${}^{10}$B+$\alpha$ states with chain-like structures in ${}^{14}$N

Abstract

I investigate ${}^{10}$B+$\alpha$ cluster states of ${}^{14}$N with a ${}^{10}$B+$\alpha$ cluster model. Near the $\alpha$-decay threshold energy, I obtain $K^{\pi }=3^{+}$ and $K^{\pi }=1^{+}$ rotational bands having ${}^{10}$B($3^{+}$)+$\alpha$ and ${}^{10}$B($1^{+}$)+$\alpha$ components, respectively. I assign the band-head state of the $K^{\pi }=3^{+}$ band to the experimental $3^{+}$ at $E_x$=13.19 MeV of ${}^{14}$N observed in $\alpha$ scattering reactions by ${}^{10}$B and show that the calculated $\alpha$-decay width is consistent with the experimental data. I discuss an $\alpha$-cluster motion around the ${}^{10}$B cluster and show that ${}^{10}$B+$\alpha$ cluster states contain significant components of a linear-chain 3$\alpha$ configuration, in which an $\alpha$ cluster is localized in the longitudinal direction around the deformed ${}^{10}$B cluster.

Comments: 14 pages, 11 figures, 2 tables