On-shell prescription in three-particle scattering
Journal Article
·
· Phys. Rev., D; (United States)
The scattering of three identical particles initiated from a particle incident on a bound state is considered. A prescription is suggested for approximate evaluation of the physical amplitude in terms of on-shell and half-on-shell two-particle amplitudes adopting the first-order Alt-Grassberger-Sandhas perturbation treatment. The half-on-shell two-particle amplitudes can in turn be given in terms of their on-shell versions and the knowledge of two-particle interactions using the Kowalski-Noyes prescription. Sloan's first-order unitary model is also considered. Using our prescription, it is shown that with such a model, the elastic and rearrangement amplitudes are completely determined from on-shell two-particle amplitudes, while for the break-up process, half-on-shell two-particle amplitudes inevitably appear.
- Research Organization:
- Atomic Energy Establishment, Tripoli-Libya
- OSTI ID:
- 7281344
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOUND STATE
EQUATIONS
FADDEEV EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-DEUTERON INTERACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
SCATTERING AMPLITUDES
SHELL MODELS
THREE-BODY PROBLEM
Baryon No. Greater than 1-- (-1987)
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOUND STATE
EQUATIONS
FADDEEV EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-DEUTERON INTERACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
SCATTERING AMPLITUDES
SHELL MODELS
THREE-BODY PROBLEM