Abstract
The structure of nuclei with $Z\sim100$ is investigated systematically by the Cranked Shell Model (CSM) with pairing correlations treated by a Particle-Number Conserving (PNC) method. In the PNC method, the particle number is conserved and the Pauli 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 $\mu$) is proposed. The experimental kinematic moments of inertia and the band-head energies are reproduced quite well by the PNC-CSM calculations. The band crossing, the effects of high-$j$ intruder orbitals and deformation are discussed in detail.
Highlights
The exploration of the island of stability with high mass and charge, i.e., the region of superheavy elements (SHE), has been one of the fundamental questions in natural science
The Cranked Shell Model (CSM) with the pairing correlations treated by a Particle-Number Conserving (PNC) method [7, 8] is used to study the rotational and single-particle properties of Z ∼ 100 nuclei
By fitting the experimental single-particle levels in the odd-A nuclei with Z ≈ 100, we obtained a new set of Nilsson parameters κ and μ which are dependent on the main oscillator quantum number N as well as on the orbital angular momentum l [13, 14]
Summary
The exploration of the island of stability with high mass and charge, i.e., the region of superheavy elements (SHE), has been one of the fundamental questions in natural science. The rotational properties of transfermium nuclei will be strongly affected by these spherical orbitals. The Cranked Shell Model (CSM) with the pairing correlations treated by a Particle-Number Conserving (PNC) method [7, 8] is used to study the rotational and single-particle properties of Z ∼ 100 nuclei.
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