α-cluster structure of 12C and 16O in the covariant density functional theory with a shell-model-like approach

The alpha-cluster structures for C-12 and O-16 are investigated in the framework of the covariant density functional theory, where the pairing correlation is treated with a particle number conserving shell-model-like approach. The ground states of C-12 and O-16 have been calculated and the density distributions demonstrate an equilateral triangle 3 alpha clustering for C-12 and a regular tetrahedron 4 alpha clustering for O-16. The existence of linear n alpha chain structure of both C-12 and O-16 is revealed at high quadrupole deformation.