DISPERSION RELATIONS FOR COMPTON SCATTERING

Journal Article · Tue Apr 01 04:00:00 EST 1958 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.110.240· OSTI ID:4341342

Prange, R W

The perturbation formulas for Compton scattering with radiative corrections are written as dispersion relations. The purpose is to learn something about (1) the number of subtractions that are needed in the relations, (2) the analytic continuation of the scattering amplitude into the unphysical region, and (3) the role of the infrared dvergence. It is found that one subtraction is needed to obtain dispersion relations but that these equations still depend on the fictitious mass of the photon. To obtain relations which contain only physical quantities another subtraction is made. It is suggested that the imaginary part of the amplitude has fewer singularities than the amplitude itself, and consequently may, in some cases, be continued by meaas of the phase-shift expansion. Finally, it is shown that the Born approximation is equivalent to the so-called one-electron-intermediate-state contribution to the dispersion relation. (auth)

• Research Organization: Univ. of Chicago
• NSA Number: NSA-12-008876
• OSTI ID: 4341342
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 110; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BORN APPROXIMATION
COMPTON EFFECT
DISPERSION RELATIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORY
FREQUENCY
INFRARED RADIATION
MASS
MATHEMATICS
PERTURBATION THEORY
PHASE SHIFT
PHOTONS
PHYSICS
QUANTUM MECHANICS
RADIATIONS
RADIATIVE CORRECTIONS
REFRACTION
SCATTERING
SCATTERING AMPLITUDE
SPECTRAL SHIFT