Correlating Schiff Moments in the Light Actinides with Octupole Moments

We show that the measured intrinsic octupole moments of Rn220, Ra224, and Ra226 constrain the intrinsic Schiff moments of Ra225, Rn221, Rn223, Fr223, Ra225, and Pa229. The result is a dramatically reduced uncertainty in intrinsic Schiff moments. Direct measurements of octupole moments in odd nuclei will reduce the uncertainty even more. The only significant source of nuclear-physics error in the laboratory Schiff moments will then be the intrinsic matrix elements of the time-reversal noninvariant interaction produced by CP-violating fundamental physics. Those matrix elements are also correlated with octupole moments, but with a larger systematic uncertainty.