2026/05/18 by Abdelmalek Boumali · 1 voice
Physics and Astronomy · #physics.gen-ph
arxiv published 2026/05/18 · arxiv updated 2026/05/27
We generalize Tweed's seminal Born~I formalism for the electron-impact double ionization of two-electron atomic systems (H-, He, Li+) to non-extensive plasma environments described by Tsallis q-statistics. The bare Coulomb interaction is replaced by a q-deformed screened potential, which introduces a unique form factor envelope into the momentum-transfer integrations. We rederive the differential, partial, and total cross sections, demonstrating that this screening regularizes the classical high-energy Bethe logarithm and, in the q < 1 regime, induces diffraction-like oscillations in the angular cross sections. The model is calibrated against digitized historical experimental data to quantify how non-extensive screening deforms the vacuum baseline. Finally, coupling these cross sections to a q-Maxwellian distribution yields the macroscopic rate coefficients and reveals a novel subextensive critical-temperature threshold below which ionization is energetically forbidden.