  We explore the imprint of the cosmological hydrogen recombination lines on
the power spectrum of the cosmic microwave background (CMB). In particular, we
focus our analysis in the three strongest lines for the Balmer, Paschen and
Brackett series of hydrogen. We expect changes in the angular power spectrum
due to these lines on the level of $0.3 \mu K$ for the H$\alpha$ line, being
maximum at small angular scales ($\ell \approx 870$). The morphology of the
signal is very rich. It leads to relatively narrow spectral features ($\Delta
\nu / \nu \sim 10^{-1}$), with several regions in the power spectrum showing a
characteristic change of sign of the effect as we probe different redshifts or
different multipoles by measuring the power spectrum at different frequencies.
It also has a very peculiar dependence on the multipole scale, connected with
the details of the transfer function at the epoch of scattering. In order to
compute the optical depths for these transitions, we have evolved numerically
the populations of the levels of the hydrogen atom during recombination,
treating simultaneously the evolution of helium. For the hydrogen atom, we
follow each angular momentum state separately, up to the level n=10.
Foregrounds and other frequency dependent contaminants, as Rayleigh scattering,
may be a important limitation for these measurements, although the peculiar
frequency and angular dependences of the effect which we are discussing might
permit to separate it. Detection of this signal using future narrow-band
spectral observations can give information about the details of how the cosmic
recombination proceeds, and how Silk damping operates during recombination.
