Resonance States of Hadronic Three-Body Ions: Stabilization Method

Bound and resonance states of symmetric three-body exotic \(pXX\) negative atomic ions \((X=μ⁻, π⁻, K⁻)\) as well as exotic \(ppX\) positive molecular ions for total angular momentum \(J=0\), are studied in details under the framework of Stabilization method. The resonance states under consideration lie below \(N=2\) ionization threshold of the corresponding \(pX\) atom. The wave-function is expanded in correlated multi-exponent Hylleraas type basis set for explicit incorporation of \(p\)-\(p\), \(μ\)-\(μ\), \(π\)-\(π\) or \(K\)-\(K\) correlations. The methodology has been tested by estimating the parameters of the resonance states of \((pμμ)⁻\), \((ppμ)⁺\), \((pππ)⁻\) and \((ppπ)⁺\) and comparing with the results existing in the literature. The interparticle interactions for all the systems under consideration are purely Coulombic.