Relativistic (Dirac equation) effects in microscopic elastic scattering calculations

Journal Article · Mon Apr 01 04:00:00 EST 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.31.1438· OSTI ID:6024095

Hynes, M V; Picklesimer, A; Tandy, P C; Thaler, R M

A simple relativistic extension of the first-order multiple scattering mechanism for the optical potential is employed within the context of a Dirac equation description of elastic nucleon-nucleus scattering. A formulation of this problem in terms of a momentum-space integral equation displaying an identifiable nonrelativistic sector is described and applied. Extensive calculations are presented for proton scattering from /sup 40/Ca and /sup 16/O at energies between 100 and 500 MeV. Effects arising from the relativistic description of the propagation of the projectile are isolated and are shown to be responsible for most of the departures from typical nonrelativistic (Schroedinger) results. Off-shell and nonlocal effects are included and these, together with uncertainties in the nuclear densities, are shown not to compromise the characteristic improvement of forward angle spin observable predictions provided by the relativistic approach. The sensitivity to ambiguities in the Lorentz scalar and vector composition of the optical potential is displayed and discussed.

• Research Organization: Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 6024095
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 31:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
BARYON REACTIONS
CALCIUM 40 TARGET
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DISTRIBUTION
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRON REACTIONS
IMPULSE APPROXIMATION
INTEGRAL EQUATIONS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR REACTIONS
NUCLEON REACTIONS
OPTICAL MODELS
OXYGEN 16 TARGET
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PROTON REACTIONS
RELATIVITY THEORY
SCATTERING
SPIN
TARGETS
WAVE EQUATIONS