Truncated pion-nucleon amplitudes and pion-nucleus interactions

Journal Article · Thu May 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.21.2122· OSTI ID:5318106

Kowalski, K L

It is pointed out that there are considerable structural differences among the various types of truncated pion-nucleon amplitudes which have been proposed in order to avoid overcounting ambiguities in pion-nucleus interactions. A previously proposed prescription is shown to yield truncated amplitudes which are free of the usual problems involved with the proper representation of the nucleon-pole term. It is shown that these truncated amplitudes can also possess ghost pole singularities arising from the ..pi..NN vertex function. Some problems caused by the appearance of such ghost poles in approximations to pion-nucleus amplitudes are discussed.

• Research Organization: Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106
• OSTI ID: 5318106
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BOUND STATE
CHARGED-PARTICLE REACTIONS
DEUTERIUM TARGET
DIAGRAMS
DISTORTED WAVE THEORY
FEYNMAN DIAGRAM
FUNCTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
PION REACTIONS
PION-NUCLEON INTERACTIONS
PROPAGATOR
S CHANNEL
SCATTERING
SCATTERING AMPLITUDES
TARGETS
VERTEX FUNCTIONS