Stability and hyperfine structure of the four- and five-body muon-atomic clusters a⁺ b⁺ μ⁻ e⁻ and a⁺ b⁺ μ⁻ e⁻ e⁻

الأصل · EN

Based on the results of accurate variational calculations we demonstrate stability of the five-body negatively charged ions a⁺ b⁺ μ⁻ e⁻ e⁻. Each of these five-body ions contains two electrons e⁻, one negatively charged muon μ⁻ and two nuclei of the hydrogen isotopes a, b = (p, d, t). The bound state properties of these five-body ions, including their hyperfine structure, are briefly discussed. We also investigate the hyperfine structure of the ground states of the four-body muonic quasi-atoms a⁺ b⁺ μ⁻ e⁻. In particular, we determine the hyperfine structure splittings for the ground state of the four-body muonic quasi-atoms: p⁺ d⁺ μ⁻ e⁻ and p⁺ t⁺ μ⁻ e⁻.