Constraints on T-odd and P-even hadronic interactions from nucleon, nuclear, and atomic electric dipole moments.

Abstract

We deduce constraints on time-reversal-noninvariant (TRNI), parity-conserving (PC) hadronic interactions from nucleon, nuclear, and atomic electric dipole moment (EDM) limits. Such interactions generate EDM's through weak radiative corrections. We consider long-range mechanisms, i.e., those mediated by meson exchanges in contrast with short-range two-loop mechanisms. We find that the ratio of typical TRNI, PC nuclear matrix elements to those of the strong interaction are \ensuremath{\lesssim}${10}^{\mathrm{\ensuremath{-}}5}$, a limit about 2 orders of magntiude more stringent than those from direct detailed balance studies of such interactions. This corresponds to a bound of \ensuremath{\Vert}g${\mathrm{\ifmmode\bar\else\textasciimacron\fi{}}}_{\mathrm{\ensuremath{\rho}}}$\ensuremath{\Vert}\ensuremath{\lesssim}${10}^{\mathrm{\ensuremath{-}}3}$, where g${\mathrm{\ifmmode\bar\else\textasciimacron\fi{}}}_{\mathrm{\ensuremath{\rho}}}$ is a TRNI PC \ensuremath{\rho}NN coupling.