Nonsingular representation of three-body equations
Journal Article
·
· Phys. Rev., D; (United States)
An alternate representation of the three-body scattering equations of Alt, Grassberger, and Sandhas is suggested. Like the formulation of Karlsson and Zeiger these equations require only two-body bound-state wave functions and half-off-shell transition amplitudes as input and contain three-body energy-independent effective potentials which become real after partial-wave decomposition. It is emphasized that such representations are particularly suitable for writing singularity-free momentum-space integral equations in the scattering region. One scheme for writing such equations is discussed.
- Research Organization:
- Departamento de Fisica, Universidade Federal de Pernambuco, 50.000 Recife, Pe, Brazil
- OSTI ID:
- 5388390
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:8; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BINDING ENERGY
BOUND STATE
EIGENSTATES
ENERGY
ENERGY DEPENDENCE
EQUATIONS
FUNCTIONS
HAMILTONIANS
INTEGRAL EQUATIONS
K MATRIX
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
QUANTUM OPERATORS
SCATTERING
SHELL MODELS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
UNITARY POLE APPROXIMATION
WAVE FUNCTIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BINDING ENERGY
BOUND STATE
EIGENSTATES
ENERGY
ENERGY DEPENDENCE
EQUATIONS
FUNCTIONS
HAMILTONIANS
INTEGRAL EQUATIONS
K MATRIX
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
QUANTUM OPERATORS
SCATTERING
SHELL MODELS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
UNITARY POLE APPROXIMATION
WAVE FUNCTIONS