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Halo nuclei projectiles can undergo into a fragmentation process whenscattered by a nucleus target. The corresponding core from exotic nuclei isusually observed while the others fragments of the reaction are not. We use therecently proposed theory by [Phys. Lett. B767, 53 (2017)] with a four-bodydescription of the inclusive breakup reaction where the projectile is 20Cdescribed like a two-neutron halo nucleus. The momentum of both neutrons areintegrated out giving a generic description of the core angular distribution.In this preliminary study we perform an analysis of the inclusive inelasticbreakup cross-section using the eikonal approximation for the distorted wavefunction of the projectile. A study of the inclusive inelastic cross-sectionsof 20C from the collision with different targets are presented.

Four-body eikonal approach to three-body halo nuclei scattering