$\mathcal{P},\mathcal{T}$-odd energy shifts of the ${}^{173}\mathrm{YbOH}$ molecule

The energy shift in molecular spectra due to interaction of the nuclear magnetic quadrupole moment ($M$) with electrons is equal to $\delta E_M=M{W}_M{P}_M$ where $W_M$ is a constant determined by the electronic structure of the molecule and $P_M$ is a dimensionless constant. We extended the method for calculation of parity nonconservation effects in triatomic molecules developed in Ref. [A. Petrov and A. Zakharova, Phys. Rev. A 105, L050801 (2022)] to the case of $P_M$ constant and applied it to ${}^{173}\mathrm{YbOH}$ in the first excited $v=1$ bending mode. Results of our calculations are required for extraction of the $M$ value from the YbOH experiment.

Figure 1

The calculated polarizations $P$ and $P_M$ and ratio $P/P_M$. The abscissa numbering the states by increasing energy. Calculations were performed for electric field $E=150$ V/cm. For levels suggested for experiment the $P/P_M$ values are marked by red (bold style).

Figure 2

Calculated polarizations $P$ and $P_M$ for the $M_F=0.5$ of the lowest $N=1$ rotational level of the first excited $v=1$ bending vibrational mode of ${}^{173}\mathrm{YbOH}$ as functions of the external electric field

Figure 3

The calculated energies of the lowest $N=1$ rotational level of the first excited $v=1$ bending vibrational mode of ${}^{173}\mathrm{YbOH}$ as functions of the external electric field. Zero energy level corresponds to the the lowest energy of $N=1$ states at zero electric field.