Abstract
Ground state binding energy for one-dimensional helium atom has been obtained in hyperspherical adiabatic approach. Logarithmic divergences in matrix elements of the potential energy operator were removed using the theory of residue, which led to the appearance of their complex values. An additional region of attraction was found for small values of radial variable. The width of this region depends on the dimension of basis, on which the adiabatic potentials are determined. The present results are compared with the calculations obtained in other approaches.
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