S-matrix inverse scattering problem via the fixed-point theorem
Journal Article
·
· Phys. Rev., D; (United States)
By use of the contraction mapping principle we show explicitly that the equations for the inverse scattering problem (i.e., constructing the full amplitude, A (s,t), from just the s-wave amplitude A/sub 0/(s) given at all real s) in nonrelativistic S-matrix theory have a locally unique solution when there are no pole terms and no subtractions and when the relevant norms are sufficiently small. The corresponding mapping problem for the relativistic, crossing-symmetric case is also formulated and the question of uniqueness is discussed.
- Research Organization:
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556
- OSTI ID:
- 6679740
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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