Nonexistence of 1sns Autoionizing States of H−

Abstract

The convergence and coalescence properties of a two‐electron wavefunction containing integral powers and exponential terms in $r_1{\mathrm{,\; r}}_2,\mathrm{and}{r}_{12}$ have been investigated. Solutions were obtained for the singlet and triplet $\text{1sns}$ states for both integral and nonintegral values of the nuclear charge $Z$ , and it is concluded that the $\text{1sns}$ manifold converges to a degenerate eigenvalue as $\text{Z→1}$ for all $\text{n≥2}$ .