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 3α-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 δ 2 and δ 3 are extracted and consistent with other works. Good agreement with experimental data of elastic and inelastic K ± -12 C scattering is obtained.
IntroductionThe K + nucleus scattering is of considerable interest because of relative weak kaon nucleon (KN) interaction. K + -nucleus cross sections should be fairly weak and the amplitudes reasonably simple because of the simplicity of K + N system. The K + -nucleus interaction is the weakest of any strongly interacting probe, and the resulting mean free path is expected to be large (in the order of 7 fm). Therefore, K + can penetrate quite freely into the central region of the target nucleus, having time to undergo predominantly single K + N collisions and appearing to be a good probe for the distribution of neutrons in nuclei, while electron scattering is applied to study the nuclear charge density. There is no true absorption of K + to complicate things, in distinction to the case of low energy π-nucleus scattering, where the mean free path is also large. Another difference is that K + wave lengths are small enough to sense individual nucleons within nuclei, where λ=2 fm for 50 MeV pion kentic energy while λ=0.5 fm for 715 MeV/c kaon lab momentum [1].On the contrary, the K − N system has many narrow resonances and there are open channels down to the K − N threshold. Cross sections are comparable to those for NN scattering. Therefore, we expect that K − -nucleus cross sections reflect these features: The interaction is strong and the amplitudes are expected to be complicated [2].Recently, coupled-channels calculations for elastic and inelastic scattering of K + at