  The absorption spectra of the cold Na2 molecule dressed by a linearly
polarized standing laser wave is investigated. In the studied scenario the
rotational motion of the molecules is frozen while the vibrational and
translational degrees of freedom are accounted for as dynamical variables. In
such a situation a light-induced conical intersection (LICI) can be formed. To
measure the spectra a weak field is used whose propagation direction is
perpendicular to the direction of the dressing field but has identical
polarization direction. Although LICIs are present in our model, the
simulations demonstrate a very robust absorption spectrum, which is insensitive
to the intensity and the wavelength of the dressing field and which does not
reflect clear signatures of light-induced nonadiabatic phenomena related to the
strong mixing between the electronic, vibration and translational motions.
However, by widening artificially the very narrow translational energy level
gaps, the fingerprint of the LICI appears to some extent in the spectrum.
