Deformation dependence of nuclear clusterization

The allowed and forbidden binary cluster configurations of the ground, superdeformed, and hyperdeformed states of some nuclei are determined, based on the (real or effective) $\mathrm{U}\left(3\right)$ selection rule. The stability of the cluster configurations from the viewpoint of the binding energy is also investigated.

Figure 1

Reciprocal forbiddenness for the ${}^{36}\mathrm{Ar}$ clusterizations. ND stands for the normal deformed (ground) state, while SD and HD indicate super- and hyperdeformed states, respectively.

Figure 2

Energetic stability of binary clusterizations in ${}^{36}\mathrm{Ar}$.

Figure 3

(Color online) Reciprocal forbiddenness $S$ vs the $Z_{light}$ of the studied binary cluster configurations for the ${}^{252}\mathrm{Cf}$ case. The values of $S$ correspond to mean values over channels that have the same $Z_{light}$ and different $A_{light}$.

Figure 4

Energetic stability of binary clusterizations in ${}^{252}\mathrm{Cf}$.