Dispersive effects in pion-nucleus scattering

Journal Article · Sun Sep 01 00:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.940· OSTI ID:5366299

Ernst, D J; Johnson, M B

The influence of dispersive, medium effects on pion-nucleus elastic scattering is investigated in a simple model. The pion-nucleus interaction in the impulse approximation is represented by an optical potential whose form is motivated by field-theoretic considerations and the properties of the ..delta../sub 33/ resonance. The intermediate ..delta../sub 33/ spectrum is described by a mean spectral energy, E/sub ms/, where the shift E/sub ms/ represents the average of the ..delta../sub 33/-nucleus mean field, U/sub ..delta../, over the nucleon and pion wave functions. We calculate the real part of E/sub ms/ as a function of mass number A and pion energy ..omega.., assuming that U/sub ..delta../ is numerically the same as the nucleon-nucleus shell-model potential. We compare our theory to more conventional ones, showing that the mean spectral energy is an important correction for pion-nucleus elastic scattering.

• Research Organization: Physics Department, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5366299
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
ENERGY DEPENDENCE
FIELD THEORIES
FUNCTIONS
HADRON REACTIONS
HAMILTONIANS
IMPULSE APPROXIMATION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESON REACTIONS
NUCLEAR MODELS
NUCLEAR REACTIONS
OPTICAL MODELS
PION REACTIONS
PROPAGATOR
QUANTUM OPERATORS
SCATTERING
SCATTERING AMPLITUDES
SHELL MODELS
WAVE FUNCTIONS