Effect of basis truncation on global mass tables in covariant denisty functional theory

Computer codes used in calculations employing covariant density functional theory (CDFT) expand wave functions in the harmonic oscillator basis. Ideally as the basis size approaches infinity, the expansion approaches full precision. However, the basis size is truncated in such calculations due to the computational cost. The aim of this study was to investigate the issues related to precise calculation of binding energies in the framework of CDFT. Calculations were carried out using spherical and axially deformed codes based on the relativistic Hartree- Bogoliubov approach. Three different classes of covariant energy density functionals (CEDEFs) were considered, namely; nonlinear meson exchange, density dependent meson exchange and point coupling functionals. Generally, the convergence speed of binding energies as well as the computational cost are functional dependent. The point coupling models are relatively less expensive as compared to the nonlinear and density dependent meson exchange models. However, for the convergence of the binding energies the opposite is observed as a relatively lower number of shells (fermionic and bosonic where applicable) are required in obtaining an asymptotic value in the meson exchange models as compared to the point coupling models.