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Positronium Negative Ion Embedded in Non-ideal Classical Plasmas: Doubly Excited Singlet S States

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Abstract

The effects of the non-ideality (NI) of the classical plasmas on the doubly excited singlet S states in the positronium negative ion (Ps\(^-\)) are investigated. The organised effect of the plasma is taken care of by means of a pseudopotential which is characterised by the Debye length D and the non-ideality parameter \(\gamma \). Using an extensive wavefunction within the framework of the stabilization method, it has been possible to identify four doubly excited states (DES) in Ps\(^-\). The convergence of the energy and the width of those states are corroborated by increasing the number of terms in the wavefunction. Our present calculation for the plasma-free case reproduces the established results. An inclusive study is made to quantify and qualify the changes experienced by the energies and the widths of those states due to the influence of the NI over a wide range. It is observed that the energy of each DES increases and the width of each DES diminishes due to the effect of the increasing NI of the plasma.

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Acknowledgements

This work was supported by the Science and Engineering Research Board, India, through the Research Project (File No. CRG/2022/005219).

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Authors and Affiliations

  1. Department of Mathematics, Burdwan University, Golapbag, Burdwan, West Bengal, 713 104, India

    Netai Das & Arijit Ghoshal

  2. Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, 106, Taiwan

    Yew Kam Ho

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  1. Netai Das
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  2. Arijit Ghoshal
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  3. Yew Kam Ho
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Contributions

N.D. carried out calculations, collected results, prepared figures and tables. A.G. conceptualized the problem, supervised calculations and wrote the main manuscript. Y.K.H mentored over-all things.

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Correspondence to Arijit Ghoshal.

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Das, N., Ghoshal, A. & Ho, Y.K. Positronium Negative Ion Embedded in Non-ideal Classical Plasmas: Doubly Excited Singlet S States. Few-Body Syst 65, 46 (2024). https://doi.org/10.1007/s00601-024-01914-4

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