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 noninvariant interaction produced by CP-violating fundamental physics. Those matrix elements are also correlated with octupole moments, but with a larger systematic uncertainty.
Highlights
The observation of a nonzero electric dipole moment (EDM) in a particle, atom, or molecule with a nondegenerate ground state would signal the violation of timereversal (T) symmetry, which in any realistic field theory implies the violation of charge-parity (CP) symmetry
About 20 years ago, it was realized [3,4] that atoms whose nuclei are asymmetrically shaped would have enhanced EDMs if the CP violation occurred within the nucleus
The accuracy of all these approximations means that we can consider the Schiff and octupole transition matrix elements to be directly proportional to the corresponding intrinsic moments, the correlation of which we address in more detail
Summary
The only significant source of nuclear-physics error in the laboratory Schiff moments will be the intrinsic matrix elements of the time-reversal noninvariant interaction produced by CP-violating fundamental physics. Those matrix elements are correlated with octupole moments, but with a larger systematic uncertainty. The observation of a nonzero electric dipole moment (EDM) in a particle, atom, or molecule with a nondegenerate ground state would signal the violation of timereversal (T) symmetry, which in any realistic field theory implies the violation of charge-parity (CP) symmetry. [8]): the presence of a partner jΨ 0i for the ground state jΨ0i—with the same intrinsic structure and angular momentum but opposite parity—at a low excitation energy ΔE. Because of the radial weighting in Eq (2), 0031-9007=18=121(23)=232501(6)
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