Abstract
We have studied the evolution of excited states in an atomic-hydrogen beam undergoing radiative cascade after formation by charge exchange in a gas cell. A simple one-parameter model of the charge-exchange excitation probability is used to estimate the initial population of long-lived Rydberg states. Special attention is paid to the $n=2$ state populations at long times (several microseconds). The persistent Lyman-$\ensuremath{\alpha}$ radiation from the $2P$ state can be a significant source of background for sensitive experiments using the metastable $2S$ state. Numerical and graphical results are presented.
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