Ultraviolet Pumping of Hyperfine Transitions in the Light Elements, with Application to 21 cm Hydrogen and 92 cm Deuterium Lines from the Early Universe

We present new analytic calculations of the coupling between ultraviolet resonance photons and the population of the hyperfine states in the light elements (H, D, and super(3)He super(+)), which include several previously neglected physical processes. Among these are the backreaction of resonant scattering on the pumping radiation, the scattering of Lyb photons, and the effect of local departure from pure Hubble flow. The application of the new treatment to the redshifted hydrogen 21 cm and deuterium 92 cm lines from the high-redshift universe results in an amplitude correction of up to an order of magnitude. We further show that the standard assumption that ultraviolet pumping drives the spin temperature toward the kinetic temperature does not hold for deuterium, whose spin temperature is generally negative.