Bound on the excess charge for bosonic systems interacting through Coulomb potentials

TL;DR

This paper establishes a new upper limit on the excess charge in non-relativistic atomic systems with Coulomb interactions, improving previous bounds and applicable regardless of particle statistics.

Contribution

It provides a tighter upper bound on excess charge in atomic systems, extending Lieb's 1984 result to all systems with nuclear charge Z ≥ 12.

Findings

New upper bound on excess charge independent of particle statistics

Improves Lieb's 1984 bound for Z ≥ 12

Applicable to a broad class of atomic systems

Abstract

We prove an upper bound on the excess charge for non-relativistic atomic systems, independent of the particle statistics. This result improves Lieb's bound of 1984 for any $Z \ge 12$.