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S-Wave Resonances Below the Ps(\(\hbox {n}\displaystyle = 2\)) Excitation Threshold of the Positron–Helium System Embedded in Dense Quantum Plasma

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Abstract

Effects of dense quantum plasma on the S-wave resonance states in positron–helium system have been studied by calculating the density of resonance states with in the framework of the stabilization method. The screened interactions in plasma have been taken care of by a modified Debye–Huckel potential. A model potential has been used to represent the interaction between the outer electron and the He\(^+\) ionic core. Two resonance states below the \(\hbox {Ps}(n=2){-}\hbox {He}^+\) threshold have been identified. For the unscreened case, our present results are in nice accord with some of the best results available in the literature. Furthermore, a comparative study has been made on the changes in resonance states with the change in the background plasma—from classical Debye plasma to dense quantum plasma.

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Acknowledgements

The work was supported by the Ministry of Science and Technology of the ROC. A. G. sincerely acknowledge the support received from UGC through Major Research project (F. No. 43-415/2014(SR)).

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Authors and Affiliations

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

    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. Arijit Ghoshal
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  2. Yew Kam Ho
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Correspondence to Arijit Ghoshal.

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Ghoshal, A., Ho, Y.K. S-Wave Resonances Below the Ps(\(\hbox {n}\displaystyle = 2\)) Excitation Threshold of the Positron–Helium System Embedded in Dense Quantum Plasma. Few-Body Syst 58, 138 (2017). https://doi.org/10.1007/s00601-017-1302-6

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  • DOI: https://doi.org/10.1007/s00601-017-1302-6

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