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ARPN Journal of Engineering and Applied Sciences

Relativistic perspectives on e± impact ionization of hydrogen (2S) in symmetric coplanar geometries

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Author S. Banerjee and S. Dhar
e-ISSN 1819-6608
On Pages 669-677
Volume No. 21
Issue No. 10
Issue Date July 20, 2026
DOI https://doi.org/10.59018/052672
Keywords relativistic, hydrogen atom, electron impact, positron impact, cross-sections, scattering.


Abstract

In the higher-order Born approximation and within a symmetric coplanar geometry, we analytically calculate the triple differential cross sections (TDCSs) for electron and positron impact ionization of atomic hydrogen with its metastable 2S state, considering both low and high energy regimes. This is done for hydrogen atoms for incident electron energies of 250 eV and 511002 eV. The final state wave function is described using multiple scattering theory. The results reveal several intriguing characteristics. Relativistic and spin effects affect the triple differential cross sections. Due to the absence of theoretical models and data from experiments on this process, we are currently unable to validate our model against the findings. However, we believe that our work will provide a valuable foundation for future experimental and theoretical research in this area.

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