Role of three-body unitarity in. pi. -N scattering

Journal Article · Sun Feb 01 00:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.737· OSTI ID:6924634

Afnan, I R; Pearce, B C

We consider the amplitude for ..pi..-N scattering within the framework of a Lagrangian of the form suggested by the cloudy bag model with volume coupling. By first exposing two-body, and then three-body unitarity, we derive a set of integral equations that couple the ..pi..N to the ..pi pi..N channel. These equations satisfy two- and three-body unitarity, and can be used to describe ..pi..-N scattering both below and above the threshold for pion production. Below this threshold, the equations have the form of the Lippmann-Schwinger equation with the new feature that in the potential, the vertices in the pole diagram are undressed, while those in the crossed diagram are dressed. This feature allows for the proper description of the P/sub 11/ amplitude.

• Research Organization: School of Physical Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia
• OSTI ID: 6924634
• Journal Information: Phys. Rev. C; (United States), Vol. 35:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PION-NUCLEON INTERACTIONS
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SCATTERING AMPLITUDES
UNITARITY
COUPLING CONSTANTS
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INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
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TWO-BODY PROBLEM
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HADRON-HADRON INTERACTIONS
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MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
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645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties