A semimicroscopic algebraic cluster model for heavy nuclei

An extension of the Semimicroscopic Algebraic Cluster Model (SACM) is proposed, based on pseudo-SU(3) model. The Hamiltonian and spectroscopic factor operator model are presented a procedure constructing space. Because huge number SU(3) irreducible representations (irrep) appear, one has to be careful in designing practical, consistent path reduce Hilbert concept forbiddenness, taking into account excitations clusters, introduced applied. applications two systems with low namely 236U -> 210Pb + 26Ne 224Ra 14C, 146Xe 90Sr, which appears fission 236U, requires large forbiddenness. Energies, electromagnetic transitions factors calculated.