In this paper, the light nuclei are considered in the cluster model especially the nuclei with A=4n(n is the number of alpha particles). Therefore, the Schrodinger equation is solved from the NU method by using a local potential. First, we study ^16 O,^20 Ne and ^24 Mg nuclei as the two-cluster systems, i.e. (α+ core), and obtain their energy levels. These results are compared with experimental data. Somebody can see relatively the good agreement between these results and the experimental data. Finally, it is concluded that in the structure of (α+ core) used in this work, whatever the core is heavier, so the results of the calculations are closer to the experimental data. Also, it is shown that the model of (α+ core) has the good solutions for the ground state of these nuclei.
Keywords: Cluster model, NU method, Structure of Nuclei, Energy levels. PACS: 21. 10. Dr; 13.75.Cs; 21.60.Gx