Correlating Schiff moments in the light actinides with octupole moments

Abstract

We show that the measured intrinsic octupole moments of ${}^{220}$Rn, ${}^{224}$Ra, and ${}^{226}$Ra constrain the intrinsic Schiff moments of ${}^{225}$Ra${}^{221}$Rn, ${}^{223}$Rn, ${}^{223}$Fr, ${}^{225}$Ra, and ${}^{229}$Pa. 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 non-invariant interaction produced by CP-violating fundamental physics. Those matrix elements are also correlated with octupole moments, but with a larger systematic uncertainty.

Comments: 5 pages, 3 figures, supplementary material