Systematic study of structure of carbon isotopes with the antisymmetrized molecular dynamics plus generator coordinate method
Abstract.The structure of low-lying states of the carbon isotopes is investigated using the improved version of the Antisymmetrized Molecular Dynamics (AMD) Multi-Slater Determinant model. The theoretical method is found to be very useful to study ground-state properties of various nuclei covering light unstable nuclei. The calculations succeed to reproduce reasonably well many experimental data for the carbon isotopes 12C- 22C such as binding energies, the energies of the 2+1 states in the even-even isotopes, radii and electromagnetic transition strengths. We investigate the structure change with the increasing neutron number and observe the existence of various exotic phenomena, like the development of a neutron skin and large deformations which appear in unstable nuclei. Our calculations clearly support the existence of the N = 8 and N = 16 neutron magic numbers. The role of the spin-orbit interaction in the description of the studied isotopes and in the development of cluster structures is discussed. A special approach, important for weakly bound systems, is adopted for 15C. It enables us to better describe the tail of the wave function.