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We systematically study a set of strongly polar heteronuclear diatomicmolecules composed of laser-coolable atoms for their suitability as sensitiveprobes of new charge-parity violation in the hadron sector of matter. Usingrelativistic general-excitation-rank configuration interaction theory we singleout the molecule francium-silver (FrAg) as the most promising system in thisset and calculate its nuclear Schiff-moment interaction constant to$W^\mathrm{FrAg}_{SM}(\mathrm{Fr}) = 30168 \pm 2504\mathrm{a.u.}$ for thetarget nucleus Fr. Our work includes the development of system-tailored atomicGaussian basis sets for the target atom in each respective molecule.

Candidate Molecules for Next-Generation Searches of Hadronic Charge-Parity Violation