Abstract

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.

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