Highly accurate calculations of the rotationally excited bound states in three-body systems

preprint2010arXivOpen access

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≥1L \ge 1. The efficiency of our procedure is illustrated by computations of the excited P∗(L=1)−P^{*}(L = 1)-states in the ddμ,dtμddμ, dtμ and ttμttμ muonic molecular ions, P(L=1)−P(L = 1)-states in the non-symmetric pdμ,ptμpdμ, ptμ and dtμdtμ ions and 21P(L=1)−2^{1}P(L = 1)- and 23P(L=1)−2^{3}P(L = 1)-states in He atom(s).

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