Relations among Pole-Residues of Scattering Amplitudes in Multi-Channel Scattering
Journal Article
·
· Progress of Theoretical Physics (Kyoto)
A model with two scattering channels is considered, for which the particles are spiniess and neutral. The reactions pi + Y yields pi + Y, pi + Y yields K + N, and K + N yields K + N are considered as an example of this model. The partial wave amplitudes of these reactions are the boundary values of analytic functions, which can be continued into the second, third, and fourth Riemann surfaces. These partial wave amplitudes are regnlar in the complex z-plane, except for the branch iines and possible one-particle singularities. Expressions are found relating the residues, at the complex poles, of the scattering amplitudes on each Riemann surface considered. (T.F.H.)
- Research Organization:
- Osaka Univ.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-009276
- OSTI ID:
- 4733250
- Journal Information:
- Progress of Theoretical Physics (Kyoto), Journal Name: Progress of Theoretical Physics (Kyoto) Journal Issue: 4 Vol. 28; ISSN 0033-068X
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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