Semi-hadronic charge-parity violation interaction constants in CsAg, FrLi and FrAg molecules

Abstract We present a systematic study of the nucleon-electron tensor-pseudotensor (Ne-TPT) interaction in the francium-silver (FrAg), cesium-silver (CsAg), and francium-lithium (FrLi) molecules which are candidates 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 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 $$W_T({\text {Fr}}) = 2.57 \pm 0.21 [\left&lt;\Sigma \right&gt;_A \textrm{kHz}]$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>W</mml:mi> <mml:mi>T</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mtext>Fr</mml:mtext> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>2.57</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.21</mml:mn> <mml:mrow> <mml:mo>[</mml:mo> <mml:msub> <mml:mfenced> <mml:mi>Σ</mml:mi> </mml:mfenced> <mml:mi>A</mml:mi> </mml:msub> <mml:mtext>kHz</mml:mtext> <mml:mo>]</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , 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 semileptonic four-fermion interaction $$C_{\text {lequ}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mtext>lequ</mml:mtext> </mml:msub> </mml:math> from which nuclear and atomic $$\mathcal{{CP}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>CP</mml:mi> </mml:math> -violating properties arise. GraphicAbstract Nucleon–electron tensorpseudotensor interaction on the Francium target nucleus in the Francium-Silver molecule, where the corresponding Hamiltonian operator is parity- and time-reversal violating. Details of the interaction are explained in the paper body. These interactions give rise to molecular charge-parity violating effects that can be detected by experiments.