Investigation of exotic states of 13C at low energy

The differential cross-sections of the elastic and inelastic α +13C scattering have been measured at E(α) = 29MeV. The radii of the exited states: 3.09 (1/2+) and 8.86 (1/2−) MeV were determined using the Modified Diffraction Model. The radii of these excited states are larger than that of the ground state of 13C, confirming the suggestion that the 8.86 (1/2−) MeV state could be an analog of the Hoyle state in 12C and the 3.09 (1/2+) MeV state has a neutron halo. The possibility of coexistence of various exotic states in the structure of the 13C nucleus is shown.