Bellazzini, Jacopo and Frank, Rupert L. and Lieb, Elliott Hershel and Seiringer, Robert (2014) Existence of ground states for negative ions at the binding threshold. Reviews in mathematical physics, Vol. 26 (1). ISSN 0129-055X. eISSN 1793-6659. Article.
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As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition. We investigate whether the electrons remain bound and whether the radius of the system stays finite as the critical value 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 energy.
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