Study of the Structure of 12C and 6Li Nuclei in the α-Cluster and Shell Models

The wave functions and ground state energies of 12C and 6Li nuclei in the alpha cluster model are calculated using Feynman path integrals and hyperspherical functions. Calculated α-cluster separation energies and charge distributions are in good agreement with experimental data. Additional calculations in the shell model of a deformed nucleus for 12C and a spherical nucleus for 6Li also are in good agreement with the experimental data for the charge distributions.