Clusterization in the shape isomers of the 56Ni nucleus

The interrelation of the quadrupole deformation and clusterization is investigated in the example of the ${}^{56}$Ni nucleus. The shape isomers, including superdeformed and hyperdeformed states, are obtained as stability regions of the quasidynamical U(3) symmetry based on a Nilsson calculation. Their possible binary clusterizations are investigated by considering both the consequences of the Pauli exclusion principle and the energetic preference.