Unitary model for the coupled. pi. NN-NN problem

Journal Article · Fri Aug 01 00:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.664· OSTI ID:5294216

Eyre, D; VerWest, B J

This paper derives a unitary model for the coupled ..pi..NN-NN problem. Starting from the integral equations obtained by Avishai and Mizutani we introduce an extension of Karlsson's procedure to restate the scattering problem in terms of on-shell transition amplitudes. We obtain a soluble system of Heitler-type integral equations, which unitarize the scattering problem. The model enables the construction of the approximate on-shell transition amplitudes which satisfy both two- and three-particle unitarity constraints.

• Research Organization: Department of Physics, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5294216
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:2; 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
BARYON-BARYON INTERACTIONS
BOUND STATE
BOUNDARY CONDITIONS
EIGENSTATES
EQUATIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTEGRAL EQUATIONS
INTERACTIONS
K MATRIX
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PION-DEUTERON INTERACTIONS
PION-NUCLEON INTERACTIONS
QUANTUM OPERATORS
SCATTERING
SHELL MODELS
THREE-BODY PROBLEM
TRANSITION AMPLITUDES
TWO-BODY PROBLEM
UNITARITY