Using hyperspherical coordinates and assuming the quasiseparability of the
hyperradius R from the angular variables Omega in the wave functions, we ob
tain the low-lying adiabatic channel potentials U-mu(R) for the two-dimensi
onal D- centers. In the large-R limit, these potential curves converge to t
he thresholds of the energy levels of the neutral donor. The energy eigenst
ates supported by these potentials an calculated. The correlation patterns
in these channels and the effect of symmetry are investigated.