Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum

Abstract

The covariant density functional theory with a few number of parameters has been widely used to describe the ground-state and excited-state properties for the nuclei all over the nuclear chart. In order to describe exotic properties of unstable nuclei, the contribution of the continuum and its coupling with bound states should be treated properly. In this Topical Review, the development of the covariant density functional theory in continuum will be introduced, including the relativistic continuum Hartree-Bogoliubov theory, the relativistic Hartree-Fock-Bogoliubov theory in continuum, and the deformed relativistic Hartree-Bogoliubov theory in continuum. Then the descriptions and predictions of the neutron halo phenomena in both spherical and deformed nuclei will be reviewed. The diffuseness of the nuclear potentials, nuclear shapes and density distributions, and the impact of the pairing correlations on nuclear size will be discussed.

63 pages; Topical Review, J. Phys. G (in press)

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• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
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• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
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• Unified neutron star EOSs and neutron star structures in RMF models
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• Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals
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• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
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• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
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