Considering the Light Nuclei in the Cluster Model from NU Method

Abstract

In this work, the energy levels of light nuclei from the NU method are calculated and their structures are determined. Therefore, by using a local potential that is suitable for light nuclei and compatible with the Hafstad-Teller potential, the Schrodinger equation from NU method is solved and the energy levels and wave functions are obtained. For more accuracy, the spin-orbit and tensor potentials are added to the central potential as perturbation and the first-order energy correction is obtained for the different states of many alpha systems. So, we calculate the energy levels of nuclei 8 Be and 16 O and compare the obtained results with the experimental data and get a good agreement. This agreement is better for 16 O than 8 Be . Therefore, anybody can conclude that the α cluster model has the better results for the nuclei with the number of more alpha particles. Finally, by the strength of Coulomb’s repulsion, it is shown that the ground and first excited states of the 16 O nucleus have the tetrahedral and square configurations, respectively. Also, it is obtained that the structures of the second and third excited states are as square and linear chain that these structures show the non-localized gas configuration for the higher excited states of 16 O nucleus.