AUTHOR=Typel Stefan TITLE=Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals JOURNAL=Frontiers in Physics VOLUME=6 YEAR=2018 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2018.00073 DOI=10.3389/fphy.2018.00073 ISSN=2296-424X ABSTRACT=

The application of relativistic energy density functionals to the description of nuclei leads to the problem of solving self-consistently a coupled set of equations of motion to determine the nucleon wave functions and meson fields. In this work, the Lagrange-mesh method in spherical coordinates is proposed for numerical calculations. The essential field equations are derived from the relativistic energy density functional and the basic principles of the Lagrange-mesh method are delineated for this particular application. The numerical accuracy is studied for the case of a deformed relativistic harmonic oscillator potential with axial symmetry. Then the method is applied to determine the point matter distributions and deformation parameters of self-conjugate even-even nuclei from 4He to 40Ca.