Abstract
The resonance scattering of Ly$\alpha$ photons with neutral hydrogen atoms in
the IGM not only couples the spin temperature to the kinetic temperature but
also leads to a heating of the gas. We investigate the impact of this heating
on the average brightness temperature of the 21-cm signal from the Cosmic Dawn
in the context of the claimed detection by the EDGES low-band experiment. We
model the evolution of the global signal taking into account the Ly$\alpha$
coupling and heating and a cooling which can be stronger than the Hubble
cooling. Using the claimed detection at $z17$ from the EDGES low-band
observations as a constraint, we find that a strong Ly$\alpha$ background is
ruled out. Instead the results favour a weak Ly$\alpha$ background combined
with an excess cooling mechanism which is substantially stronger than
previously considered.
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