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Lyman-alpha absorption spectrum of the primordial intergalactic medium

We investigate and simulate Lyα absorption by the primordial hydrogen (the IGM) in the cold dark matter cosmology taking into account the Doppler effect of peculiar velocity. The IGM density is found to follow n(x 1 )∞exp [(1/4πx b 2 )∫ e −xb/x12 (1/x 12 )δ DM (x 2 )dx 2 ] with δ DM being the CDM density contrast and x b being the Jeans length of the IGM. Four IGM models are simulated according to their mean density Ω H , temperature T, and clumping factor ζ IGM (0) at the redshift range 2.5-3.0