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 Zc. We investigate whether the electrons remain bound when Z=Zc and whether the radius of the system stays finite as Zc is approached. Existence of a ground state at Zc is shown under the condition Zc<N-K, where K is the maximal number of electrons that can be removed at Zc without changing the ground state energy.
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