Spin dependence of fermion-fermion scattering in the eikonal limit

Journal Article · Tue May 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.3145· OSTI ID:6150534

McNeil, J A; Wallace, S J

The generalized ladder series of Feynman diagrams for scattering of two Dirac particles by neutral-vector-meson exchange is expanded, using functional methods, to obtain a spin-dependent relativistic eikonal approximation and the next term of an expansion about the eikonal limit. The spin dependence of the eikonal scattering amplitude is quite simple. The usual scalar impact-parameter amplitude approx. (e/sup i/chi0/sup( b/) - 1) generalizes to approx. ..gamma../sub 1/x..gamma../sub 2/(e/sup i/chi/sup( b/)-..omega../sup( b/) - 1) + ..sigma../sub 12/GAMMA/sub f/(b), where chi/sub 0/(b), the eikonal phase shift, is the leading term of an expansion of the complete phase, chi (b) + i..omega.. (b), in powers of inverse momentum. ..sigma../sub 12/ = q/sup -2/ (..gamma../sub 1/xk/sub a/2..gamma../sub 2/xk/sub a/1/(k/sub a/2xk/sub a/1) - ..gamma../sub 1/x..gamma../sub 2/) is a double spin-flip Dirac operator involving the average momenta k/sub a/1 and k/sub a/2 of the two fermions. The double spin-flip amplitude, GAMMA/sub f/(b), is approximately given by (qxb)/sup 2/(chi/sub 0/' (b))/sup 2/ and is thus entirely determined once the eikonal phase at infinite momentum is known. Additional corrections to the eikonal approximation of relative order s/sup -1/ are also determined.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6150534
• Journal Information: Phys. Rev., D; (United States), Vol. 19:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
PARTICLE INTERACTIONS
EIKONAL APPROXIMATION
FEYNMAN DIAGRAM
HELICITY
PHASE SHIFT
PROPAGATOR
SCATTERING AMPLITUDES
SPIN FLIP
VECTOR MESONS
AMPLITUDES
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
HADRONS
INTERACTIONS
MESON RESONANCES
MESONS
PARTICLE PROPERTIES
RESONANCE PARTICLES
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory