Effects of CP-violating internucleon interactions in paramagnetic molecules

We demonstrate that electron electric dipole moment (eEDM) experiments with molecules in a paramagnetic state are sensitive to P, T-violating nuclear forces and other CP-violating parameters in the hadronic sector. These experiments, in particular, measure the coupling constant CSP of the CP-odd contact semileptonic interaction. We establish relations between CSP and different CP-violating hadronic parameters including strength constants of the CP-odd nuclear potentials, CP-odd pion-nucleon interactions, quark-chromo EDM, and QCD vacuum angle. These relations allow us to find limits on various CP-odd hadronic parameters.