APPLICATION OF FINITE-ELEMENT METHODS IN RELATIVISTIC MEAN-FIELD THEORY - SPHERICAL NUCLEUS

A C++ code is used to calculate ground state properties of spherical n uclei. The nuclear system is described in the framework of relativisti c mean field theory: nucleons are coupled to exchange mesons and photo n through an effective Lagrangian. Finite element methods are used in the self-consistent solution of the coupled system of partial differen tial equations for the nucleons and for the meson fields. Using a form ulation based on weighted residuals, the coupled system of Dirac and K lein-Gordon equations is transformed into a generalized algebraic eige nvalue problem, and systems of linear and nonlinear algebraic equation s, respectively.