Abstract
The convergence of the hyperspherical adiabatic expansion for helium-like systems has been studied numerically. The spectral problems arising after approximate separation of variables are solved by the finite-difference and finite-element methods. The energies of the ground and some doubly excited states of the negative hydrogen ion are calculated in the six-channel approximation within 10-4 au accuracy. The results obtained demonstrate a rapid convergence of the hyperspherical adiabatic expansion and agree reasonably well with experimental data as well as with other more complicated theoretical calculations.
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More From: Journal of Physics B: Atomic, Molecular and Optical Physics
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