Correlation effects in the relativistic impulse approximation treatment of proton-nucleus elastic scattering

Journal Article · Sun Mar 01 04:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.1040· OSTI ID:5932801

Lumpe, J D; Ray, L

Target nucleon correlation contributions to intermediate energy proton-nucleus elastic scattering observables are explored within the context of a semirelativistic multiple scattering model. A general, nonlocal expression for this second-order relativistic optical potential model is derived and discussed. Use is made of the local, projectile-target nucleon interaction given by the relativistic impulse approximation together with a shell model target nucleus wave function represented in a suitable, four-component form. For this initial investigation a simplified model is then assumed in which only the scalar and time-like vector components of the projectile-nucleon interaction are retained and in which the lower components of the target wave function are omitted. Intermediate propagation of positive and negative energy projectile states are included, as are important nonlocalities arising from the Dirac propagator for the projectile. Numerical estimates are provided for several cases of interest. Individual terms in the correlation contribution to the optical potential are fairly large; significant cancellations occur, however, resulting in relatively small changes in the calculated proton-nucleus elastic scattering observables. The differential cross section predictions are increased in magnitude at forward angles, although to a lesser degree than in nonrelativistic models of correlation effects. Analyzing powers and spin rotation functions, which are generally described quite well by the first-order relativistic impulse approximation model, are not significantly affected by these corrections, except at large scattering angles.

• Research Organization: Department of Physics, The University of Texas at Austin, Austin, Texas 78712
• OSTI ID: 5932801
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 35:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYZING POWER
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
BOUND STATE
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DISTRIBUTION
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FUNCTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
IMPULSE APPROXIMATION
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICS
MULTIPLE SCATTERING
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL ANALYSIS
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PROPAGATOR
PROTON REACTIONS
PROTON-NUCLEON INTERACTIONS
RELATIVISTIC RANGE
SCATTERING
SHELL MODELS
SPIN
WAVE EQUATIONS
WAVE FUNCTIONS