R. Fandreyer et Pg. Burke, RESONANCE EFFECTS IN LOW-ENERGY-ELECTRON SCATTERING BY HBR, Journal of physics. B, Atomic molecular and optical physics, 29(2), 1996, pp. 339-343
Earlier ab initio calculations for electron scattering by HBr are anal
ysed to obtain the behaviour of the S-matrix poles in the complex mome
ntum plane as a function of the internuclear distance, This analysis s
hows the existence of a pole corresponding to a bound state at large i
nternuclear distances as well as a pole corresponding to a shape reson
ance at small internuclear distances. It is found that the bound-state
pole does not evolve into the shape resonance pole as the internuclea
r distance decreases but instead splits into two mirror image poles wh
ich move onto unphysical Riemann sheets of the complex momentum plane
confirming model-potential calculations by Herzenberg and Saha. The ph
ysical implications of the mirror image poles and the shape resonance
pole are also discussed.