Does Bose-Einstein condensation of CMB photons cancel μ distortions created by dissipation of sound waves in the early Universe?

@article{Khatri2012DoesBC,
  title={Does Bose-Einstein condensation of CMB photons cancel $\mu$ distortions created by dissipation of sound waves in the early Universe?},
  author={Rishi Khatri and Rashid Alievich Sunyaev and Jens Chluba},
  journal={Astronomy and Astrophysics},
  year={2012},
  volume={540},
  pages={1-10}
}
The difference in the adiabatic indices of photons and non-relativistic baryonic matter in the early Universe causes the electron temperature to be slightly lower than the radiation temperature. Comptonization of photons with colder electrons results in the transfer of energy from photons to electrons and ions, owing to the recoil effect (spontaneous and induced). Thermalization of photons with a colder plasma results in the accumulation of photons in the Rayleigh-Jeans tail, aided by… 

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