We present an analysis of the structure of dynamical couplings in the vicin
ity of conical intersections between potential energy surfaces that appear
in the treatment of electron capture in ion-molecule collisions. While the
use of geometrical phases can be avoided, rotational couplings between adia
batic wavefunctions display a non-integrable singularity (a pole) at the co
nical intersection, so that passage to a more smoothly varying basis is ind
ispensable.