Abstract
A new region of proton-rich parent nuclei decaying by spontaneous cluster emission with a measurable branching ratio relative to alpha decay is predicted within the analytical superasymmetric fission model. After a brief presentation of the model and of the seven mass tables used to calculate the released energy, the obtained results are discussed. Measurable half-lives and branching ratios are estimated for $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{28}\mathrm{Si}$, and other cluster radioactivities of some nuclides having proton and neutron numbers in the range Z=56--64 and N=58--72. Such nuclei far from stability could be produced in reactions induced by radioactive beams.
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