Electron correlation study for two-electron atoms by a simple correlated wave function

The difference in the electron correlation between H^- and other two-electron atoms is clarified by the introduction of the r₁₂ term in the wave function. By using the expansion of r₁₂, a certain modification of the usual electron correlation factor 1 + Cr₁₂ is introduced and its effectiveness is examined. Calculations are carried out for the ground state and the three lowest excited states (2³S, 2³P and 2¹P). The peculiar electron correlation in the ground state of H^? is shown by looking at the Coulomb hole for closed- and open-shelf models in comparison with those for other two-electron atoms.