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Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z

1
Department of Physics, Harbin Institute of Technology, Harbin 150001, China
2
Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan
*
Author to whom correspondence should be addressed.
Atoms 2019, 7(2), 53; https://doi.org/10.3390/atoms7020053
Received: 29 April 2019 / Revised: 16 May 2019 / Accepted: 29 May 2019 / Published: 3 June 2019
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
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Abstract

The question of stability of a given quantum system made up of charged particles is of fundamental interest in atomic, molecular, and nuclear physics. In this work, the stability for the negatively charged positronium (Ps)-like ions or the three-body system ( Z e + , e , e ) with Yukawa potentials is studied using correlated exponential wavefunctions based on the Ritz variational method. We obtained the critical screening parameter μ C as a function of the continuously varied nuclear charge Z , the critical nuclear charge Z C as a function of the screening parameter μ , and the ionization energies in terms of the screening parameter μ and Z . The critical nuclear charge for the bare Coulomb system ( Z e + , e , e ) obtained using 700-term correlated exponential wavefunctions is in accord with the reported results. The ionization energy, μ C , and Z C for the Yukawa system ( Z e + , e , e ) exhibit interesting behaviors. The present study describes the possible nonexistence of Borromean binding as well as Efimov states. The possible existence of quasi-bound resonances states for the negatively charged screened Ps-like ions is briefly discussed. View Full-Text
Keywords: critical stability; critical nuclear charge; critical screening parameter; Yukawa potentials; Debye potentials; positronium negative ion; exponentially correlated wavefunctions; variational method critical stability; critical nuclear charge; critical screening parameter; Yukawa potentials; Debye potentials; positronium negative ion; exponentially correlated wavefunctions; variational method
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Kar, S.; Wang, Y.-S.; Wang, Y.; Ho, Y.K. Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z. Atoms 2019, 7, 53.

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