The atomic three‐body problem. An accurate lower bond calculation using wave functions with logarithmic terms

Accurate lower and upper bounds for the nonrelativistic ground state energies E0 of the real systems 4He, H−, D−, and T− were calculated by the method of variance minimization using wave functions which include logarithmic terms. In addition, an analogous treatment with an infinite mass approximation for H−, He, and the isoelectronic series up to Z = 10 was carried out. Especially for H− and He the results (a.u.) are given by These values have an absolute error smaller than 1.28 · 10−4 cm−1 for H−1and 3.10 · 10−9 cm−1 for He. Moreover it is shown that a variation of nuclear mass mn for the H− species does not produce a second discrete eigenvalue.