  It is shown that, in the bound state picture, the $\Lambda_c(2593)
\to\Lambda_c\gamma$ and $\Lambda_c(2625)\to\Lambda_c\gamma$ decays are severely
suppressed. On the other hand, for their bottom counterparts, which are
predicted to have masses 5900 and 5926 MeV respectively, may have significant
radiative branching ratio. In particular, the
$\Lambda_b(5926)\to\Lambda_b\gamma$ mode may even dominate over the strong
decay mode. The isospin allowed $\Lambda^{**}_Q\to\Sigma_Q\gamma$ mode is
expected to be small.
