Rotating and vibrating symmetric top molecule RaOCH${}_3$ in the fundamental $\mathcal{P}$, $\mathcal{T}$-violation searches

Abstract

We study the influence of the rotations and vibrations of the symmetric top RaOCH${}_3$ molecule on its effectiveness as a probe for the $\mathcal{P}$ and $\mathcal{T}$-violating effects, such as the electron electric dipole moment (eEDM) and the scalar-pseudoscalar electron-nucleon interaction (Ne-SPS). The corresponding enhancement parameters $E_{\mathrm{eff}}$ and $E_{\mathrm{s}}$ are computed for the ground and first excited rovibrational states with different values of the angular momentum component $K$. For the lowest $K$-doublet with $v_{\perp }=0$ and $K=1$ the values are $E_{\mathrm{eff}}=47.647GV/cm$ and $E_{\mathrm{s}}=62.109\mathrm{kHz}$. The results show larger deviation from the equilibrium values than in triatomic molecules.

Comments: Equations (56) and (57) were corrected. Results for the Es and Eeff were improved