  Recently Rydberg atom-ion bound states have been observed using a high
resolution ion microscope (Nature 605, 453 (2022)) and the corresponding
vibrational dynamics has been spectroscopically analyzed. The atom-ion bond is
created by an avoided crossing, which involves a flipping molecular dipole.
Motivated by the discovery of this binding mechanism we address here the
question whether a similar behavior can also occur for ground state diatomic
molecules. Specifically, we investigate the vibrational wave packet dynamics
within the $^1\Sigma^+_g$ electronic ground-state of carbon monoxide (CO),
which shows a zero crossing of its dipole moment function close to its
equilibrium. Via time-evolution of coherent states we demonstrate that indeed a
flipping dipole is obtained and its dynamics can be controlled to some extent.
Varying the coherent state parameter we explore different regions of the
vibrational excitation spectrum thereby tuning the time scales of the rapid
oscillatory motion of the relevant observables, their decay and revivals as
well as the transition to a regime of irregular dynamics.
