Realistic description of the rotational bands in rare earth nuclei by angular-momentum-projected multi-cranked configuration-mixing method

TL;DR

This paper introduces a microscopic method combining configuration-mixing and angular-momentum projection to accurately describe rotational bands in rare earth nuclei, achieving good agreement with experimental data.

Contribution

The paper presents a novel microscopic approach using multi-cranked configuration-mixing with angular-momentum projection for nuclear rotational bands.

Findings

Accurate moments of inertia for rare earth nuclei.

Successful description of two-neutron aligned band in $^{164}$Er.

Excellent agreement with experimental data where pairing is well modeled.

Abstract

Recently we have proposed a reliable method to describe the rotational band in a fully microscopic manner. The method has recourse to the configuration-mixing of several cranked mean-field wave functions after the angular-momentum-projection. By applying the method with the Gogny D1S force as an effective interaction, we investigate the moments of inertia of the ground state rotational bands in a number of selected nuclei in the rare earth region. As another application we try to describe, for the first time, the two-neutron aligned band in $^{164}$Er, which crosses the ground state band and becomes the yrast states at higher spins. Fairly good overall agreements with the experimental data are achieved; for nuclei, where the pairing correlations are properly described, the agreements are excellent. This confirms that the previously proposed method is really useful for study of the nuclear rotational motion.