Folding model effect on α+closed shell nuclei

We utilize a binary cluster model that incorporates a single folding (SF) potential along with the α-α interaction. This theoretical framework aims to simultaneously determine whether a SF potential could consistently describe both the internal structural properties (rotational band energies, B(E2) transition strengths, and α-decay widths) and the external dynamics (elastic scattering cross-sections) of the 20 Ne and 44 Ti nuclei, particularly in the α+closed shell configurations. The folding model successfully explains the internal and the external observables of the both nuclei. However, a significant discrepancy arises between the potential depths that describe the internal structure and the scattering data. In case of 44 Ti, the model predicts the weak α-decay widths for the high-spin levels. These findings indicate that this nucleus has a more complex structure in which shell-model interactions are more prominent than a simple clustering configuration.