Abstract
We have calculated core emission and absorption spectra for a free-electron metal, using a determinantal method. The results indicate that the Mahan--Nozi\`eres--De Dominicis model is accurate near threshold to the extent testable with experimental data. Experimental data however, analyzed using the energy range justified above, indicate that the expected mirror symmetry rarely exists. Furthermore, Na core photoemission line shapes are incompatible with absorption and emission. We suggest a possible explanation for these discrepancies.
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