= Christopher M. Hirata
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<Christopher M. Hirata> developed the HyRec calculation of <cosmological recombination> with <Yacine Ali-Haïmoud>. Their method couples atomic level populations, the free <electron> fraction and <radiative transfer>, including two-photon transitions and diffusion near the <Lyman-alpha line>.<HyRec: A fast and highly accurate primordial hydrogen and helium recombination code by Yacine Ali-Haïmoud and Christopher M. Hirata>[Abstract: effective multilevel atom and coupled radiation evolution]{ref}
The scientific need is predictive accuracy: the free <electron> population sets the <Thomson scattering> history that shapes <Cosmic microwave background anisotropy>. Equilibrium ionization alone cannot capture the entire decoupling process.
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