Calculation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi></mml:math>-vacancy production by relativistic projectiles

Abstract

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 $\ensuremath{\sim}3M{c}^{2}$.