Variational Mean-field approach to three-body bound states in many- body systems

Alexei M. Frolov, Ajit J. Thakkar

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{-}}}$.

João da Providência

David H. Bailey, Alexei M. Frolov

Universal variational expansion for high-precision bound-state calculations in three-body systems. Applications to weakly bound, adiabatic and two-shell cluster systems, David H Bailey, Alexei M Frolov

Victor J. Emery

Julien Vidal, Benoît Douçot

We study a system in which the quantum dynamics of electrons depend on the particle density in their neighborhood. For any on-site repulsive interaction, we show that the exact two-body and three-body ground states are bound states. We also discuss the finite density case in a mean-field framework and we show that the system can undergo an unusual transition from an effective attractive interaction to a repulsive one, when varying the electron density.

S. E. Koonin, Gayle A. Sugiyama, H. Friedrichl +1 more