A model is proposed for studying exotic cluster radioactivities. This model is general and realistic that one can test the actual main treatments of clustering and penetration phenomena in nuclear many-particle systems. A reliable and rather simple approximation derived in this model is found on the continuum hopping treatment of clustering and on an integral formalism of decay dynamics including resonance scattering effects. The half-life estimates are performed for experimentally detected cluster radioactivities and for the most interesting cases under the current experimental search.

• Received 5 December 1994

DOI:https://doi.org/10.1103/PhysRevC.51.2023