Renormalized off-energy-shell Coulomb scattering
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The complex-energy distorted plane waves for scattering via a general class of two-body Coulomb-like potentials are shown to satisfy off-energy-shell Lippmann-Schwinger equations in the case of two particle scattering and appropriately iterated Weinberg-Van Winter and Faddeev equations in the case of three particle scattering. A renormalized off-energy-shell formalism is defined for scattering involving more than one charged fragment in either the incoming or outgoing channel. The existence of limit to real energies of the normalized off-energy-shell formalism is verified.
- Research Organization:
- Department of Mathematics, University of British Columbia, Vancouver, B. C. Canada V6T 1W5
- OSTI ID:
- 7222893
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:5; ISSN JMAPA
- 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
BANACH SPACE
BASIC INTERACTIONS
COULOMB SCATTERING
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
GREEN FUNCTION
HILBERT SPACE
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL SPACE
MATRICES
RENORMALIZATION
S MATRIX
SCATTERING
SPACE
THREE-BODY PROBLEM
TWO-BODY PROBLEM
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
BASIC INTERACTIONS
COULOMB SCATTERING
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
GREEN FUNCTION
HILBERT SPACE
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL SPACE
MATRICES
RENORMALIZATION
S MATRIX
SCATTERING
SPACE
THREE-BODY PROBLEM
TWO-BODY PROBLEM