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Abstract
The X-ray emission spectra of free electron metals are calculated as functionals of the many body threshold exponents of Nozieres and deDominicis. The final state interactions are treated in a screened exciton approximation using a selfconsistent Hulthen screened electron-hole interaction determined from the threshold exponents alpha l. For L2,3 threshold exponents alpha 0>or approximately=0.15, the emission is markedly non free electron like. Thus, for free electron metals, these calculations indicate that the exponents fall in the range 0 or approximately=0.4, alpha 1<0, and with experimentally determined exponents alpha 0=0.26, 0.18 and 0.15 for Na, Mg, and Al respectively. The implications of these results for the theory of X-ray excited states of metals are discussed.
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