Cranked Relativistic Hartree-Bogoliubov Theory: Superdeformed Bands in the $A\sim 190$ Region

Abstract

Cranked Relativistic Hartree-Bogoliubov (CRHB) theory is presented as an extension of Relativistic Mean Field theory with pairing correlations to the rotating frame. Pairing correlations are taken into account by a finite range two-body force of Gogny type and approximate particle number projection is performed by Lipkin-Nogami method. This theory is applied to the description of yrast superdeformed rotational bands observed in even-even nuclei of the $A\sim 190$ mass region. Using the well established parameter sets NL1 for the Lagrangian and D1S for the pairing force one obtains a very successful description of data such as kinematic ($J^{(1)}$) and dynamic ($J^{(2)}$) moments of inertia without any adjustment of new parameters. Within the present experimental accuracy the calculated transition quadrupole moments $Q_t$ agree reasonably well with the observed data.

6 pages including 4 PostScript figures, uses RevTex, revised version, Phys.Rev. C, Rapid Communications, in press

Cited by in corpus (24)

• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Cranked Relativistic Hartree-Bogoliubov Theory: probing the gateway to superheavy nuclei
• Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
• Nuclear fusion in dense matter: Reaction rate and carbon burning
• Fission barriers in actinides in covariant density functional theory: the role of triaxiality
• Cranked Relativistic Hartree-Bogoliubov Theory: Formalism and Application to the Superdeformed Bands in the $A\sim 190$ region
• The time-dependent relativistic mean-field theory and the random phase approximation
• The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
• Axially deformed relativistic Hartree Bogoliubov with separable pairing force
• Collective multipole excitations in a microscopic relativistic approach
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Impact of pairing correlations on the orientation of the nuclear
• Moments of Inertia of Nuclei in the Rare Earth Region: A Relativistic versus Non-Relativistic Investigation
• Configuration interaction in symmetry-conserving covariant density functional theory
• Interpretation of the large-deformation high spin bands in selected A=158-168 nuclei
• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Pairing in Nuclei
• g-Factors and the Interplay of Collective and Single-Particle Degrees of Freedom in Superdeformed Mass-190 Nuclei
• Properties of superdeformed fission isomers in the cranked relativistic Hartree-Bogoliubov theory
• High-spin structures as the probes of proton-neutron pairing