Semi-Hadronic Charge-Parity Violation Interaction Constants in CsAg, FrLi and FrAg molecules

We present a systematic study of the nucleon-electron tensor-pseudotensor (Ne-TPT) interaction in candidate molecules for next-generation experimental searches for new sources of charge-parity violation. The considered molecules are all amenable to assembly from laser-cooled atoms, with the francium-silver (FrAg) molecule previously shown to be the most sensitive to the Schiff moment interaction in this set. Interelectron correlation effects are treated through relativistic general-excitation-rank configuration-interaction theory in the framework of the Dirac-Coulomb Hamiltonian. We find in FrAg the Ne-TPT interaction constant to be W_T\({Fr}\) = 2.58 pm 0.21 \[left<Σright>_A kHz\], considering the Francium atom as target of the measurement. Taking into account nuclear structure in a multi-source interpretation of a measured electric dipole moment, FrAg is found to be an excellent probe of physics beyond the Standard Model as this system will in addition to its sizeable Ne-TPT interaction constant greatly constrain fundamental parameters such as the quantum-chromo-dynamic barθ or the semileptonic four-fermion interaction C_lequ from which nuclear and atomic {cal{CP}}-violating properties arise.