The formation of H ~ ion by grazing-angle collisions of hydrogen on an Al(l 11) surface is investigated with the newly developed coupled angular mode method. The capture process involves a dynamical resonant process induced by the collision velocity. All the resonance properties of the H ~ level in front of an Al(l 11) surface are determined: position, width, and angular distribution of ejected electrons. The results are shown to account for the recent observations on H" formation by Wyputta, Zimny, and Winter. PACS numbers: 79.20.Nc, 34.70.+e Charge transfer between a moving atom and a surface is one of the fundamental aspects of the atom-surface interaction processes. Among these processes, the formation of an atomic or molecular negative ion during an interaction with a surface recently received a lot of experimental and theoretical attention [1]. Indeed negative ions have been invoked in quite a few different situations: charge transfer in atom-surface collisions [1], in particular in connection with the production of intense ion beams, resonant electron scattering by adsorbed molecules [2], desorption [3], and reactive scattering [4]; for all these processes the ion formation and destruction processes are of the greatest importance. Although the charge-transfer process has been the subject of numerous theoretical investigations, very few studies have been addressing this problem by quantitatively accurate methods.In the present paper, we report on the first nonperturbative parameter-free study of negative ion formation by dynamical resonant capture applied to the H-Al(lll) collisional system. The H electron affinity is much smaller than the surface work function and H ~~ formation by resonant capture should be inefficient. However, the experimental results of Wyputta, Zimny, and Winter showed that H " was formed in grazing-angle collisions [5], and this was interpreted as due to a dynamical resonant capture. Indeed, when the collision velocity parallel to the surface is important, one must take into account the effect of the frame transformation between the atom and the surface; this changes the energetical resonance condition and leads to a dynamical capture process.Until now, the dynamical resonant capture was only studied by perturbative methods [6-8] containing parameters that can be used in an adjustment procedure; in the H ~-Al case, these were found [8] to fail to reproduce the experimental results [5]. Recently, two methods [9,10] going beyond the perturbation level were developed to study the position and lifetime of atomic levels in front of metal surfaces. Since they did not take the dynamical resonance effect into account, their use was limited to studies of the charge-transfer process at low collision velocities. In the present work, we show that one of them, the coupled angular mode (CAM) method [10], can handle this dynamical effect which is very important for light negative ions as well as for systems with an electron affinity much smaller than the surface work function.The H ~ negative...