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arXiv · 1301.5370

Existence of ground states for negative ions at the binding threshold

Jacopo Bellazzini·Rupert L. Frank·Elliott H. Lieb·Robert Seiringer
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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.

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Jacopo Bellazzini, Rupert L. Frank, Elliott H. Lieb, Robert Seiringer. 2013-01-23. Existence of ground states for negative ions at the binding threshold. https://doi.org/10.1142/s0129055x13500219

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