Abstract
The atomic-beam recoil technique has been used to obtain the ratio of spin-flip to full differential cross sections, for $4^{2}S_{\frac{1}{2}}\ensuremath{-}4^{2}P_{\frac{1}{2},\frac{3}{2}}$ excitation in potassium by electrons. Data are presented at energies of from 3 to 10 eV, and for electron scattering angles of from $\ensuremath{\theta}\ensuremath{\approx}0\ifmmode^\circ\else\textdegree\fi{} \mathrm{to} 20\ifmmode^\circ\else\textdegree\fi{}$, in 5-deg intervals. Additional data at $\ensuremath{\theta}\ensuremath{\approx}0\ifmmode^\circ\else\textdegree\fi{}$, for energies from threshold to 20 eV, are also presented. Appropriate scattering amplitudes are calculated using the Born, Ochkur, and close-coupling approximations, and comparison with our experiments is made. Exchange is necessary to account for the $\ensuremath{\theta}\ensuremath{\approx}0\ifmmode^\circ\else\textdegree\fi{}$ data; the close-coupling results are in fair agreement with all of the angular data, while the Ochkur approximation gives good agreement at very small angles.
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