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Properties of the Positronium Negative Ion Embedded in Non-ideal Classical Plasmas

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Abstract

Properties of the positronium negative ion embedded in non-ideal classical plasmas have been studied theoretically. A pseudopotential, derived from a solution of Bogolyubov’s hierarchy equations, is used to describe the interaction potentials of the charged particles in the ion. A large basis set is employed in Rayleigh–Ritz variational method to compute accurately various quantities, such as binding energy, cusp values, annihilation rate, associated with the ground state of the ion. A detailed study is made on the effects of non-ideality of plasma on those quantities. In particular, special emphasis is given to determine the ranges of plasma screening parameters within which the ion remains stable.

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Acknowledgements

The work has been supported by the Science and Engineering Research Board, India through the Research Project (FILE NO. EMR/2017/004985). Authors sincerely acknowledge the support received from DST PURSE Phase 2 (No. SR/PURSE Phase 2/34).

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

    Biswajit Das & Arijit Ghoshal

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  1. Biswajit Das
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Das, B., Ghoshal, A. Properties of the Positronium Negative Ion Embedded in Non-ideal Classical Plasmas. Few-Body Syst 61, 22 (2020). https://doi.org/10.1007/s00601-020-01556-2

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