Cranking covariant density functional theory with a shell-model-like approach for the superdeformed band of 42Ca

The superdeformed rotational band in [Formula: see text]Ca is studied with the cranking covariant density functional theory complemented by a shell-model-like approach for treating the pairing correlations. The microscopic and self-consistent description of the superdeformed rotational band is obtained. The calculated energy surfaces show local minimums at [Formula: see text] from rotational frequency [Formula: see text] [Formula: see text] to [Formula: see text][Formula: see text]MeV. The shape coexistence of spherical, normal deformation and superdeformation is found at [Formula: see text][Formula: see text]MeV. The single-particle levels and configurations are analyzed in details with the deformation. The configuration of the superdeformed band is figured out as [Formula: see text]. The single-particle Routhians indicate that the neutrons configuration plays a key role in the formation of the superdeformed band, and the change of the protons configuration at [Formula: see text][Formula: see text]MeV terminates the superdeformed band. The importance of pairing correlation to the superdeformed band is also studied in terms of the moments of inertia and the angular momentum.

Relativistic density functional theory in nuclear physics

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.

Structure of 190-200Hg within the covariant density functional theory

We study in detail the chain of even - even mercury isotopes 190-200Hg using the relativistic point coupling model. A five-dimensional collective Hamiltonian (5DCH) model, with parameters determined by constrained self-consistent mean-field (SCMF) calculations based on the relativistic density-dependent pointcoupling (DD-PC1) energy density functional, and a finite-range pairing interaction is used to calculate the low-energy excitation spectrum and the B(E2) transitions rates of even-even nuclei. The calculations suggest coexisting configurations in 190Hg, increased collectivity in the isotopes 192-198Hg and a more spherical structure in 200Hg.