DISPERSIVE EFFECTS IN PION NUCLEUS SCATTERING

Ernst, D.J.; Johnson, M.B.

doi:10.1103/PhysRevC.32.940

DISPERSIVE EFFECTS IN PION NUCLEUS SCATTERING

D.J. Ernst
(
- Texas A-M
)
,
M.B. Johnson
(
- Los Alamos
)

1985

9 pages

Published in:

Phys.Rev.C 32 (1985) 940-948

DOI:

10.1103/PhysRevC.32.940

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Abstract: (APS)

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 Δ33 resonance. The intermediate Δ33 spectrum is described by a mean spectral energy, Ems, where the shift Ems represents the average of the Δ33-nucleus mean field, UΔ, over the nucleon and pion wave functions. We calculate the real part of Ems as a function of mass number A and pion energy ω, assuming that UΔ 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.

PI NUCLEUS: ELASTIC SCATTERING
ELASTIC SCATTERING: PI NUCLEUS
POTENTIAL: OPTICAL
APPROXIMATION: IMPULSE
DELTA(1232): PROPAGATOR
ENERGY SPECTRUM
APPROXIMATION: MEAN FIELD
EFFECT: DISPERSION
DIFFERENTIAL CROSS SECTION: ANGULAR DEPENDENCE
ANGULAR DEPENDENCE: DIFFERENTIAL CROSS SECTION

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