Pion-nucleon vertex function with one nucleon off shell

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.19.958· OSTI ID:6204300

Mizutani, T; Rochus, P

The pion-nucleon vertex function with an off-mass-shell nucleon is obtained through sideways dispersion relations with the P/sub 11/ and S/sub 11/ pion-nucleon phase shifts as only input. Contrary to the recent calculation of Nutt and Shakin, we find that the proper and improper vertex functions behave quite differently, indicating the importance of the nucleon propagator dressing. In particular the proper vertex function is found to have two poles in the unphysical region.

• Research Organization: Institut de Physique, Universite de Liege, Sart Tilman, B-4000 Liege 1, Belgium
• OSTI ID: 6204300
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 19:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COUPLING CONSTANTS
DISPERSION RELATIONS
ENERGY
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR MODELS
PARTICLE INTERACTIONS
PHASE SHIFT
PION-NUCLEON INTERACTIONS
PROPAGATOR
RENORMALIZATION
SELF-ENERGY
SHELL MODELS
VERTEX FUNCTIONS