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Positron Scattering from Hydrogen Atom in Non-ideal Classical Plasmas

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Abstract

The effects of the non-ideality (NI) of classical plasmas on the scattering of positron from the ground state of hydrogen atom have been investigated by solving coupled multi-channel two-body Lippmann–Schwinger equations. Elastic \(e^+-H(1s)\) amplitude, Ps(1s) formation amplitude and elastic \(p-Ps(1s)\) amplitude are calculated by considering the coupling of \(e^+-H(1s)\) and \(p-Ps(1s)\) channels. A pseudopotential which is a function of the Debye length and NI parameter is used to describe the effective interaction potential in non-ideal classical plasmas (NICP). Precise eigenfunctions of H(1s) and Ps(1s) under NICP, obtained within the framework of Rayleigh-Ritz variational principle, are used to evaluate the scattering amplitudes. A comprehensive study is made on the changes brought about in the differential and the total cross sections for the \(e^+-H(1s)\) elastic scattering, \(p-Ps(1s)\) elastic scattering and Ps(1s) formation due to the variation of the NI parameter over a wide range. It is found that the differential cross section for Ps(1s) formation possesses some rich structures.

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Acknowledgements

The authors sincerely acknowledge the support received from DST FIST programme (File No. SR/FST/ MSII/ 2017/ 10(C)).

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  1. Department of Mathematics, Burdwan University, Golapbag, Burdwan, 713104, West Bengal, India

    Kamalika Das, Biswajit Das & Arijit Ghoshal

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  1. Kamalika Das
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Das, K., Das, B. & Ghoshal, A. Positron Scattering from Hydrogen Atom in Non-ideal Classical Plasmas. Few-Body Syst 64, 19 (2023). https://doi.org/10.1007/s00601-023-01801-4

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