$\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state

Abstract

Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. This makes it a promising candidate for experimental study of the $\mathcal{P}$,$\mathcal{T}$-violation. Previous studies concentrated on the calculations for different geometries without the averaging over the rovibrational wave function and stressed the possibility that the dependence of the $\mathcal{P}$, $\mathcal{T}$ parameters on the bond angle may significantly alter the observed value. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian. The potential surface is constructed based on the two-component relativistic CCSD(T) computation employing the generalized relativistic effective core potential (GRECP) for the Radium atom. The averaged values of the parameters $E_{\mathrm{eff}}$ and $E_s$ describing the sensitivity of the system to the electron electric dipole moment and the scalar-pseudoscalar nucleon-electron interaction are calculated and the value of $l$-doubling is obtained.

5 pages, 6 figures

References in corpus (7)

• Precision Measurement of Time-Reversal Symmetry Violation with Laser-Cooled Polyatomic Molecules
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• Enhancement factor for the electric dipole moment of the electron in the BaOH and YbOH molecules
• $\mathcal{P},\mathcal{T}$-Odd and Magnetic Hyperfine Interaction Constants and Excited-State Lifetime for HfF${}^{+}$
• Zeeman interaction in ThO $H^3{\Delta }_1$ for the electron EDM search
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• Effect of the neutron quadrupole distribution in the TaO${}^{+}$ cation
• Weinberg operator contribution to the CP-odd nuclear force in the quark model