Charge degeneracy for a Thomas–Fermi hydrogen molecule: Bound–unbound transition

JB Diniz, ALA Penna, SL Garavelli… - Solid state communications, 2008 - Elsevier
We study the relationship between quantum screening effects and charge symmetry in the
hydrogen molecule. In this model, the charge symmetry of the molecule is broken in the
presence of the Thomas–Fermi potential exp (− qr)/r. We argue that screening acts as an
external field that promotes charge degeneracy in the system. In the presence of screening
(q≠ 0), the charge symmetry of the H2+ molecule is broken and thus the effective nuclear
charge α splits into two, α→(α, γ), where γ is the dual charge. The effective nuclear charge α …
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