Comment on "Two-photon approximation in the theory of electron
  recombination in hydrogen" (D. Solovyev and L. Labzowsky, Phys. Rev. A 81,
  062509 (2010))
  The results for the total multi-photon decay rates of the 3p and 4s levels of
hydrogen, presented by D. Solovyev and L. Labzowsky within the cascade
approximation, are revisited. The corrected results for certain decay channels
differ from original ones of those authors sometimes by order of magnitude.
Some aspects with respect to the cosmological recombination process are
clarified.
