Coulomb scattering of fast electrons
Journal Article
·
· Phys. Rev. D; (United States)
In a previous paper, a simple solution to the Dirac Coulomb equation has been obtained containing only one term of a confluent hypergeometric function for each component. This solution is now used to obtain an exact expression for the phase shift of relativistic electrons in Coulomb scattering, in complete accordance with the corresponding nonrelativistic case where the Schroedinger equation is used. Though the expression for the phase shift differs slightly from that of Mott, the resulting scattering cross section, to second order in ..cap alpha..Z and ..cap alpha..Z/..beta.., is the same as the one obtained correctly by McKinley and Feshbach. The asymmetry in double scattering is in agreement with Mott.
- Research Organization:
- Fairfield University, Fairfield, Connecticut 06430
- OSTI ID:
- 6703276
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BASIC INTERACTIONS
COULOMB SCATTERING
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
INTERACTIONS
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
RELATIVISTIC RANGE
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BASIC INTERACTIONS
COULOMB SCATTERING
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
INTERACTIONS
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
RELATIVISTIC RANGE
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS