  In this paper we present a physics model for the interactions of stable heavy
hadrons containing a heavy parton with matter. The model presented is a natural
continuation of the work started in hep-ex/0404001. However, changes and
generalisations have been made allowing for the description of a broader scope
of physics scenarios. As a special case the model is tested on the cases of
stable gluino and stop hadrons, thus covering both stable colour triplet and
octet states. Conclusions are drawn regarding the phenomenology of these cases
including how to distinguish between them.
