Fission of actinides and superheavy nuclei: covariant density functional theory perspective

The current status of the application of covariant density functional theory to the description of fission barriers in actinides and superheavy nuclei is reviewed. The achievements and open problems are discussed.Comment: 8 pages, the proceedings of Fifth International conference on "Fission and properties of neutron-rich nuclei", November 4-10, 2012, Sanibel Island, USA in pres

Cluster structures, ellipsoidal shapes and nuclear molecules in light A=12-50 nuclei

The transition from cluster structures to extremely elongated ellipsoidal shapes and nuclear molecules in light $A=12-50$ $(N \sim Z)$ nuclei has been studied within the framework of covariant density functional theory. Nodal structure of the occupied single-particle states plays a critical role in microscopic understanding of this transition. This is illustrated by the analysis of dominant types of single-particle density distributions and their evolution (from the bottom of nucleonic potential) with deformation and particle number. The microscopic mechanism of the transition from clustered structures to ellipsoidal shapes and nuclear molecules and between them is discussed.Comment: EPJ Web of Conferences 194, 06001 (2018), 6 page

Covariant energy density functionals: the assessment of global performance across the nuclear landscape

The assessment of the global performance of the state-of-the-art covariant energy density functionals and related theoretical uncertainties in the description of ground state observables has recently been performed. Based on these results, the correlations between global description of binding energies and nuclear matter properties of covariant energy density functionals have been studied in this contribution.Comment: 4 pages, 2 figures, Contribution to the Proceedings of the International Nuclear Physics Conference 'Nuclear Structure and Dynamics III', Portoroz, Slovenia, 201

Description of rotating N=ZN=Z nuclei in terms of isovector pairing

A systematic investigation of the rotating $N=Z$ even-even nuclei in the mass $A=58-80$ region has been performed within the frameworks of the Cranked Relativistic Mean field, Cranked Relativistic Hartree Bogoliubov theories and cranked Nilsson-Strutinsky approach. Most of the experimental data is well accounted for in the calculations. The present study suggests that there is strong isovector $np$-pair field at low spin, the strength of which is defined by the isospin symmetry. At high spin, the isovector pair field is destroyed and the data are well described by the calculations assuming zero pairing. No clear evidence for the existence of the isoscalar $t=0$ $np$-pairing has been obtained in the present investigation.Comment: 20 pages + 19 figures, submitted to Phys. Rev.

Hyperdeformation in the Cd isotopes: a microscopic analysis

A systematics search for the nuclei in which the observation of discrete hyperdeformed (HD) bands may be feasible with existing detector facilities has been performed in the Cd isotopes within the framework of cranked relativistic mean field theory. It was found that the $^{96}$Cd nucleus is a doubly magic HD nucleus due to large proton Z=48 and neutron N=48 HD shell gaps. The best candidate for experimental search of discrete HD bands is $^{107}$Cd nucleus characterized by the large energy gap between the yrast and excited HD bands, the size of which is only 15% smaller than the one in doubly magic HD $^{96}$Cd nucleus.Comment: 7 pages, 4 figures, accepted for publication in Physical Review

Cranked relativistic Hartree-Bogoliubov theory: Superdeformation in the A∼190A\sim 190 mass region

A systematic investigation of the yrast superdeformed (SD) rotational bands in even-even nuclei of the $A\sim 190$ mass region has been performed within the framework of the cranked relativistic Hartree-Bogoliubov theory. The particle-hole channel of this theory is treated fully relativistically, while a finite range two-body force of Gogny type is used in the particle-particle (pairing) channel. Using the well established parameter sets NL1 for the Lagrangian and D1S for the Gogny force, very good description of experimental data is obtained with no adjustable parameters.Comment: 5 pages, 2 Postscript figures, uses sprocl.sty, contribution to the Proceedings of the International Conference ``Bologna 2000, Structure of the Nucleus at the Dawn of the Century'