Systematic investigation of the rotational bands in nuclei with $Z\approx 100$ using a particle-number conserving method based on a cranked shell model

Abstract

The rotational bands in nuclei with $Z\approx 100$ are investigated systematically by using a cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are taken into account exactly. By fitting the experimental single-particle spectra in these nuclei, a new set of Nilsson parameters ($\kappa$ and $\mu$) and deformation parameters (${\epsilon }_2$ and ${\epsilon }_4$) are proposed. The experimental kinematic moments of inertia for the rotational bands in even-even, odd-$A$ and odd-odd nuclei, and the bandhead energies of the 1-quasiparticle bands in odd-$A$ nuclei, are reproduced quite well by the PNC-CSM calculations. By analyzing the $\omega$-dependence of the occupation probability of each cranked Nilsson orbital near the Fermi surface and the contributions of valence orbitals in each major shell to the angular momentum alignment, the upbending mechanism in this region is understood clearly.

21 pages, 24 figures, extended version of arXiv: 1101.3607 (Phys. Rev. C83, 011304R); added refs.; added Fig. 4 and discussions; Phys. Rev. C, in press

References in corpus (10)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Synthesis of superheavies: State of affairs and outlooks
• Potential Energy Surfaces of Actinide Nuclei from a Multi-dimensional Constraint Covariant Density Functional Theory: Barrier Heights and Saddle Point Shapes
• Nonaxial-octupole effect in superheavy nuclei
• Particle-number conserving analysis of rotational bands in 247,249Cm and 249Cf
• Systematic Study of Survival Probability of Excited Superheavy Nuclei
• Competition in rotation-alignment between high-j neutrons and protons in transfermium nuclei
• Nuclear pairing reduction due to rotation and blocking
• gamma-vibrational states in superheavy nuclei
• Analysis of the Fusion Hindrance in Mass-symmetric Heavy Ion Reactions

Cited by in corpus (36)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Multidimensionally-constrained relativistic mean field models and potential energy surfaces of actinide nuclei
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
• Nonaxial-octupole Y_{32} correlations in N = 150 isotones from multidimensional constrained covariant density functional theories
• Rotational properties of the superheavy nucleus 256Rf and its neighboring even-even nuclei in particle-number conserving cranked shell model
• Tetrahedral shapes of neutron-rich Zr isotopes from multidimensionally-constrained relativistic Hartree-Bogoliubov model
• Understanding the different rotational behaviors of ${}^{252}$No and ${}^{254}$No
• Systematic study of shell gaps in nuclei
• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Nuclear superfluidity for antimagnetic rotation in ${}^{105}$Cd and ${}^{106}$Cd
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Relativistic mean field plus exact pairing approach to open shell nuclei
• Microscopic description of rotation: From ground states to the extremes of ultra-high spin
• Potential energy surfaces of actinide and transfermium nuclei from multi-dimensional constraint covariant density functional theories
• Effects of proton angular momentum alignment on the two-shears-like mechanism in ${}^{101}$Pd
• Insight into nuclear midshell structures by study of $K$-isomers in rare-earth neutron-rich nuclei
• Emergence of High-Order Deformation in Rotating Transfermium Nuclei: A Microscopic Understanding
• In-beam gamma-ray and electron spectroscopy of ${}^{249,251}$Md
• Addressing spectroscopic quality of covariant density functional theory
• The alternating-parity bands of \element{236,238}{U} and \element{238,240}{Pu} in a particle-number conserving method based on cranked shell model
• Generalized Seniority on Deformed Single-Particle Basis
• Systematic investigation of the high-$K$ isomers and the high-spin rotational bands in the neutron rich Nd and Sm isotopes by a particle-number conserving method
• Rotational Properties of the Odd-$Z$ Transfermium Nucleus ${}^{255}$Lr by a Particle-number-conserving Method in the Cranked Shell Model
• Particle-number conserving analysis for the 2-quasiparticle and high-$K$ multi-quasiparticle states in doubly-odd ${}^{174,176}$Lu
• Thermodynamics of pairing transition for Odd-A nuclei
• Description of collective and quasiparticle excitations in deformed actinide nuclei: The first application of the Heavy Shell Model
• Backbendings of Superdeformed bands in ${}^{36,40}$Ar
• Investigation of the two-quasiparticle bands in the doubly-odd nucleus ${}^{166}$Ta using a particle-number conserving cranked shell model
• High-K isomer and the rotational properties in the odd-Z neutron-rich nucleus ${}^{163}$Eu
• Parity-doublet bands in the odd-\bm{$A$} isotones \element{237}U and \element{239}Pu by a particle-number-conserving method based on the cranked shell model
• Low-energy spectra of nobelium isotopes: Skyrme random-phase-approximation analysis
• Rotation and alignment of high-$j$ orbitals in transfermium nuclei
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Description of the odd ${}^{249-253}$No nuclei using Skyrme functionals with modified spin-spin interaction