2008/08/26 by Oliver Scharf, Scharf, Oliver, Michel Godefroid +2 · 2 citations
Engineering · Materials Science · Medicine · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Lanthanide and Transition Metal Complexes #Medical Imaging Techniques and Applications #Plasmonic and Surface Plasmon Research #physics.atom-ph
paper · pdf · doi:10.48550/arxiv.0808.3529
18 pages, 6 figures that will not appear as real figures, but as graphs in the formulae presented in the appendix
arxiv created 2008/08/26 · openalex publication_date 2008/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The branching ratios of the fine-structure photodetachment intensities of S- have been calculated by Blondel et al. (J. Phys. B 39(2006)1409) using the standard irreducible tensorial operator techniques. They observed that the relative intensities were consistent with the well known Engelking-Lineberger formula (Phys. Rev. A19(1979)149) derived from the fractional parentage approach, and qualified this agreement as remarkable. In the present paper, we show that it can be understood from a general interesting angular momentum expression relating a weighted sum of squared 9j-symbols and a weighted sum of products of squared 6j-symbols. We also point out that the standard approach result is a special case of the photodetachment cross sections parametrization by Pan and Starace (Phys. Rev. A47(1993)295) who already established the link with the Engelking-Lineberger's result. The present work provides a new, elegant and deep link between the two formalisms, thanks to the irreducible tensorial expression of the second quantization form of the electric dipole transition operator.