The Isobar-Doorway Theory for Pion-Nucleus Interactions

Dec, 1975
60 pages
Published in:
  • Annals Phys. 99 (1976) 374
Report number:
  • Print-76-0002 (CARNEGIE-MELLON)

Citations per year

1976198719982009202005101520
Abstract: (Elsevier)
Pion-nucleus scattering and reactions are treated in a theory which explicitly introduces the pion-nucleon resonances. Using a separation in Hilbert Space, doorway states of isobar-nuclear systems are introduced and nonresonant processes are clearly separated from resonance interactions. With one choice of doorway states a multiple scattering series is derived which corresponds to the conventional theory with binding energy and other corrections included. When another choice the isobar-doorway model is derived, with parameterization explicitly related to specific dynamic effects, our framework provides a phenomenological model for treating meson-nucleus interactions to all orders. Moreover, the parameters of the model have clear theoretical significance which can extend our knowledge of strong interactions physics. A numerical study is given for elastic scattering.
  • PI- NUCLEUS: INTERACTION
  • INTERACTION: PI- NUCLEUS
  • MODEL: INTERACTION
  • INTERACTION: MODEL
  • MULTIPLE SCATTERING
  • S-MATRIX
  • APPROXIMATION: IMPULSE
  • CORRECTION: BINDING ENERGY
  • NUCLEAR PHYSICS: CORRECTION
  • MODEL: OFF-SHELL