Additivity of effective quadrupole moments and angular momentum alignments in the A~130 nuclei

TL;DR

This paper tests the additivity principle for quadrupole moments and angular momentum in A~130 nuclei using self-consistent mean-field models, confirming its validity in high angular momentum regimes.

Contribution

It demonstrates the validity of the additivity principle for quadrupole moments and angular momentum in highly deformed A~130 nuclei using advanced mean-field calculations.

Findings

Additivity principle holds for quadrupole moments.

Additivity principle valid for angular momentum.

Supports single-particle models at high spins.

Abstract

The additivity principle of the extreme shell model stipulates that an average value of a one-body operator be equal to the sum of the core contribution and effective contributions of valence (particle or hole) nucleons. For quadrupole moment and angular momentum operators, we test this principle for highly and superdeformed rotational bands in the A~130 nuclei. Calculations are done in the self-consistent cranked non-relativistic Hartree-Fock and relativistic Hartree mean-field approaches. Results indicate that the additivity principle is a valid concept that justifies the use of an extreme single-particle model in an unpaired regime typical of high angular momenta.