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I investigate $^{10}$B+$\alpha$ cluster states of $^{14}$N with a$^{10}$B+$\alpha$ cluster model. Near the $\alpha$-decay threshold energy, Iobtain $K^\pi=3^+$ 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 withthe experimental data. I discuss an $\alpha$-cluster motion around the $^{10}$Bcluster and show that $^{10}$B+$\alpha$ cluster states contain significantcomponents of a linear-chain 3$\alpha$ configuration, in which an $\alpha$cluster is localized in the longitudinal direction around the deformed $^{10}$Bcluster.

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