This paper reports the elastic scattering cross sections for a few low-lying partial waves and also the converged elastic cross sections with added partial waves in the energy range 10(-10)-10(-2) a.u. for the (H) over bar -H system using atomic orbital techniques. The present s-wave predictions are in good agreement with the other existing theoretical estimates. Nonzero low-order partial-wave elastic cross sections show dips like for s-wave scattering. The, converged elastic cross section shows structurelike behavior in the energy range 4.2 X 10(-4)-10(-2) a.u.691