Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals

Frontiers in Physics

Stefan Typel¹ 

[1] GSI Helmholtzzentrum für Schwerionenforschung GmbHDarmstadt, Germany;Institut für KernphysikTechnische Universität Darmstadt, Darmstadt, Germany;

关键词: Lagrange-mesh method;    relativistic energy density functional;    density-dependent couplings;    deformed nuclei;    relativistic harmonic oscillator;    Dirac equation;   

DOI  :  10.3389/fphy.2018.00073

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown