Cross sections for the production of K vacancies by relativistic projectiles are calculated using the plane-wave Born approximation. Electronic $1s$ and continuum states are represented using semirelativistic Darwin wave functions. The calculated cross sections are in good agreement with measurements using 4.88-GeV protons, and also very high-energy (50-900-MeV) electrons. Simple formulas are given to calculate the cross section for projectile energies greater than ~3Mc².
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R. Anholt (1979) studied this question.
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