Existence of ground states for negative ions at the binding threshold

Abstract

As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition at some critical Z_c. We investigate whether the electrons remain bound when Z=Z_c and whether the radius of the system stays finite as Z_c is approached. Existence of a ground state at Z_c is shown under the condition Z_c<N-K, where K is the maximal number of electrons that can be removed at Z_c without changing the ground state energy.

17 pages

References in corpus (1)

• Bound States at Threshold resulting from Coulomb Repulsion

Cited by in corpus (3)

• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
• Quantum Systems at The Brink
• Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge