Virtual and resonance states in the three-body D − μ−− T, D − μ−− D systems

Three-body bound, virtual and resonant states in the [Formula: see text] and [Formula: see text] systems were found by solving homogeneous Faddeev equations on the real and complex energy planes. The formalism of searching is conducted for the scattering matrix poles on both physical and nonphysical energy sheets with an analytical continuation of the corresponding Lippmann–Schwinger equations for t-matrix. Some benchmark tests have been done with model and realistic two-body potentials to verify the analytical continuation procedure. Direct calculations revealed five resonant states in the [Formula: see text] and [Formula: see text] systems, as well as two virtual states in the [Formula: see text] system in the strong coupling mode. The key influence of short-range [Formula: see text] and [Formula: see text] interactions was found on the appearance of [Formula: see text] and [Formula: see text] bound states in the energy range of 1–20[Formula: see text]keV, which disappeared when such interactions were turned off.