Relativistic density functional theory in nuclear physics

Abstract

Over the past decades, the relativistic density functional theory has been greatly developed and widely applied to investigate a variety of nuclear phenomena. In this paper, we briefly review the concept of covariant density functional theory in nuclear physics with a few latest applications in describing nuclear ground-state and excitation properties as well as nuclear dynamics. Moreover, attempts to build a microscopic and universal density functional are also discussed in terms of the successful fully self-consistent relativistic Brueckner–Hartree–Fock calculations.

Self-consistent methods for structure and production of heavy and superheavy nuclei

“…By now, numerous versions of non-relativistic Skyrme and Gogny-type EDFs [125] as well as CEDFs in Lagrangian formulation [123,124,[126][127][128][129][130][131][132][133][134][135][136][137][138][139][140][141][142][143] are available and used for systematic nuclear dynamics and structure investigations over the entire periodic table. The multidimensionallyconstrained CEDF and CEDF on 3D lattices have recently been introduced to describe nuclear reactions (i.e., fission) and strongly deformed exotic states [138][139][140][141][142][143]. The EDFplus-HFB approaches describe quite successfully nuclear binding energies, nuclear shapes and sizes of beta-stable and beta-unstable nuclei; see e.g., [77,78,112,115,125,127,129,[136][137][138][144][145][146][147][148][149][150][151]…”

QCSH: a Full Quantum Computer Nuclear Shell-Model Package

“…s • l = l/2 for j = l + 1/2 and −(l + 1)/2 for j = l − 1/2. The average field can be calculated also from relativistic mean field approach [25].…”

Towards a high-precision nuclear mass table with deformed relativistic Hartree-Bogoliubov theory in continuum

“…Walecka [49] 基于有效拉氏量发展的相对论平均场理论. [55,58] . 除了基态性质, PC-PK1密 度泛函还被成功地应用于描述原子核的激发态, 例如 磁转动 [59] 、反磁转动 [60] 和手征转动 [61]…”