Potential scattering for complex energy and angular momentum
The analytic properties of the partial-wave scattering amplitude for potential scattering in the pair of variables k (wave number) and lambda = 1 + 1/2 are derived when both variables are complex. Several results on the location of the poles of the S-matrix follow from a procedure of analytic completion. The scattering process is then considered as described by the variables lambda and k, instead of s and t, as in the Mandelstara formalism. The set of properties of S( lambda ,k)= exp (2i sigma ( lambda ,k)! derived is exactly equivalent to the double dispersion formulas for energy and momentum transfer.
- Research Organization:
- Universita, Turin; Istituto Nazionale di Fisica Nucleare, Turin
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-024310
- OSTI ID:
- 4820177
- Journal Information:
- Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 6 Vol. 23; ISSN 0029-6341
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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