Pion production and absorption in nuclear reactions. I. The vertex function

Journal Article · Thu Sep 01 04:00:00 EDT 1977 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.16.1107· OSTI ID:7081889

Nutt, W T; Shakin, C M

We have performed a model calculation of the pion-nucleon vertex function for the case in which one nucleon is allowed to go far off its mass shell. We discuss the relevance of this vertex function for the calculation of pion production and absorption in nuclear reactions, such as (..pi../sup +/,p), (p,..pi../sup +/), and for the pionic disintegration of the deuteron. The model used is based upon an approximation to an exact equation for the vertex function derived from a field-theoretic model with pseudoscalar coupling. Our calculations indicate a strong dependence of the vertex function on the invariant mass of the off-shell nucleon. The results are dominated by the presence of the 1470 MeV, P/sub 11/ resonance.

• Research Organization: Department of Physics and Institute for Nuclear theory, Brooklyn College, Brooklyn, New York 11210
• OSTI ID: 7081889
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 16:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
AMPLITUDES
BARYON REACTIONS
BARYONS
BOSONS
CAPTURE
CHARGED-PARTICLE REACTIONS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
HADRON REACTIONS
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MATRICES
MESON REACTIONS
MESONS
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PION PLUS REACTIONS
PION REACTIONS
PIONS
PIONS PLUS
PROTON REACTIONS
PROTON SPECTRA
PROTONS
PSEUDOSCALAR MESONS
S MATRIX
SCATTERING AMPLITUDES
SHELL MODELS
SPECTRA
VERTEX FUNCTIONS
WAVE FUNCTIONS