Physical Review A

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

Alexei M. Frolov, Ajit J. Thakkar

Published Oct 1, 1992• 26 citations

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{-}}}$.

DOI: 10.1103/physreva.46.4418

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Physical Review A

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

Alexei M. Frolov, Ajit J. Thakkar

Published Oct 1, 1992• 26 citations

Publisher

Abstract

{\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{-}}}

DOI: 10.1103/physreva.46.4418

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{\mathit{d}}^{+}

{\mathit{t}}^{+}

${\mathit{p}}^{\mathrm{\ensuremath{-}}}$, ${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\pi}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$, and ${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\pi}}}^{+}$${\mathrm{\ensuremath{\pi}}}^{\mathrm{\ensuremath{-}}}$) considered have sharp cluster structures, i.e., the lighter positive ion moves in the field of the neutral pair (e.g.,

{\mathit{d}}^{+}

{\mathit{d}}^{+}

{\mathit{t}}^{+}

${\mathit{p}}^{\mathrm{\ensuremath{-}}}$ moves in the field of

{\mathit{t}}^{+}

${\mathit{p}}^{\mathrm{\ensuremath{-}}}$ ).

{\mathit{e}}^{+}

), p+(p\ensuremath{\mu}), and d+(d\ensuremath{\mu}). A large negative value of the even-parity p+(p\ensuremath{\mu}) scattering length indicates the presence of a virtual state near threshold.