Molecular particle-core model and its application to ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$-${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ scattering

On the basis of the two-center shell model a theory is developed for the excitation of loosely bound nucleons in heavy ion collisions. These nucleons move in the two-center shell model potential generated by all the nucleons and are described by molecular wave functions. The model is applied to calculate the cross sections for the elastic and inelastic ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$-${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ scattering. The cross sections show intermediate structures caused by the excitation of quasibound resonances in the molecular nucleus-nucleus potential.

NUCLEAR REACTIONS ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$,${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$) molecular wave functions, dynamical two-center shell model, quasimolecular resonances, radial and Coriolis coupling, coupled channel calculations for $\sigma \left(\theta \right)$.