  In this article, we assume that the $(0^+,1^+)$ strange-bottom mesons are the
conventional $b\bar{s}$ mesons, and calculate the electromagnetic coupling
constants $d$, $g_1$, $g_2$ and $g_3$ using the light-cone QCD sum rules. Then
we study the radiative decays $B_{s0}\to B_s^* \gamma$, $B_{s1}\to B_s \gamma$,
$B_{s1}\to B_s^* \gamma$ and $B_{s1}\to B_{s0} \gamma$, and observe that the
widths are rather narrow. We can search for the $(0^+,1^+)$ strange-bottom
mesons in the invariant $B_s \pi^0$ and $B^*_s \pi^0$ mass distributions in the
strong decays or in the invariant $B_s^*\gamma$ and $B_s\gamma$ mass
distributions in the radiative decays.
