Abstract
The cross sections of the electron capture from a hydrogen atom by a proton or by a helium ion are calculated by the close-coupling (cc) method at high energies up to 5.625 MeV/amu. The cc cross section is always smaller than the Brinkman-Kramers (BK) cross section and the ratio of them approaches to unity monotonically in disagreement with the results of Cheshire et al. as the collision energy increases.