Reactive content of the Klein-Gordon optical potential

Journal Article · Sun Nov 01 04:00:00 EST 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.2210· OSTI ID:5940676

Ernst, D J; Johnson, M B

The reactive content of the pion-nucleus optical potential is explicated in the Klein-Gordon and relativistic Schroedinger theories. It is proven that even though the solution of the Klein-Gordon equation introduces intermediate multipion states, there is no inelastic contribution of these states to the scattering amplitudes. This is shown to come about from an intricate cancellation between diagrams which contain different numbers of pions at specific intermediate times. Approximation schemes which expand the optical potential of the relativistic Schroedinger equation in terms of a fixed number of pions present at a given time are shown not to maintain this cancellation whenever truncated at any finite order of perturbation theory.

• Research Organization: Physics Department, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5940676
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHARGED-PARTICLE REACTIONS
DIAGRAMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FEYNMAN DIAGRAM
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRON REACTIONS
IMPULSE APPROXIMATION
KLEIN-GORDON EQUATION
MESON REACTIONS
NUCLEAR REACTIONS
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PION REACTIONS
PROPAGATOR
RELATIVITY THEORY
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
WAVE EQUATIONS