FSI corrections for near threshold meson production in nucleon-nucleon collisions

Jun, 1994
30 pages
e-Print:
Report number:
  • BGU-94-04

Citations per year

199519982001200420062310
Abstract:
A procedure is proposed which accounts for final state interaction corrections for near threshold meson production in nucleon-nucleon scattering. In analogy with the Watson-Migdal approximation, it is shown that in the limit of extremely strong final state effects, the amplitude factorizes into a primary production amplitude and an elastic scattering amplitude describing a 333 \to 3 transition. This amplitude determines the energy dependence of the reaction cross section near the reaction threshold almost solely. The approximation proposed satisfies the Fermi-Watson theorem and the coherence formalism. Application of this procedure to meson production in nucleon-nucleon scattering shows that, while corrections due to the meson-nucleon interaction are small for s-wave pion production, they are crucial for reproducing the energy dependence of the η\eta production cross section.
Note:
  • 21pp. LaTeX + 9 figures Report-no: BGU-94/04
  • nucleon nucleon: interaction
  • interaction: nucleon nucleon
  • meson: hadroproduction
  • hadroproduction: meson
  • pi0
  • eta
  • threshold
  • final-state interaction
  • partial wave
  • channel cross section: energy dependence