Mathematics – Probability
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...208.5704m&link_type=abstract
American Astronomical Society Meeting 208, #57.04; Bulletin of the American Astronomical Society, Vol. 38, p.138
Mathematics
Probability
Scientific paper
Precise calculations including QED effects for this three-body system can predict ionization energies relative to the limit accurately to 2 MHz = 6.7x10-5 cm-1 or better for all but the lowest levels. Our calculated isotope shifts are even more accurate because some uncertainties cancel. We have combined these calculations with precise laboratory frequency measurements involving ten low levels to obtain all the excited energy levels of both 4He and 3He with relative uncertainties of at most 2 MHz. The ionization potential of 198 310.6690(11) cm-1 for 4He that we derived in this process carries an absolute uncertainty of 0.0011 cm-1 for all levels relative to the ground state.We also calculated transition probabilities for 4He by including the relativistic effects of singlet-triplet mixing and spin-orbit coupling while simplifying the wave functions by assuming infinite nuclear mass. We have combined our data on energy levels and transition probabilities to produce multiplet tables for 4He for all electric-dipole lines involving levels with n = 1 to 10 and L = 0 to 9. The resulting tables list the wavelength, transition probability, reciprocal upper-level lifetime, and absorption oscillator strength for each line.With the above results, no uncertainty should be attributable to these atomic data for 4He I in the analysis of astrophysical observations.
Drake G. W.
Morton Donald C.
Wu Qingwen
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