Diffraction scattering and mandelstam representation
The Mandelstam representation is applied to π -p elastic scattering in the Bev region. The double spectral function is calculated from the observed angular distribution at 5 Bev/c by a conformal mapping extrapolation technique. The resuit is a strongly oscillating function of the type considered by Regge in potential scattering. From the analogy with Regge, a formula is derived for the double spectral function that explains all the π -/-p experiments above 3 Bev/c, and fits the forward peak down to 1.3 Bev/c. The formula gives better agreement with experiment than the optical model for wide angle scattering. The formula also predicts a slow energy dependence of the optical model parameters. A construction for obtaining Regge poles from physical phase shifts, and vice versa is given. This construction indicates a pion-pion resonance in the I = O, D-wave state.
- Research Organization:
- Imperial Coll. of Science and Tech., London
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-033740
- OSTI ID:
- 4779396
- Journal Information:
- Il Nuovo Cimento, Journal Name: Il Nuovo Cimento Journal Issue: 2 Vol. 26; ISSN 1827-6121
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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