Research Paper on Negatively Charged Positronium-Like Ions Critical Stability with Varying Z and Yukawa Potentials

Description

Title: Negatively Charged Positronium-Like Ions Critical Stability with Varying Z and Yukawa Potentials

Abstract: In atomic, molecular, and nuclear physics, the stability of a particular quantum system composed of charged particles is a fundamentally interesting question. The stability of the three-body system (Ze+, e, e) with Yukawa potentials or negatively charged positronium (Ps)-like ions is investigated in this work using correlated exponential wavefunctions based on the Ritz variational method. We determined the ionization energies in terms of the screening parameter and Z, the critical screening parameter C as a function of the continuously varying nuclear charge Z, and the critical nuclear charge ZC as a function of the screening parameter. According to the reported results, the critical nuclear charge for the bare Coulomb system (Ze+, e, e) calculated using 700-term correlated exponential wavefunctions is accurate. Interesting behaviors can be seen in the ionization energy, C, and ZC for the Yukawa system (Ze+, e, e). The current study describes the potential absence of Efimov states and Borromean binding. For the negatively charged screened Ps-like ions, the potential existence of quasi-bound resonance states is briefly discussed.

Keywords: critical stability; critical nuclear charge; critical screening parameter; Yukawa potentials; Debye potentials; positronium negative ion; exponentially correlated wavefunctions;variational method

Paper Quality: SCOPUS / Web of Science Level Research Paper

Subject: Physics

Subject Category: Atomic and Molecular Physics, and Optics

Writer Experience: 20+ Years

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