Weakly bound ground states in three-body Coulomb systems with unit charges

Abstract

The stability of weakly bound ground states, with zero total angular momentum, in three-body Coulomb systems with unit charges, is studied by means of highly accurate variational calculations. Weakly bound ground states are predicted for a number of systems, including ${\mathit{d}}^{+}$${\mathit{t}}^{+}$${\mathit{p}}^{\mathrm{\ensuremath{-}}}$, ${\mathit{t}}^{+}$${\mathit{K}}^{+}$${\mathrm{\ensuremath{\pi}}}^{\mathrm{\ensuremath{-}}}$, ${\mathrm{\ensuremath{\pi}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$, and ${\mathrm{\ensuremath{\pi}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\pi}}}^{\mathrm{\ensuremath{-}}}$.