Green's function method in covariant density functional theory

Abstract

This article provides a brief review on the Green's function covariant density functional theory (GF-CDFT), and its appli-cation for the nuclear structure. By reviewing the research status of exotic nuclei and the problems of traditional theory in treating continuum, the Green's function method in nuclear physics is introduced. The GF-CDFT theory is then presented in detail, including a short introduction to the Green's function method, Green's function relativistic mean field (GF-RMF) theory, and Green's function relativistic continuum Hartree-Bogoliubov (GF-RCHB) theory, in which the detailed equa-tions in solving the radial Dirac equation and RCHB equation by Green's function method are given. As to applications, GF-RMF theory is applied to study the single-particle resonant states, in which the energies and widths for the resonant states of 120 Sn are provided; GF-RCHB theory is applied to study the giant halos in the neutron-rich Zr isotopes, in which the extended density distribution as well as the energies and widths of the resonant states playing important roles for giant halos are well described.