Abstract
In this paper, a study is made of the interaction of atomic helium with an antiproton within the Born–Oppenheimer approximation. The electronic energy curve is calculated using the variational method with basis sets containing Hylleraas-type basis functions. The energies and nuclear wave functions for 50 s states are then obtained using this potential by solving the nuclear wave equation numerically using the Cooley–Numerov algorithm. It is possible that the state with the lowest energy is a bound state. The remaining states are all above the lowest continuum threshold for and are thus quasi-bound states.
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