Alpha-cluster model theory ofTi44and an effective two-body interaction

The α${+}^{40}$Ca system is investigated in the framework of the folding model using the Hasegawa-Nagata-Yamamoto effective two-body force. It is shown that the folding potential which can bind not only the higher nodal band with the α${+}^{40}$Ca cluster structure but also the ground-state band can describe well α${+}^{40}$Ca scattering in a wide energy range of $E_{\alpha }$=18–100 MeV. A critique of the α-cluster theory of ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ti}$ using an effective interaction which cannot bind the ground-state band is given.