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The relations between matrix elements of different P- and T-odd weakinteractions are derived.  We demonstrate that similar relations hold for parity nonconserving (PNC)transition amplitudes and electron electric dipole moments (EDM) of atoms andmolecules. This allows to express P- and T-odd effects in many-electron systemscaused by different symmetry-breaking mechanisms via each other using simpleanalytical formulas. We use these relations for the interpretation of theanapole moment measurements in cesium and thallium and for the analysis of therelative contributions of the scalar-pseudoscalar CP-odd weak interaction andelectron EDM to the EDM of Cs, Tl, Fr and other atoms and many polar molecules(YbF, PbO, ThO, etc.). Model-independent limits on electron EDM and theparameter of the scalar-pseudoscalar CP-odd interaction are found from theanalysis of the EDM measurements for Tl and YbF.

Relations between matrix elements of different weak interactions and interpretation of the PNC and EDM measurements in atoms and molecules