Abstract
In the asymmetric doubly excited states of the two-electron atom one electron is excited much more than the other. The characteristic separation of the strongly excited electron from the atomic nucleus significantly exceeds that for the weakly excited electron . The electron - electron interaction is approximated by the first non-trivial (dipole) term of its expansion over . The same approach is easily extended to the general Coulomb three-body problem with the particles of arbitrary mass and charge. The dynamics of three-body states with and symmetry is analysed in quantum, semiclassical and classical approximations in comparison with the S and states considered previously. Mathematically, the problem is reduced to two coupled three-term recursion relations which were not studied previously. The exact and approximate (semiclassical) degeneracies of the levels with different values of the total orbital momentum L are revealed, and the energies of the `planetary atom' states are estimated.
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