Cluster Model Analysis of Kaon Scattering from ${}^{12}$C

Angular distributions of differential cross sections for the interaction of $K^{+}$ mesons with ${}^{{}^{12}}$C nucleus at beam momenta of 635, 715, and 800 MeV/c have been analyzed using 3$\alpha$-particle model of ${}^{{}^{12}}$C. Differential cross sections for inelastic transitions to the (2${}^{{}^{+}}$; 4.44 MeV) and (3${}^{-}$; 9.64 MeV) states in ${}^{{}^{12}}$C are calculated, and deformation lengths ${\delta }_2$ and ${\delta }_3$ are extracted and consistent with other works. Good agreement with experimental data of elastic and inelastic $K^{\pm }$-${}^{12}$C scattering is obtained.