RESONANCE POLES AND THE REACTION MATRIX
Within the framework of relativistic dispersion theory, the reaction K- matrix is considered as an analytic matrixfunction. For the case of two coupled two-particle channels, it is shown that the elements of this matrix are regular functions except for cuts due to dynamical branch lines of the amplitudes and possible isolated poles. Expressing the reaction amplitudes in terms of the elements of the K matrix makes it possible to exhibit the Riemann surface of these amplitudes. The connection between resonance and poles of the amplitudes in secondary Riemann sheets is discussed with the help of the K matrix formalism. The Possible connection between a resonance and a bound state is considered. (auth)
- Research Organization:
- Univ. of Chicago
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-021456
- OSTI ID:
- 4047377
- Journal Information:
- Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 20; ISSN NUCIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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