Threshold estimates of (. pi. ,2. pi. ) on nuclei in the Fermi gas model: One-body mechanism

Journal Article · Sun May 01 00:00:00 EDT 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.27.2150· OSTI ID:5957561

Rockmore, R M

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 eta/sup 4/ dependence near threshold, where eta = (..omega../sub k/-2m/sub ..pi../)/m/sub ..pi../ for total incident pion energy ..omega../sub k/. In a simple eikonal approach incident pion attenuation is found to lead to a reduction of threshold estimates by a factor of approx.10.

• Research Organization: Department of Physics and Astronomy, Rutgers, The State University, Piscataway, New Jersey 08854
• OSTI ID: 5957561
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 27:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALUMINIUM 27 TARGET
BORON 11 TARGET
BOSONS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
ELEMENTARY PARTICLES
ENERGY
FERMI GAS MODEL
HADRON REACTIONS
HADRONS
MATHEMATICAL MODELS
MESON REACTIONS
MESONS
NITROGEN 14 TARGET
NUCLEAR MODELS
NUCLEAR REACTIONS
OXYGEN 18 TARGET
PARTICLE PRODUCTION
PHOSPHORUS 31 TARGET
PION MINUS REACTIONS
PION PLUS REACTIONS
PION REACTIONS
PIONS
PSEUDOSCALAR MESONS
TARGETS
THRESHOLD ENERGY