Approximate Dirac scattering amplitudes: Eikonal expansion

Journal Article · Thu Mar 01 00:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.29.956· OSTI ID:6999348

Wallace, S J; Friar, J L

Eikonal expansions are developed for the equivalent cases of the Dirac equation with scalar and vector potentials and the Schroedinger equation with central and spin-orbit potentials. Second-order corrections to the Glauber approximation are developed. Numerical calculations relevant to proton-nucleus elastic scattering illustrate that the sequence of eikonal amplitudes converge to the Dirac amplitudes in the 300--800 MeV range considered and for forward scattering angles 0/sup 0/< or =theta/sub c.m./< or approx. =40/sup 0/.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6999348
• Journal Information: Phys. Rev. C; (United States), Vol. 29:3
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIRAC EQUATION
EIKONAL APPROXIMATION
PROTON REACTIONS
ELASTIC SCATTERING
ANGULAR DISTRIBUTION
GLAUBER THEORY
L-S COUPLING
MEV RANGE 100-1000
PHASE SHIFT
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
WAVE FUNCTIONS
AMPLITUDES
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
COUPLING
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ENERGY RANGE
EQUATIONS
FUNCTIONS
HADRON REACTIONS
INTERMEDIATE COUPLING
MEV RANGE
NUCLEAR REACTIONS
NUCLEON REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SCATTERING
WAVE EQUATIONS
653003* - Nuclear Theory- Nuclear Reactions &amp; Scattering