Relativistic impulse approximation in an additive potential model

Journal Article · Wed Jul 01 04:00:00 EDT 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.36.264· OSTI ID:6492066

Harrington, D R

Based on some arguments from relativistic field theory, the individual nucleons in a nucleus at rest are assumed to act as static sources for potentials which then enter the Dirac equation describing a projectile proton additively. The two-component version of the eikonal approximation is then used to estimate the scattering amplitude both for the full model and using the relativistic impulse approximation. In both cases the lowest order corrections to simple Glauber theory are quadratic in the nuclear densities, but dependence on the nucleon-nucleon interaction differs: In the complete model the corrections depend on the range of the nucleon-nucleon interaction even in the short range approximation, while in the relativistic impulse approximation they do not. Some numerical results are presented for the elastic scattering of 800 MeV protons on /sup 208/Pb.

• Research Organization: Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854
• OSTI ID: 6492066
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIKONAL APPROXIMATION
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GLAUBER THEORY
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
IMPULSE APPROXIMATION
INTERACTIONS
LEAD 208 TARGET
MEV RANGE
MEV RANGE 100-1000
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
POTENTIALS
PROTON REACTIONS
RELATIVITY THEORY
SCATTERING
SCATTERING AMPLITUDES
TARGETS
WAVE EQUATIONS