Effective interaction for inelastic proton scattering based on the relativistic impulse approximation

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.2812· OSTI ID:6462198

Furnstahl, R J ^[1]; Wallace, S J ^[2]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
2. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)

A density-dependent effective interaction is derived from a complete set of Lorentz-invariant [ital NN] amplitudes. Its use in a Schroedinger formalism produces results equivalent to use of the relativistic impulse approximation together with the Dirac equation. The effective interaction is defined for elastic scattering as a matrix element of the Lorentz-invariant nucleon-nucleon interaction, which differs from the free [ital t] matrix in that distortions are present in three of the Dirac spinors. A similar reduction of the relativistic distorted-wave impulse approximation for inelastic scattering is performed to obtain an inelastic effective interaction, which differs from the free [ital t] matrix in that distortions are present in all four of the Dirac spinors. A local-density approximation is used to evaluate the effective interactions. For elastic scattering, using the elastic effective interaction in the Schroedinger equation leads to a reasonable reproduction of the relativistic impulse approximation results. The effective interaction is similar to a phenomenological effective interaction obtained by fitting experimental data for elastic and inelastic scattering. The inelastic effective interaction can be used in conventional nonrelativistic analyses based on the distorted-wave impulse approximation and it provides a simple method for incorporating relativistic effects. The full spin and isospin dpendence of the inelastic effective interaction is developed.

• DOE Contract Number: FG05-87ER40322
• OSTI ID: 6462198
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:6; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
663430 -- Nucleon-Induced Reactions & Scattering-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
ENERGY RANGE
HADRON REACTIONS
IMPULSE APPROXIMATION
INELASTIC SCATTERING
ISOSPIN
MATRICES
NUCLEAR FORCES
NUCLEAR REACTIONS
NUCLEON REACTIONS
OPTICAL MODELS
PARTICLE PROPERTIES
PROTON REACTIONS
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SPIN