Shape evolution of Hg isotopes within the covariant density functional theory

2021 ◽  
pp. 2150054
Author(s):  
V. Prassa ◽  
K. E. Karakatsanis
Keyword(s):  
Density Functional ◽  
Mean Field ◽  
Coupling Model ◽  
Structure Evolution ◽  
Shape Evolution ◽  
Relativistic Energy ◽  
Energy Excitation ◽  
Energy Density Functional ◽  
Functional Theory ◽  
Covariant Density

1 The shape evolution in the neutron-deficient Hg region is investigated within the covariant density functional framework. We study in detail the chain of even–even mercury isotopes [Formula: see text]Hg using the relativistic point coupling model. The low-energy excitation spectrum and the B(E2) transitions rates of even–even nuclei are obtained as solutions of a five-dimensional collective Hamiltonian (5DCH) model, with parameters determined by constrained self-consistent mean-field calculations based on the relativistic energy density functional DD-PC1, and a finite-range pairing interaction. The calculations suggest a very interesting structure evolution with coexisting configurations for [Formula: see text]Hg, increased collectivity for the isotopes [Formula: see text]Hg and a more spherical structure for [Formula: see text]Hg.

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

2021 ◽  
Vol 252 ◽  
pp. 02007
Author(s):  
Vaia Prassa ◽  
Konstantinos E. Karakatsanis ◽  
George A. Lalazissis
Keyword(s):  
Density Functional ◽  
Mean Field ◽  
Coupling Model ◽  
Energy Excitation ◽  
Energy Density Functional ◽  
Functional Theory ◽  
Spherical Structure ◽  
Covariant Density Functional Theory ◽  
Collective Hamiltonian ◽  
Covariant Density

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.

Spectroscopies of rod- and pear-shaped nuclei in covariant density functional theory

2018 ◽  
Vol 27 (10) ◽  
pp. 1830007 ◽  
Author(s):  
Pengwei Zhao ◽  
Zhipan Li
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Linear Chain ◽  
Mean Field ◽  
Spectroscopic Properties ◽  
Chain Structure ◽  
Functional Theory ◽  
Covariant Density Functional Theory ◽  
Collective Hamiltonian ◽  
Covariant Density

The spectroscopic properties play a crucial role in understanding the structure of nuclei, in particular, the shape and shape transitions of nuclei. In recent years, the exotic shapes of nuclear systems, such as the rod and pear shapes, have attracted a lot of attention. Covariant density functional theory (CDFT) has become a standard tool for nuclear structure calculations, and it provides a global and accurate description of nuclear ground states and excitations. In the present paper, we briefly review the recent progress in covariant density functional theory (DFT) for spectroscopic properties of the rod- and pear-shaped nuclei with the cranking calculations in a rotating mean field and the collective Hamiltonian method beyond mean field. The novel linear-chain structure of alpha clustering is discussed with the cranking approach, and low lying spectra of pear-shaped nuclei are illustrated with the quadrupole–octupole collective Hamiltonian.

scholarly journals MODERN APPLICATIONS OF COVARIANT DENSITY FUNCTIONAL THEORY

2011 ◽  
Vol 20 (02) ◽  
pp. 235-243 ◽  
Author(s):  
P. RING ◽  
H. ABUSARA ◽  
A.V. AFANASJEV ◽  
G.A. LALAZISSIS ◽  
T. NIKŠIĆ ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Quantum Phase Transitions ◽  
Mean Field Theory ◽  
Mean Field ◽  
Microscopic Theory ◽  
Systematic Investigation ◽  
Functional Theory ◽  
Covariant Density Functional Theory ◽  
Covariant Density

Modern applications of Covariant Density Functional Theory (CDFT) are discussed. First we show a systematic investigation of fission barriers in actinide nuclei within constraint relativistic mean field theory allowing for triaxial deformations. In the second part we discuss a microscopic theory of quantum phase transitions (QPT) based on the relativistic generator coordinate method.

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