Study of spatial structures in α-cluster nuclei

Calculations of the probability densities and energies of the ground states for α -cluster nuclei 12 C (3 α ), 16 O (4 α ), 20 Ne ( 5 α ), 24 Mg ( 6 α ), 28 Si ( 7 α ) and for nuclear molecules 9 Be ( 2 α + n ), 10 Be ( 2 α + 2 n ), 10 B ( 2 α + n + p ), 10 C ( 2 α + 2 p ), 11 B ( 2 α + 2 n + p ), 11 C ( 2 α + n + 2 p ) were performed by the Feynman Path Integral method using parallel computing based on NVIDIA CUDA technology. In addition, 12 C (3 α ) was considered in three-body hyperspherical harmonics formalism with a new effective method of solving hyperradial equation using cubic spline interpolation. The spatial structures of the ground states of 12 C and 16 O correspond to simple geometric shapes, a regular triangle and a tetrahedron, respectively, with wide α -cluster clouds in their vertices. The 24 Mg nucleus has the shape of a pair of equal regular triangles with wide α -cluster clouds in their vertices as well. The nuclei 9 Be, 10 Be, 10 B, 10 C, 11 B, 11 C have molecular structure with valence neutrons and/or protons between two α -clusters.