Twenty-parameter eigenfunctions and energy values of the 23
S States of He and He-like Ions |
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Authors: | J F Hart G Herzberg |
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Institution: | 1. University of Western Ontario, London, Canada 2. National Research Council, Ottawa, Canada
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Abstract: | Twenty-parameter calculations of the energies and wave functions of the first excited states 23 S of He, Li+, Be++, B+++, O6+, Ne8+, Mg10+, have been carried out using Hylleraas' method. The energy values have been corrected for mass polarization. The coefficients of the best wave functions are listed. Similar calculations for the 23 S state of the H? ion yield an energy value which cannot be distinguished from the energy of a free H atom. For He and Li+, in addition, forty-parameter calculations have been carried out. The results compare well with the recent calculations of Pekeris using a somewhat different method. Even after the inclusion of the relativistic correction, the theoretical energy values deviate slightly from the observed. The differences, ?0·10±0·05 cm?1 for He and ?1·07±0·10 cm?1 for Li+, represent observed values of the Lamb shifts in the 23 S states. These values agree within their uncertainties with the values predicted from quantum electrodynamics. |
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