Sensitivity of the YbOH molecule to $\mathcal{P}$,$\mathcal{T}$-odd effects in the external electric field
/ Authors
/ Abstract
Electron electric dipole moment (eEDM) search using lasercoolable triatomics like YbOH is one of the most sensitive probes for physics beyond the Standard Model. The eEDM-induced energy shift is proportional to polarization ( P ) of the molecule. Similarly to diatomics with Ω − doubling structure it was assumed that for triatomics with l − doubling structure, related to the vibrational angular momentum, P can easily be saturated to almost 100% value with moderate external electric field. We developed the method for calculation of properties of triatomic molecules and applied it to calculation of P of 174 YbOH in the first excited v = 1 bending mode. Calculations showed that the most of the levels reach less than 50% efficiency. We showed that this fact is related to the Hund’s case b coupling scheme of YbOH. As coupling scheme (for Ω = 1 / 2 molecules) approaches a (or c ) case polarization increases up to 100% value. Results of our calculations should be used for correct extracting of eEDM value from YbOH experiment and similar calculations are required for other molecules.