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We numerically study the ground state properties of endohedrally and
exohedrally confined hydrogen (H) or helium (He) atom by a molecule
of C$_{60}$. Our study is based on Diffusion Monte Carlo method. We
calculate the effects of centered and off-centered H- or He-atom on
the ground state properties and describe the variation of ground
state energies due to the C$_{60}$ parameters and confined atomic
nuclei positions. Finally, we calculate the electron distributions
along different axes in a wide range of C$_{60}$ parameters.
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