Cluster structures and monopole transitions of ${}^{14}$C

Abstract

Cluster structures of ${}^{14}$C were investigated with a method of antisymmetrized molecular dynamics (AMD) combined with a $3\alpha +nn$ cluster model while focusing on the monopole excitations and linear-chain $3\alpha$ band. Variation after parity and angular momentum projections was performed in the AMD framework, and the generator coordinate method was applied to take into account various $3\alpha +nn$ cluster configurations. Energy spectra and monopole and $E2$ transition strengths of $0^{+}$, $2^{+}$, and $4^{+}$ states were calculated to assign band structures. The $0_3^{+}$ state with remarkable monopole transition was obtained as a vibrational mode of the triangle $3\alpha$ configuration. In addition, the linear-chain $3\alpha$ band from the band-head $0_4^{+}$ state was obtained. ${}^{10}$Be$+\alpha$ decay widths of $0^{+}$, $2^{+}$, and $4^{+}$ states were evaluated. $\alpha$ inelastic scattering off ${}^{14}$C was also investigated by the microscopic coupled-channel calculation with the $g$-matrix folding model to propose possible observation of the $0_3^{+}$ state via $\alpha$ scattering experiments.

arXiv comment9 pages, 6 figures

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