Bound states withL=1in three-body systems

Abstract

An effective optimization strategy has been developed to construct highly accurate bound-state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various excited states, including rotationally excited states (i.e. states with $L\ensuremath{\geqslant}1$). The efficiency of our procedure is illustrated by computations of excited ${P}^{*}(L=1)\ensuremath{-}$ states in the $\mathit{dd}\ensuremath{\mu}$, $\mathit{dt}\ensuremath{\mu}$ and $\mathit{tt}\ensuremath{\mu}$ muonic molecular ions, $P(L=1)\ensuremath{-}$ states in the nonsymmetric $\mathit{pd}\ensuremath{\mu}$, $\mathit{pt}\ensuremath{\mu}$ and $\mathit{dt}\ensuremath{\mu}$ ions, and ${2}^{1}P(L=1)\ensuremath{-}$ and ${2}^{3}P(L=1)\ensuremath{-}$ states in He atoms.