Highly accurate calculations of the rotationally excited bound states in 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 $L\ge 1$. The efficiency of our procedure is illustrated by computations of the excited $P^{\ast }(L=1)-$states in the $dd\mu ,dt\mu$ and $tt\mu$ muonic molecular ions, $P(L=1)-$states in the non-symmetric $pd\mu ,pt\mu$ and $dt\mu$ ions and $2^{1}P(L=1)-$ and $2^{3}P(L=1)-$states in He atom(s).