Atomic and molecular three-body ions with positively charged muons

The properties of some atomic and molecular three-body ions which contain positively charged muons mu(+) are considered. In particular, the ground states in the muonium ion Mu(-) (or mu(+)e(-)e(-)) and muon-hydrogen molecular p(+)mu(+)e(-),d(+)mu(+)e(-),t(+)mu(+)e(-) ions are studied in details. The energies of these systems have been determined to high accuracy: E(Mu(-))=-0.525 054 806 243 526 329 29 a.u., E(p(+)mu(+)e(-))=-0.589 903 785 389 587 726 1 a.u., E(d(+)mu(+)e(-))=-0.590 255 352 152 246 417 7 a.u., and E(t(+)mu(+)e(-))=-0.590 374 098 892 682 888 0 a.u. The interparticle distances, delta functions, two-particle cusps, and some other bound-state properties are also presented for all considered systems. The photodetachment of the Mu(-) ion is briefly discussed.