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Using a first principles derived two-orbital model ($d_{x^2-y^2}$,$d_{3z^2-r^2}$) and a random phase approximation treatment of thespin-fluctuation pairing vertex, we calculate the $d$-wave and $s^\pm$-wavepairing strengths for a model of the recently discovered Ba$_2$CuO$_{3+\delta}$superconductor. We find that there is significant pairing strength in both ofthese channels. These results provide an interesting perspective on therelationship between the cuprates and Fe-based superconductors and thehigh-$T_c$ pairing mechanism.

$d$-wave and $s^\pm$ Pairing Strengths in Ba$_2$CuO$_{3+\delta}$