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The coexistence of various low-lying deformed states in $^{42}$Ca and $alpha$--$^{38}$Ar correlations in those deformed states have been investigated using deformed-basis antisymmetrized molecular dynamics. Wave functions of the low-lying states are obtained via parity and angular momentum projections and the generator coordinate method (GCM). Basis wave functions of the GCM calculation are obtained via energy variations with constraints on the quadrupole deformation parameter $beta$ and the distance between $alpha$ and $^{38}$Ar clusters. The rotational band built on the $J^pi = 0_2^+$ (1.84 MeV) state as well as the $J^pi = 0_3^+$ (3.30 MeV) state are both reproduced. The coexistence of two additional $K^pi = 0^+$ rotational bands is predicted; one band is shown to be built on the $J^pi = 0_3^+$ state. Members of the ground-state band and the rotational band built on the $J^pi = 0_3^+$ state contain $alpha$--$^{38}$Ar cluster structure components.
Coupling of cluster and deformed structures are important for dynamics of nuclear structure. Threshold energy has been discussed to explain cluster structures coupling to deformed states but relation between threshold energy and excitation energy has
The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate isosceles triangul
The interplay between the formation of neutron skin and alpha cluster at the dilute surface of neutron-rich nuclei is one of the interesting subjects in the study of neutron-rich nuclei and nuclear clustering. A theoretical model has predicted that t
The fragmentation of quasi-projectiles from the nuclear reaction $^{40}$Ca+$^{12}$C at 25 MeV per nucleon bombarding energy was used to produce $alpha$-emission sources. From a careful selection of these sources provided by a complete detection and f
We investigate the possibility of the existence of the exotic torus configuration in the high-spin excited states of $^{40}$Ca. We here consider the spin alignments about the symmetry axis. To this end, we use a three-dimensional cranked Skyrme Hartr