A new theoretical framework is presented that uses a localized triaxially deformed Gaussian as the single-particle wave packet. The model space enables us to adequately describe both the deformed mean-field structure and the cluster structure within the same framework. The improvement over the original version of antisymmetrized molecular dynamics which uses the spherical Gaussian is verified by its application to the ${}^{20}\mathrm{Ne}$ nucleus. The coexistence and interplay of the cluster structure and the deformed mean-field structure in the low-excited states of ${}^{20}\mathrm{Ne}$ is studied. In particular, the intraband $E2$ transition probabilities in $K^{\pi }=0_1^{+}$ and $2^{-}$ bands are reproduced without any effective charge.

• Received 8 December 2003

DOI:https://doi.org/10.1103/PhysRevC.69.044319