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 $W_T({\text{Fr}}) = 2.58 \pm 0.21 [\left<\Sigma\right>_A \mathrm{kHz}]$, 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 $\bar{\theta}$ or the semileptonic four-fermion interaction $C_{lequ}$ from which nuclear and atomic ${\cal{CP}}$-violating properties arise.