Mass predictions of the relativistic continuum Hartree-Bogoliubov model with radial basis function approach * * Supported by the National Natural Science Foundation of China(11805004, 11875070 and 11711540016), the Natural Science Foundation of Anhui Province (1708085QA10), the Key Research Foundation of Education Ministry of Anhui Province (KJ2016A026 and SK2018A0577), the Doctor Foundation of Anhui Jianzhu University 2017 (2017QD18), and the Open

Abstract

The radial basis function (RBF) approach is a powerful tool to improve nuclear mass predictions. By combining the RBF approach with the latest relativistic continuum Hartree-Bogoliubov (RCHB) model, the local systematic deviations between the RCHB mass predictions and the experimental data are eliminated, and the root-mean-square (rms) mass deviation is significantly reduced from 7.923 MeV to 0.386 MeV. However, systematic deviations between the RBF improved mass predictions and the experimental data remain for nuclei with four different odd-even parities, i.e. (even Z, even N), (even Z, odd N), (odd Z, even N), and (odd Z, odd N). They can be reduced by separately training RBF for the four groups of nuclei, and the resulting rms deviation decreases to 0.229 MeV. It is found that the RBF approach can describe the deformation effects neglected in the present RCHB mass calculations, and also improves the description of the shell effect and the pairing effect.