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

Meng, J.; Zhou, Shan‐Gui

doi:10.1088/0954-3899/42/9/093101

Cited by 213 publications

(157 citation statements)

References 246 publications

(779 reference statements)

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“…In the CDFT, a nucleus is treated as a system of nucleons interacting through exchanges of mesons and photons [82][83][84][85][86][87][88][89][90][91][92]. The effects of mesons are described either by mean fields or by point-like interactions between the nucleons [113,114].…”

Section: Formalism Of the Mdc-rhb Modelmentioning

confidence: 99%

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

et al. 2017

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We develop a multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model in which the pairing correlations are taken into account by making the Bogoliubov transformation. In this model, the nuclear shape is assumed to be invariant under the reversion of x and y axes; i.e., the intrinsic symmetry group is V4 and all shape degrees of freedom β λµ with even µ are included self-consistently. The RHB equation is solved in an axially deformed harmonic oscillator basis. A separable pairing force of finite range is adopted in the MDC-RHB model. The potential energy curves of neutron-rich even-even Zr isotopes are calculated with relativistic functionals DD-PC1 and PC-PK1 and possible tetrahedral shapes in the ground and isomeric states are investigated. The ground state shape of 110 Zr is predicted to be tetrahedral with both functionals and so is that of 112 Zr with the functional DD-PC1. The tetrahedral ground states are caused by large energy gaps around Z = 40 and N = 70 when β32 deformation is included. Although the inclusion of the β30 deformation can also reduce the energy around β20 = 0 and lead to minima with pear-like shapes for nuclei around 110 Zr, these minima are unstable due to their shallowness.

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Section: Formalism Of the Mdc-rhb Modelmentioning

confidence: 99%

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

et al. 2017

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“…In the CDFT [61][62][63][64][65][66][67][68][69][70], there are four types of covariant density functionals: the meson exchange or point-coupling nucleon interactions combined with the nonlinear or density dependent couplings [71][72][73][74][75][76][77] (see Ref. [78] for recent reviews).…”

Section: Formalismmentioning

confidence: 99%

Fission barriers from multidimensionally-constrained covariant density functional theories

Lü

Zhao

et al. 2017

EPJ Web Conf.

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Abstract. In recent years, we have developed the multidimensionally-constrained covariant density functional theories (MDC-CDFTs) in which both axial and spatial reflection symmetries are broken and all shape degrees of freedom described by β λµ with even µ, such as β 20 , β 22 , β 30 , β 32 , β 40 , etc., are included self-consistently. The MDC-CDFTs have been applied to the investigation of potential energy surfaces and fission barriers of actinide nuclei, third minima in potential energy surfaces of light actinides, shapes and potential energy surfaces of superheavy nuclei, octupole correlations between multiple chiral doublet bands in 78 Br, octupole correlations in Ba isotopes, the Y 32 correlations in N = 150 isotones and Zr isotopes, the spontaneous fission of Fm isotopes, and shapes of hypernuclei. In this contribution we present the formalism of MDC-CDFTs and the application of these theories to the study of fission barriers and potential energy surfaces of actinide nuclei.

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“…For the description of the structural properties of nuclear systems, the covariant density functional (CDF) theory has achieved great success during recent decades [15][16][17][18][19][20][21][22][23]. One of the most popular representatives is the relativistic Hartree approach with the no-sea approximation, namely, the relativistic mean field (RMF) theory [15,[24][25][26].…”

Section: F -mentioning

confidence: 99%

Impact of Fock terms on the isospin properties of nuclear matter

Sun

Zhao

Long

2016

EPJ Web of Conferences

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Several topics on the isospin properties of nuclear matter studied within the density-dependent relativistic Hartree-Fock theory are summarized. In detail, the effects of the Fock terms on the nuclear symmetry energy are listed, including the extra enhancement from the Fock terms of the isoscalar meson-nucleon coupling channels, the extra hyperon-induced suppression effect originating from the Fock channel, self-consistent tensor effects embedded automatically in the Fock diagrams, the enhanced density-dependent isospin-triplet potential part of the symmetry energy at high densities, a reduced kinetic symmetry energy at supranuclear density and so on. The results demonstrate the importance of the Fork diagram, especially from the isoscalar mesonnucleon coupling channels, on the isospin properties of the in-medium nuclear force.The isospin properties of nuclear matter, such as the nuclear symmetry energy, the nucleon isovector (symmetry) potential, and the neutron-proton effective mass splitting, play essential roles in studying several topics of nuclear structure, nuclear reactions and nuclear astrophysics [1][2][3][4][5][6][7]. Among them of great contemporary interest is the nuclear symmetry energy E S [8], which has been investigated extensively within both phenomenological approaches and microscopic many-body theories using almost all available effective and/or realistic nuclear interactions, see, e.g., Refs. [9][10][11][12][13][14]. Due F -to our limited knowledge about the in-medium effects of nucleon-nucleon (NN) interactions and correlations along with technical difficulties to treat quantum many-body systems accurately, distinct deviations of predicted E S values appear beyond the nuclear saturation density ρ 0 .For the description of the structural properties of nuclear systems, the covariant density functional (CDF) theory has achieved great success during recent decades [15][16][17][18][19][20][21][22][23]. One of the most popular representatives is the relativistic Hartree approach with the no-sea approximation, namely, the relativistic mean field (RMF) theory [15,[24][25][26]. However, due to the limit of the approach itself, significant system degrees of freedom are missing in RMF, such as the one-pion exchange. The non-local effects of nuclear forces and the momentum dependence of self-energies are also hardly to be treated. With the growth of computational facilities and the development of new methods, such defects can be eliminated with the inclusion of exchange (Fock) terms, which generates a new CDF model -the relativistic Hartree-Fock (RHF) theory with density-dependent meson-nucleon couplings (i.e., the DDRHF theory) [27]. Substantial improvements are gained by DDRHF in the selfconsistent description of the ground state properties [27][28][29][30][31][32][33][34][35][36][37][38], the excitation modes [39][40][41][42] of finite nuclei and nuclear astrophysics as well [43][44][45][46].It has been shown from several studies that the inclusion of the Fock terms in the CDF theory could ...

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

Cited by 213 publications

References 246 publications

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

Fission barriers from multidimensionally-constrained covariant density functional theories

Impact of Fock terms on the isospin properties of nuclear matter

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