Two-pion-exchange three-nucleon potential: Partial wave analysis in momentum space

Journal Article · Wed Apr 01 04:00:00 EST 1981 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.23.1790· OSTI ID:6789804

Coon, S A; Gloeckle, W

We present the complete momentum space three-nucleon potential of the two-pion-exchange type in the partial wave decomposition needed for the Faddeev equations of the three-nucleon bound state. The potential arises from an off-mass-shell model for ..pi..N scattering based upon current algebra and a dispersion-theoretical axial vector amplitude dominated by the ..delta..(1230) isobar. The potential is manifestly Hermitian and defined for all three nucleon momenta. We display some matrix elements of the potential in the five three-body partial waves corresponding to the /sup 1/S/sub 0/ and /sup 3/S/sub 1/-/sup 3/D/sub 1/ states of the two-body subsystem. These matrix elements show a striking contrast to those of an older three-body potential mediated only by the ..delta..(1230) p-wave resonance.

• Research Organization: Physics Department, University of Arizona, Tucson, Arizona 85721
• OSTI ID: 6789804
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 23:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON RESONANCES
BARYON-BARYON INTERACTIONS
BARYONS
BOUND STATE
CURRENT ALGEBRA
DELTA-1236 RESONANCES
DIAGRAMS
ELEMENTARY PARTICLES
EQUATIONS
FADDEEV EQUATIONS
FERMIONS
FEYNMAN DIAGRAM
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
ISOSPIN
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MULTIPERIPHERAL MODEL
N RESONANCES
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
PION-NUCLEON INTERACTIONS
RESONANCE PARTICLES
S MATRIX
SCATTERING AMPLITUDES
SHELL MODELS
THREE-BODY PROBLEM