K+-nucleus quasielastic scattering

${\mathit{K}}^{+}$-nucleus quasielastic cross sections measured for a laboratory kaon beam momentum of 705 MeV/c are presented for 3-momentum transfers of 300 and 500 MeV/c. The measured differential cross sections for C, Ca, and Pb at 500 MeV/c are used to deduce the effective number of nucleons participating in the scattering, which are compared with estimates based on the eikonal approximation. The long mean free path expected for ${\mathit{K}}^{+}$ mesons in nuclei is found. Double differential cross sections for C and Ca are compared to relativistic nuclear structure calculations.