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 isused to calculate scattering observables [elastic differential cross sections($d\sigma/d\Omega$), total cross sections ($\sigma_{Tot}$), and reaction crosssections ($\sigma_{Reac}$})] 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 $488 - 714 MeV/c$. Realisticuncertainties are generated for the theoretical predictions. These errors,mainly due to uncertainties associated with the elementary $K^+ +$ nucleonamplitudes, are large, so that the disagreement that has been noted betweenexperimental and theoretical $\sigma_{Tot}$ and $\sigma_{Reac}$ is notsurprising. The results suggest that the $K^+ +$ nucleon amplitudes need to bemuch better determined before unconventional medium effects are invoked toexplain the data.Comment: 7 pages text, 5 figure