Rotating and vibrating symmetric-top molecule RaOCH3 in fundamental P, T -violation searches

We study the influence of the rotations and vibrations of the symmetric-top ${\mathrm{RaOCH}}_3$ molecule on its effectiveness as a probe for the $\mathcal{P}, \mathcal{T}$-violating effects, such as the electron electric dipole moment and the scalar-pseudoscalar electron-nucleon interaction. 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 $E_{\mathrm{eff}}=47.647\mathrm{GV}/\mathrm{cm}$ and $E_{\mathrm{s}}=62.109\mathrm{kHz}$. The results show larger deviation from the equilibrium values than in triatomic molecules.