Three-body approach to pionic /sup 16/O

Journal Article · Sun Aug 01 04:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.570· OSTI ID:7061042

de Kam, J; Wafelbakker, C K

Relativistic three-body calculations are presented for the real part of the ..pi..-/sup 16/O scattering length. The effects of the nucleon binding and the exclusion principle are studied in the framework of a covariant three-body model (pion, nucleon, and core) of the optical potential. The present theory is a natural generalization of the optical potential model of Celenza, Liu, and Shakin who consider only the single-triangle diagram, ignoring the nucleon rescattering. We find that the nucleon binding and the exclusion principle each have a large effect on the scattering length. However, the combined effect of both medium corrections is much smaller. Depending on the model for the ..pi..N t matrix, the single-triangle diagram alone accounts for 15% and 33% of the scattering length. With medium correction included, these numbers, are 25% and 40%, respectively. Finally, we determined the s wave strength parameter B/sub 0/ in a phenomenological rho/sup 2/ term.

• Research Organization: Natuurkundig Laboratorium der Vrije Universiteit, Amsterdam, The Netherlands
• OSTI ID: 7061042
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651315* -- Nuclear Properties & Reactions
A=6-19
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
CHARGED-PARTICLE REACTIONS
DIMENSIONS
ENERGY
ENERGY RANGE
HADRON REACTIONS
LENGTH
MANY-BODY PROBLEM
MATRICES
MESON REACTIONS
NUCLEAR REACTIONS
OPTICAL MODELS
OXYGEN 16 TARGET
PAULI PRINCIPLE
PION REACTIONS
RELATIVISTIC RANGE
S MATRIX
SCATTERING LENGTHS
TARGETS
THREE-BODY PROBLEM