THRESHOLD ESTIMATES OF (PI, 2 PI) ON NUCLEI IN THE FERMI GAS MODEL: ONE BODY MECHANISM

1983
8 pages
Published in:
  • Phys.Rev.C 27 (1983) 2150-2157

Citations per year

198319871991199519971302
Abstract: (APS)
The one-nucleon contribution to threshold pion production in pion-nucleus collisions is calculated using a Fermi gas model of the nuclear excitation spectrum in order to carry out the sum over final nuclear states. For the one-body input a threshold approximant to the production amplitude from the phenomenological Lagrangian theory is used. The cross sections are found to have an η4 dependence near threshold, where η=(ωk−2mπ)mπ for total incident pion energy ωk. In a simple eikonal approach incident pion attenuation is found to lead to a reduction of threshold estimates by a factor of ∼ 10. NUCLEAR REACTIONS B11(π−, 2π−), N14(π−, 2π−), O18(π−, 2π−), Al27(π+, 2π+), P31(π+, 2π+); threshold pion production cross section calculated in the Fermi gas model with phenomenological Lagrangian input.
  • PI- LIGHT NUCLEUS: NUCLEAR REACTION
  • PI+ NUCLEUS: NUCLEAR REACTION
  • PI-: HADROPRODUCTION
  • HADROPRODUCTION: PI-
  • PI+: HADROPRODUCTION
  • HADROPRODUCTION: PI+
  • PI: PAIR PRODUCTION
  • PAIR PRODUCTION: PI
  • BORON
  • NITROGEN