Abstract

Energies and lifetimes (widths) of vibrational states above the lowest dissociation limit of $^{16}\mathrm{O}_{3}$ were determined using a previously developed efficient approach, which combines hyperspherical coordinates and a complex absorbing potential. The calculations are based on a recently computed potential energy surface of ozone determined with a spectroscopic accuracy [Tyuterev et al., J. Chem. Phys. 139, 134307 (2013)]. The effect of permutational symmetry on rovibrational dynamics and the density of resonance states in ${\mathrm{O}}_{3}$ is discussed in detail. Correspondence between quantum numbers appropriate for short- and long-range parts of wave functions of the rovibrational continuum is established. It is shown, by symmetry arguments, that the allowed purely vibrational ($J=0$) levels of $^{16}\mathrm{O}_{3}$ and $^{18}\mathrm{O}_{3}$, both made of bosons with zero nuclear spin, cannot dissociate on the ground-state potential energy surface. Energies and wave functions of bound states of the ozone isotopologue $^{16}\mathrm{O}_{3}$ with rotational angular momentum $J=0$ and 1 up to the dissociation threshold were also computed. For bound levels, good agreement with experimental energies is found: The rms deviation between observed and calculated vibrational energies is 1 ${\mathrm{cm}}^{\ensuremath{-}1}$. Rotational constants were determined and used for a simple identification of vibrational modes of calculated levels.

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