Pion-nucleon form factor in the Chew-Low theory
- 1 January 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 17 (1), 247-258
- https://doi.org/10.1103/physrevc.17.247
Abstract
We find a solution to the static Chew-Low theory of pion-nucleon scattering, avoiding the "one-meson approximation." Our basic equation is crossing symmetric and may be solved for phase shifts by standard numerical techniques, upon specifying a form factor and a set of inelasticities. With we reproduce experimental for in the (3,3) state; in the (1,3) states and (3,1) states compare well on the average but in the (1,1) state have opposite signs. We show the importance of crossing symmetry and the coupling to inelastic channels, and we discuss the possibility of determining directly from elastic scattering by an inverse scattering formula.
Keywords
This publication has 24 references indexed in Scilit:
- Systematics of low-energy πN scatteringNuclear Physics B, 1975
- Implications of high energy pion-nucleon scattering data for pion-nucleus scatteringPhysical Review C, 1975
- Field-theoretic Low equation approach to pion-nucleus scatteringPhysical Review C, 1975
- Covariant pion-nucleus optical potentialPhysical Review C, 1975
- Energy-dependent separable potentialsPhysical Review C, 1974
- Off-shell πN amplitudes via a multichannel separable potentialAnnals of Physics, 1974
- A pi-nucleus Chew-Low equation for finite nucleiLettere al Nuovo Cimento (1971-1985), 1974
- Pion-Nucleus Scattering in the (3,3) Resonance RegionPhysical Review C, 1973
- Absorptive Separable Potentials Constructed fromπNDataPhysical Review D, 1972
- Off-energy-shell continuation of the two-nucleon transition matrixNuclear Physics A, 1969