<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>L</mml:mi></mml:math>-shell x-ray production cross sections for light ions on Sm, Yb, and Pb

Abstract

$L$-shell x-ray production cross sections for the $\mathrm{Ll}$, $L{\ensuremath{\alpha}}_{1,2}$, $L{\ensuremath{\gamma}}_{1}$, and $L{\ensuremath{\gamma}}_{2,3,(6)}$ have been measured for $^{1}\mathrm{H}$, $^{4}\mathrm{He}$, and $^{7}\mathrm{Li}$ on Yb and Pb and for $^{4}\mathrm{He}$ and $^{7}\mathrm{Li}$ on Sm. The energy ranges for the incident-ion species were 0.3 to 2.4 MeV/amu for $^{1}\mathrm{H}$, 0.15 to 4.4 MeV/amu for $^{4}\mathrm{He}$, and 0.9 to 3.0 MeV/amu for $^{7}\mathrm{Li}$. Comparisons of the $L{\ensuremath{\alpha}}_{1,2}$, $L{\ensuremath{\gamma}}_{1}$, and $L{\ensuremath{\gamma}}_{2,3,(6)}$ x-ray production cross-section data have been made to the predictions of the plane-wave Born approximation (PWBA) and the PWBA with corrections for Coulomb deflection and/or binding-energy effects. The comparisons show that for the individual x-ray production cross sections, there are problems associated with the binding-energy correction calculations for the $L{\ensuremath{\gamma}}_{1}$ and $L{\ensuremath{\gamma}}_{2,3}$ x-ray data. Furthermore, measurements of the ratio of $L{\ensuremath{\alpha}}_{1,2}$ to $L{\ensuremath{\gamma}}_{2,3}$ x-ray intensities do not support the use of an increased effective binding energy in the PWBA formulation.