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Generalized outer-electron radii of neutral Coulomb atoms

Source: github.com/openai/math/tree/main/preprints/Generalized-oute…

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OpenAI Mathopenai-math/Generalized-outer-electron-radii-of-neutral-Coulomb-atomsSep 24, 2026math.MPAI-generatedscore 0

We prove the radius part of the generalized ionization conjecture for neutral nonrelativistic Coulomb atoms with two spin states. For every choice of ground states, the upper and lower large-nuclear-charge limits of the radius defined by an expected exterior electron mass m are both asymptotic to $(81\pi^2/2)^{1/3}m^{-1/3}$ as m tends to infinity.

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