYSICS
INFORMATION
INTERACTIONS
LEPTONS
MATHEMATICAL SOLUTIONS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICS
POLARIZATION
RELATIVISTIC RANGE
SCATTERING
WAVE EQUATIONS
WAVE PACKETS