We compute the bound and resonant states of hydrogen-like muonic ions ($\mu \mu p$, $\mu \mu d$, $\mu \mu t$), three-body muonic molecular ions ($pp\mu$, $pd\mu$, $pt\mu$, $dd\mu$, $dt\mu$, $tt\mu$), and four-body double-muonic hydrogen molecules ($\mu \mu pp,\mu \mu dd,\mu \mu tt$) using an extended stochastic variational method combined with complex scaling. The approach provides a unified treatment of bound and quasibound states and achieves an energy accuracy better than $0.1\mathrm{eV}$ across all systems studied. Complete spectra below the corresponding $n=2$ atomic thresholds are obtained, including several previously unresolved shallow resonances in both three- and four-body sectors.

Close

PrevNext

View figure in article

• Atomic & molecular structure
• Atomic spectra
• Energy levels
• Few-body systems
• Molecular spectra
• Nuclear fusion
• Vibrational states
• Muons
• Nucleons
• Schroedinger equation