Using DIRHB package to calculate the properties of some nuclei

Abstract

In this work, the relativistic Hartree-Bogoliubov method is studied for calculating of nuclear properties such as binding energy per nucleon, charge radii, and single-particle energies of proton and neutron for some nuclei like O16, Ca40, Sn132 and Pb208. This method is the relativistic case of the Hartree-Fock-Bogoliubov method, which is a generalization of the Hartree-Fock method, and the method includes short-range correlations such as pairing force. In addition, the energy functional DD-ME2 is used to describe the effective interactions in equations of the relativistic Hartree-Bogoliubov method. The DIRHB package, which was written in Fortran, is utilized to calculate and get the results. The results are compared with experimental ones, except the single-particle energies of Ca40 due to the lack of data. The comparisons show well agreements between the calculation results and the experimental values of binding energy per nucleon as well as charge radii, for parameters of the DD-ME2 which were fitted based on the experimental data of nuclear mass. However, the results of single-particle levels do not agree with experimental ones in some cases. This means the relativistic Hartree-Bogoliubov method should be studied further in the future.