At the critical nuclear charge where an N-electron atom is on the verge of unbinding, the ground state decays faster than exp(-C sqrt(r)) in the K outermost electron distances, assuming Z_c < N-K.
Gridnev, Bound states at threshold resulting from Coulomb repulsion, J
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Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms
At the critical nuclear charge where an N-electron atom is on the verge of unbinding, the ground state decays faster than exp(-C sqrt(r)) in the K outermost electron distances, assuming Z_c < N-K.