  This article studies the photodetachment of a single electron anion near an
attractive center. Both the differential and total photodetachment cross
section are analysed. We obtain the electron flux crossing through a spherical
detector centered at the force center using the semiclassical approximation.
The closed-orbit theory gives the total cross section which contains a smooth
background and an oscillatory part. Concrete calculations and discussions are
carried out for two types of wave source: the $s$- and $p_z$-wave source.
Photodetachment processes for three conditions are compared: an anion near an
attractive center, near a repulsive center and in a homogeneous electric field.
