Existence of ground states for negative ions at the binding threshold Bellazzini, Jacopo Frank, Rupert Lieb, Élliott Seiringer, Robert ; https://orcid.org/0000-0002-6781-0521 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 &lt; N-K, where K is the maximal number of electrons that can be removed at Zc without changing the energy. World Scientific Publishing 2014 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/1918 Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>. 2014;26(1). doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129055X13500219 info:eu-repo/semantics/altIdentifier/wos/000329928300004 info:eu-repo/semantics/altIdentifier/arxiv/1301.5370 info:eu-repo/semantics/openAccess