Current experiments in storage rings at Aarhus and Stockholm reveal th
at ions such as CH3+, OH3+, OH2+ and CH5+ recombine and fragment into
three parts more often than into just two. Analysis of the possible re
sonances between free electron and bound electron states for the ions
require a detailed examination of the correlation effects as well as t
he coupling to nuclear degrees of freedom. The problem is well suited
for the propagator approach. An analysis of the structure of the self-
energy kernel shows the presence of possible resonances with degenerat
e electronic states which are unstable according to the Jahn-Teller th
eorem and provides channels for multiple fragmentation.