Calculation of the energy levels and charge radius of Mg-24 and S-32 isotopes in the cluster model

摘要

In this work, the Mg-24 and S-32 isotopes are considered in the cluster model by solving the Schrodinger and Klein-Gordon equations using the Nikiforov-Uvarov (NU) method. The configuration of the alpha particles for the second excited state for Mg-24 isotope is C-12 + C-12. A local potential is used for these two equations that is compatible to the modified Hulthen plus quadratic Yukawa potential. By substituting this potential in the Schrodinger and Klein-Gordon equations, the energy levels and wave functions are obtained. The calculated results from the Schrodinger and Klein-Gordon equations, i.e., nonrelativity and relativity, respectively, are close to the results from experimental data.