The low-lying spectra of parabolic quantum dots with or without an impurity
at the center are investigated. While it has been known that the electron-
electron interaction leads to ground-state transitions on magic Values of a
ngular momentum in a magnetic field. We show, in this paper, that the impla
ntation of an impurity ion at the center can either enhance or suppress suc
h transitions, depending on whether it is an acceptor or a donor ion.