Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z
Department of Physics, Harbin Institute of Technology, Harbin 150001, China
Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan
Author to whom correspondence should be addressed.
Received: 29 April 2019 / Revised: 16 May 2019 / Accepted: 29 May 2019 / Published: 3 June 2019
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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 (
) with Yukawa potentials is studied using correlated exponential wavefunctions based on the Ritz variational method. We obtained the critical screening parameter
as a function of the continuously varied nuclear charge
, the critical nuclear charge
as a function of the screening parameter
, and the ionization energies in terms of the screening parameter
. The critical nuclear charge for the bare Coulomb system (
) obtained using 700-term correlated exponential wavefunctions is in accord with the reported results. The ionization energy,
for the Yukawa system (
) 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.
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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.
Kar S, Wang Y-S, Wang Y, Ho YK. Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z. Atoms. 2019; 7(2):53.
Kar, Sabyasachi; Wang, Yu-Shu; Wang, Yang; Ho, Yew K. 2019. "Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z." Atoms 7, no. 2: 53.
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