We develop a simple analytic calculation for the first order wave function of helium in a model in whichnuclear charge screening is caused by repulsive coulomb interaction.The perturbation term, first-order correlation energy,and first-order wave function are divided into two components, one component associated with the repulsive coulombinteraction and the other proportional to magnetic shielding.The resulting first-order wave functions are applied tocalculate second-order energies within the model.We find that the second-order energies are independent of the nuclearcharge screening constant in the unperturbed Hamiltonian with a central coulomb potential.