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

TL;DR

This paper systematically investigates the rotational bands in nuclei with atomic number around 100 using a particle-number conserving cranked shell model, providing new parameters and insights into the upbending mechanism.

Contribution

It introduces a new set of Nilsson and deformation parameters fitted to experimental spectra and applies a particle-number conserving method to accurately reproduce rotational properties.

Findings

Reproduces experimental moments of inertia and bandhead energies well.

Provides a clear understanding of the upbending mechanism in these nuclei.

Proposes new Nilsson and deformation parameters for Z~100 nuclei.

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 ($\varepsilon_2$ and $\varepsilon_4$) 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.