Isospin dependence of Pauli corrections to the pion-nucleus optical potential
We examine how the Pauli exclusion principle affects the pion-nucleus optical potential U in the region of the ..delta../sub 33/ resonance, i.e., for pion kinetic energies of 50--300 MeV. In our formulation the exchange effects enter through n-body correlation functions and contribute to U as higher-order corrections in a density expansion. We study the rate of convergence of the expansion and derive an integral equation that sums selected exchange terms to all orders. We calculate the isoscalar, isovector, and isotensor components of U for the cases of infinite nuclear matter and finite nuclei. We identify the limiting conditions under which our treatment of the Pauli effect reduces to that in more familiar approaches.
- Research Organization:
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 5512041
- Journal Information:
- Phys. Rev. C; (United States), Vol. 32:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
PAULI PRINCIPLE
ISOSPIN
PION REACTIONS
OPTICAL MODELS
CORRELATION FUNCTIONS
EIKONAL APPROXIMATION
GREEN FUNCTION
INTEGRAL EQUATIONS
MESON RESONANCES
MEV RANGE 10-100
MEV RANGE 100-1000
NUCLEAR MATTER
NUCLEAR POTENTIAL
PROPAGATOR
SCATTERING
BOSONS
CHARGED-PARTICLE REACTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FUNCTIONS
HADRON REACTIONS
HADRONS
MATTER
MESON REACTIONS
MESONS
MEV RANGE
NUCLEAR REACTIONS
PARTICLE PROPERTIES
POTENTIALS
RESONANCE PARTICLES
653003* - Nuclear Theory- Nuclear Reactions & Scattering
653007 - Nuclear Theory- Nuclear Models- (-1987)