Abstract
The elastic and inelastic scatterings of deuterons from [Formula: see text]C are registered in a wide range of angles at the laboratory energy of 14.5[Formula: see text]MeV. Data on the differential cross-sections are treated within both the optical model and coupled-channels method. A new set of optical potential parameters is found. Analyses of the [Formula: see text] nuclear reactions are carried out for the levels of excitation 3.089, 8.86 and 9.87[Formula: see text]MeV. The single particle [Formula: see text], and cluster [Formula: see text] models are applied in calculations of differential cross-sections. The calculations show that the state 3.089[Formula: see text]MeV is populated with the single particle configuration, while the latter bands 8.86[Formula: see text]MeV and 9.87[Formula: see text]MeV mainly have the cluster [Formula: see text] excitation. The major contribution of the Hoyle state of the core [Formula: see text] is not observed, but the cluster [Formula: see text] configuration is ascertained to be the main contributor to the state 8.86[Formula: see text]MeV.