Some properties of high angular momentum partial wave scattering amplitudes
The form of the amplitude at low energy is shown to determine l-- 1 moments of the function, in the partial-wave dispersion relation, which is the discontinuity across the unphysical branch cut. An inequality is given for the number of zeros in this function. The form of the moment sequence necessary to give a partial-wave scattering amplitude consistent with unitarity and the partial wave dispersion relations is investigated. It is suggested that the sequence must be such that the absorption is a slowly varying function of the impact parameter.
- Research Organization:
- Oxford Univ.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-004705
- OSTI ID:
- 4825228
- Journal Information:
- Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 6 Vol. 21; ISSN 0029-6341
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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