1301.5370 (Jacopo Bellazzini et al.)

Existence of ground states for negative ions at the binding threshold    [PDF]

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

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_cView original: http://arxiv.org/abs/1301.5370