Rotation and alignment of high-$j$ orbitals in transfermium nuclei

TL;DR

This paper systematically investigates the structure of transfermium nuclei around Z~100 using the Cranked Shell Model with Particle-Number Conserving pairing, providing new Nilsson parameters and insights into high-$j$ orbital behavior.

Contribution

It introduces a new set of Nilsson parameters fitted to experimental spectra and applies the PNC-CSM to accurately reproduce moments of inertia and band-head energies in transfermium nuclei.

Findings

Good agreement with experimental moments of inertia

Detailed analysis of band crossing and high-$j$ intruder orbitals

New Nilsson parameters for transfermium nuclei

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.