Blackbody radiation shift of B$^+$ clock transition

A calculation of the blackbody radiation shift of the B${}^{+}$ clock transition is performed. The polarizabilities of the B${}^{+}$$2{s}^{2}$ ${}^{1}\phantom{\rule{-0.16em}{0ex}}{S}^{e}$, $2s2p$ ${}^{1}\phantom{\rule{-0.16em}{0ex}}{P}^{o}$, and $2s2p$ ${}^{3}\phantom{\rule{-0.16em}{0ex}}{P}^{o}$ states are computed using the configuration interaction method with an underlying semiempirical core potential. The recommended dipole polarizabilities are 9.64(3)${a}_{0}^{3}$, 7.78(3)${a}_{0}^{3}$ and 16.55(5)${a}_{0}^{3}$, respectively. The derived frequency shift for the $2{s}^{2}$ ${}^{1}\phantom{\rule{-0.16em}{0ex}}{S}^{e}$ $\ensuremath{\rightarrow}$ $2s2p$ ${}^{3}\phantom{\rule{-0.16em}{0ex}}{P}_{0}^{o}$ transition at 300 K is 0.0160(5) Hz. The dipole polarizabilities agree with an earlier relativistic calculation [Safronova et al., Phys. Rev. Lett. 107, 143006 (2011)] to better than 0.2$%$. Quadrupole and octupole polarizabilities and nonadiabatic multipole polarizabilities are also reported.