The effect of a pion-pion interaction on low-energy pion-nucleon scattering
In the present paper we start from the Mandelstam representation for pi -N scattering and give equations for the partial-wave amplitudes which differ from similar relations by CGLN in the following ways: a) the projection on the partial-wave amplitudes is carried out exactiy; b) the dependence on the nucleon mass is also taken into account exactly; c) CGLN consider only the contribution of the first pi -N resonance to the dispersion integral. We avoid a large part of this approximation by subtracting the (J = T = 1) pi + pi yields N + N amplitude which can be computed approximately from the Q-resonance data and the total pi -N cross sections. The accuracy of the method is tested quantitatively by comparison with the forward scattering dispersion relation. S, P, D pi -N partial waves are calculated. Swaves up to about 100 Mev can be predicted practically without fitting free parameters. The predictions should hold fairly well up to about 200 Mev.
- Research Organization:
- Technische Hochschule, Karlsruhe, Ger.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-013385
- OSTI ID:
- 4752013
- Journal Information:
- Il Nuovo Cimento, Journal Name: Il Nuovo Cimento Journal Issue: 1 Vol. 27; ISSN 1827-6121
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
APPLICATION OF GENERAL UNITARITY TO PION-NUCLEON SCATTERING
CALCULATION OF THE PION-NUCLEON SCATTERING PHASES FROM DISPERSION RELATIONS