NASA NTRS · 19860047486
Relativistic corrections to the Bethe sum rule
Abstract
Relativistic corrections to the Bethe sum rule have been obtained for a one-electron system. The relativistic sum is first derived assuming completeness by employing the Dirac Hamiltonian. Then, a semirelativistic approach to order v-squared/c-squared is presented following the Foldy-Wouthuysen transformation scheme to exclude the contributions from the negative-energy states. The results have wide applications in high-Z systems at large momentum transfers.
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Leung, P. T., Rustgi, M. L., Long, S. A. T.. 1986-04-01. Relativistic corrections to the Bethe sum rule. https://ntrs.nasa.gov/citations/19860047486
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