Three-nucleon Force in Nucleus-nucleus Elastic Scattering at Medium Energy: Application to α-4He Scattering

In the framework of optical limit approximation with inclusion of the three-nucleon force effect the general formalism of nucleus-nucleus elastic scattering is presented. A three-nucleon force profile function of interaction is used. In the case of \(\alpha\)-4 He scattering a reasonable agreement with the experimental data of elastic scattering differential cross section at the momenta 4.32, 5.07 and 7 GeV/c is obtained. The large value of slope parameter evaluated from the nucleon-nucleon interaction radius improve the results of calculations. We show that the three-nucleon force effect is important and clear for \(q^2 \geq\ 0.1\) (GeV/c)2.