Positron Annihilation in Helium and the System of e+ He Bound State

Abstract

Within the framework of the valence bond method, the system of $e^{+}$ He bound state was treated with a two‐center problem approximation. The $e^{+}$ He bound state was found to have a binding energy of 5.03 eV at its equilibrium‐positron–helium‐nucleus distance, $R_e\text{\hspace{0.17em}=\hspace{0.17em}0.693 Å}$ . The ratio of the effective nuclear charges for the positron and for the helium nucleus ε was found to have a value of 0.63 at $R_e$ . An attempt was made to compare the results of the present work with those of others.