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

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