Generalized impulse approximation for relativistic proton scattering

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

DOI:https://doi.org/10.1103/PhysRevC.36.1085· OSTI ID:6229566

Tjon, J A; Wallace, S J

A complete set of Lorentz invariant nucleon-nucleon amplitudes, based on a meson-exchange model and on-mass-shell kinematics, is used to construct the impulse approximation optical potential for use in the Dirac equation. Relativistic nuclear densities are also used in the construction. No free parameters enter. The analysis provides a dynamical basis for the virtual pair couplings which are implicit in the Dirac equation for proton-nucleus scattering. A momentum space potential and a localized potential suitable for coordinate space analysis are developed. Initial numerical calculations are presented for proton scattering by /sup 40/Ca at 200, 500, and 800 MeV. The generalized impulse approximation provides a successful description of the elastic scattering data for these cases. Low energy results are improved substantially in comparison with the original form of Dirac impulse approximation based on using five Fermi amplitudes to represent nucleon-nucleon scattering.

• Research Organization: Institute for Theoretical Physics, University of Utrecht, 3508 TA Utrecht, The Netherlands
• OSTI ID: 6229566
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
AMPLITUDES
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
CALCIUM 40
CALCIUM ISOTOPES
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
EVEN-EVEN NUCLEI
EXCHANGE INTERACTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
IMPULSE APPROXIMATION
INTERACTIONS
INVARIANCE PRINCIPLES
ISOTOPES
LIGHT NUCLEI
LORENTZ INVARIANCE
MATHEMATICS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL ANALYSIS
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PROTON REACTIONS
RELATIVISTIC RANGE
SCATTERING
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
STABLE ISOTOPES
WAVE EQUATIONS