Abstract
The “atomic” model of the physical nucleons has been used in a direct computation of the scattering of free pions by nucleons. The computation is analogous to the computation of the scattering of electrons by hydrogen atoms. Neglecting any pion-pion interaction, p-wave scattering phase shifts are computed, in the Born approximation and also by an improved technique, for various assumptions concerning the interaction between a pion and the nucleon “core”. The model is shown to be capable of reproducing the resonant scattering in the (3,3) isobar state, while predicting much smaller phase shifts for the other states. Our results differ from the Chew-Low theory, in the Born approximation, only in that we predict a small, positive phase-shift for scattering in the (1,1) state; the experiments appear to favor our prediction. We conclude that the same pion-nucleon interaction, which accounts for the properties of the ground (physical) nucleon state, leads to the observed low-energy pion-nucleon scattering.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
