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For study of dipole excitations, a new method of variation after$K$-projection in the framework of antisymmetrized molecular dynamics (AMD)with the deformation $\beta$ constraint was proposed. The method was applied to$^{10}$Be and $^{16}$O to describe low-energy dipole excitations and found tobe a useful and economical approach for dipole excitations. In the applicationto $^{10}$Be, two dipole states in low-energy region were described. For$^{16}$O, the $1_1^-$ and $1_2^-$ states with remarkable dipole strengths wereobtained. The $1_1^-$ state is characterized by significant toroidal dipole(TD) and compressional dipole strengths, whereas the $1_2^-$ has significant TDstrength and shows a developed $\alpha + {}^{16}$O cluster structure. Dipoleproperties in $^{16}$O were discussed by analysis of current densities of thedipole transitions.

Variation after $K$-projection in antisymmetrized molecular dynamics for low-energy dipole excitations in $^{10}$Be and $^{16}$O