Analytic properties of off-energy shell potential scattering amplitudes
A proof is given that a double dispersion relation in the momentum transfer and outgoing energy holds for off energy-shell scattering by a Yukawa potential in which the incoming energy is held fixed and real. It is shown that unitarity then determines the off-shell in terms of the onshell amplitude. The analytic properties of the off-shell amplitude on unphysical Riemann sheets are described and some results on the domain of holomorphy in both energy variables are also included.
- Research Organization:
- Univ. of Pennsylvania, Philadelphia
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-006020
- OSTI ID:
- 4813501
- Journal Information:
- Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 2 Vol. 22; ISSN 0029-6341
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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