Low equation, pion-nucleon scattering, and Castillejo-Dalitz-Dyson pole

Journal Article · Sun Jun 01 00:00:00 EDT 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.33.2087· OSTI ID:5656725

Nakano, K; Nogami, Y

We examine the p-wave ..pi..N scattering at medium energies by means of the Low equation with a view to determining the form factor of the ..pi..N interaction. Solutions of the equation with and without a Castillejo-Dalitz-Dyson (CDD) pole are used. The solution with no CDD pole corresponds to the old Chew-Low model, whereas the one with a CDD pole corresponds to the quark version of the Chew-Low model. The ..pi..N interaction form factor is determined so that the ..delta.. resonance is well reproduced. We find that the solution with a CDD pole leads to a softer form factor but is not as soft as those expected from the nucleon size in the quark model. Using the solutions and form factors thus determined, we also examine the pionic contributions to the nucleon magnetic moment and the nucleon mass.

• Research Organization: Department of Physics, McMaster University, Hamilton, Ontario, Canada L8S 4M1
• OSTI ID: 5656725
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 33:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED-PARTICLE REACTIONS
COMPOSITE MODELS
EQUATIONS
FORM FACTORS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTIONS
LOW EQUATION
MAGNETIC MOMENTS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MULTIPLICITY
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE SHIFT
PION REACTIONS
PION-NUCLEON INTERACTIONS
QUANTUM OPERATORS
QUARK MODEL
RECOILS
SCATTERING