Pion absorption in complex nuclei
Thesis/Dissertation
·
OSTI ID:5976543
Elastic scattering of pions by complex nuclei is described mathematically by the Kisslinger optical potential. While the modified Kisslinger potential has been used successfully to calculate differential and total elastic scattering cross sections, it significantly underpredicts absorption cross sections. The discrepancy is apparently due to the omission of pion absorption from inelastic channels. In the present analysis, a formulation is developed whereby inelastic scattering cross sections and elastic and inelastic channel absorption cross sections are calculated for pions incident on /sup 12/C nuclei. These calculations are based on an extension of the Eikonal approximation in which pion-nucleus inelastic scattering, treated as quasielastic excitations of single nucleons to higher harmonic oscillator energy levels, is included in a consistent manner. A generalized form of the Kisslinger potential, which incorporates isobar doorway modelling of the (3,3) resonance, is developed and utilized in the eikonal formulation to describe the propagation and quasielastic interactions of the pions inside the nucleus. The elastic and inelastic channel pion wavefunctions are calculated and analyzed for incident pion kinetic energies in the range 150 to 300 MeV. Inelastic scattering, absorption from the elastic channel, and absorption from representative inelastic channels are examined, and cross sections compared with measured values. It is demonstrated that reasonable results are obtained with this formulation.
- Research Organization:
- Catholic Univ. of America, Washington, DC
- OSTI ID:
- 5976543
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
651315* -- Nuclear Properties & Reactions
A=6-19
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DATA
EIKONAL APPROXIMATION
ENERGY RANGE
FUNCTIONS
HADRON REACTIONS
INELASTIC SCATTERING
INFORMATION
MESON REACTIONS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR REACTIONS
NUMERICAL DATA
OPTICAL MODELS
PION REACTIONS
SCATTERING
TARGETS
THEORETICAL DATA
WAVE FUNCTIONS
A=6-19
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DATA
EIKONAL APPROXIMATION
ENERGY RANGE
FUNCTIONS
HADRON REACTIONS
INELASTIC SCATTERING
INFORMATION
MESON REACTIONS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR REACTIONS
NUMERICAL DATA
OPTICAL MODELS
PION REACTIONS
SCATTERING
TARGETS
THEORETICAL DATA
WAVE FUNCTIONS