Based on the DS3C model, the calculation program is modified under the framework of the residual electron shielding theory. Meanwhile, a theoretical calculation has been made of the triple differential scattering cross section of He atoms under the geometric condition of cross section dependence upon the momentum transfer, with a comparative study on DS3C model and three modified models, to be followed by an investigation of the correlation characteristics on the incident shells and the outgoing particles in the collision process, as well as an inquiry into the influence of the residual electron shielding effect on the cross section under different theoretical models. The results show that the residual electron shielding effect reduces the amplitude of the triple differential scattering cross section in the forward scattering region, but with a little effect on the amplitude of the backscattering region.