Interaction range perturbation theory for three-particle problem
Journal Article
·
· Theor. Math. Phys.; (United States)
The limit of zero interaction range is correctly defined for a system of three spinless particles and three particles in a doublet state. The scattering amplitude is expanded with respect to the interaction range r, and the corrections of order r ln r, r, and r/sup 2/ ln2 r are found. An explicit model-independent asymptotic expression is obtained for the scattering amplitude in terms of the scattering length, and its accuracy is established.
- OSTI ID:
- 6067288
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 75:2; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
BINDING ENERGY
BOUNDARY CONDITIONS
DIMENSIONS
DISTANCE
ELASTIC SCATTERING
ENERGY
EQUATIONS
FADDEEV EQUATIONS
INTERACTION RANGE
INTERACTIONS
LENGTH
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MECHANICS
MULTIPLE SCATTERING
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
PHASE SHIFT
QUANTUM MECHANICS
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
THREE-BODY PROBLEM
ZERO-RANGE APPROXIMATION
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
BINDING ENERGY
BOUNDARY CONDITIONS
DIMENSIONS
DISTANCE
ELASTIC SCATTERING
ENERGY
EQUATIONS
FADDEEV EQUATIONS
INTERACTION RANGE
INTERACTIONS
LENGTH
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MECHANICS
MULTIPLE SCATTERING
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
PHASE SHIFT
QUANTUM MECHANICS
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
THREE-BODY PROBLEM
ZERO-RANGE APPROXIMATION