Landau description for an atomic screened system: the charge symmetry breaking effect

摘要

We have examined the presence of a charge symmetry breaking in a screened system. Using a Thomas-Fermi-type potential and a simple mathematical model, we show that screening on the nuclear charge α induces a charge parametrization α → (α, β) in which appears a new dual charge β in the system. Considering this method, the binding energy of electron becomes invariant under parity symmetry for an order parameter ρ = β α. We find nontrivial solutions for ρ at the minimum of energy which leads to the broken parity symmetry. The equations obtained for this new screening approach is very similar to the Landau theory of phase transition.