Theoretical and Experimental K^+ + Nucleus Total and Reaction Cross   Sections from the KDP-RIA Model
  The 5-dimensional spin-0 form of the Kemmer-Duffin-Petiau (KDP) equation is used to calculate scattering observables [elastic differential cross sections ($d\sigma/d\Omega$), total cross sections ($\sigma_{Tot}$), and reaction cross sections ($\sigma_{Reac}$})] and to deduce $\sigma_{Tot}$ and $\sigma_{Reac}$ from transmission data for $K^+ + $ $^{6}$Li, $^{12}$C, $^{28}$Si, and $^{40}$Ca at several momenta in the range $488 - 714 MeV/c$. Realistic uncertainties are generated for the theoretical predictions. These errors, mainly due to uncertainties associated with the elementary $K^+ +$ nucleon amplitudes, are large, so that the disagreement that has been noted between experimental and theoretical $\sigma_{Tot}$ and $\sigma_{Reac}$ is not surprising. The results suggest that the $K^+ +$ nucleon amplitudes need to be much better determined before unconventional medium effects are invoked to explain the data. 
L. Kurth Kerr, B. C. Clark, S. Hama, L. Ray, and G.W. Hoffmann