Sd. Oh et al., DEPENDENCE OF POTENTIALS ON ATOMIC SHAPE RESONANCE FEATURES IN INDEPENDENT-PARTICLE APPROXIMATION .1., Journal of the Korean Physical Society, 28(3), 1995, pp. 277-281
A shape resonance corresponds to a quasi-bound state in an inner well
potential followed by a positive barrier, characterized by the rapid v
ariation of the wave function amplitude in a short range of energies.
The barrier between the inner and outer wells results from the interpl
ay between the centrifugal repulsion and the reduction of the screenin
g in the inner region. Shape resonances are, therefore, quite sensitiv
e to the details of the atomic potential. We study the suitability of
various choices for the independent particle approximation potentials,
including such issues as characterization by local exchange and use o
f a Latter tail versus vacancy potentials. In general, the Hartee-Fock
-Slater potential with a Latter tail model has more resonant-like peak
s than the vacancy potential models. The counting of the electron-exch
ange term in vacancy potential is checked.