scholarly journals Systematic study of nuclear matrix elements in neutrinoless double-βdecay with a beyond-mean-field covariant density functional theory

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
J. M. Yao ◽  
L. S. Song ◽  
K. Hagino ◽  
P. Ring ◽  
J. Meng
Keyword(s):  
Density Functional Theory ◽  
Systematic Study ◽  
Nuclear Matrix ◽  
Density Functional ◽  
Mean Field ◽  
Matrix Elements ◽  
Functional Theory ◽  
Covariant Density Functional Theory ◽  
Covariant Density

Nuclear matrix elements for neutrinoless double-beta decay in covariant density functional theory

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740020 ◽  
Author(s):  
J. Meng ◽  
L. S. Song ◽  
J. M. Yao
Keyword(s):  
Density Functional Theory ◽  
Beta Decay ◽  
Nuclear Matrix ◽  
Density Functional ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Matrix Elements ◽  
Functional Theory ◽  
Covariant Density Functional Theory ◽  
Covariant Density

We review the first fully relativistic description for the neutrinoless double-beta decay by the beyond-mean-field covariant density functional theory. The calculations of the nuclear transition matrix elements are based on a full relativistic transition operator and nuclear wave functions in which the dynamic effects of particle-number, angular-momentum, and parity conservations as well as shape fluctuations are incorporated. We find that the commonly used nonrelativistic approximation for the transition operator is justified within the mechanism of light-Majorana-neutrino exchange. We stress that reducing the discrepancies in the predicted nuclear matrix elements by different nuclear models is a major challenge in nuclear physics.

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.

Mass and lifetime of unstable nuclei in covariant density functional theory

2013 ◽  
Vol T154 ◽  
pp. 014010 ◽  
Author(s):  
J Meng ◽  
Y Chen ◽  
H Z Liang ◽  
Y F Niu ◽  
Z M Niu ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Functional Theory ◽  
Unstable Nuclei ◽  
Covariant Density Functional Theory ◽  
Covariant Density
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