[en] We report a measurement of the energy dependence of the branching ratios for autoionization of the (6p_1/2nd5/2)_J=MJ=3 states of barium into the 5d_3/2εl continuum channels by monitoring the population in each m_j state of the 5d_3/2 residual ion. We use polarization-sensitive laser-induced fluorescence to detect the ion populations. Near the energy of the (6p_1/2ng7/2)_J=3 perturbing resonances, nearly 25% of the doubly excited barium atoms produce the 5d_3/2εh_9/2 channel, requiring an exchange of at least three units of orbital angular momentum between the excited electrons