{"id":"openai-math/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms","pdf":"https://github.com/openai/math/blob/main/preprints/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026","tags":["mathematical-physics","coulomb-systems","asymptotic-analysis"],"score":0,"title":"Generalized outer-electron radii of neutral Coulomb atoms","domain":"Mathematical physics","family":"263","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"The ionization and generalized ionization conjectures"}