TOTAL COMPTON CROSS SECTION FOR ARBITRARY SPIN

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys.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.121.314· OSTI ID:4121418

Bollini, C G

The magnitude of the total Compton cross section for arbitrary spin is calculated in lowest order by using the absorptive part of the forward scattering amplitude and the unitarity property of the S matrix. To find the general form (for any spin) of the forward amplitude a universal electromagnetic interaction, implying the value 2 for the gyromagnetic ratio, is postulated. The deduced cross section contains as special cases the known cross sections for spinless and Dirac particles. The average of the cross section over all the possible polarization states of the particle is performed, in the high-energy region the cross section never increases faster than linearly with the energy of the photon. If a development in powers of the photon energy is made, the first and second coefficients are found to be spin independent. The coefficient of the square of the energy is proportional to the square of the modulus of the spin vector. (auth)

• Research Organization: Imperial Coll. of Science and Tech., London
• NSA Number: NSA-15-006668
• OSTI ID: 4121418
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 121; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

COMPTON EFFECT
CROSS SECTIONS
ELECTRONS
ENERGY
INTERACTIONS
MATHEMATICS
MATRICES
NUMERICALS
PHOTONS
PHYSICS
POWER SERIES
S-MATRIX
SCATTERING
SCATTERING AMPLITUDE
VARIATIONS