Electromagnetic moments of ground and excited states calculated in heavy odd-N open-shell nuclei

J. Dobaczewski, A. E. Stuchbery, G. Danneaux, A. Nagpal, P. L. Sassarini, H. Wibowo

Published: 2025/9/30

Abstract

Within nuclear DFT, we calculated spectroscopic magnetic dipole and electric quadrupole moments in various quasiparticle configurations of odd-$N$, even-$Z$, $83\leq{}N\leq125$ nuclei ranging from gadolinium to osmium. By tagging the blocked quasiparticles with single-particle states of semi-magic dysprosium isotope, we efficiently calculated 22 prolate and 22 oblate states in each of the 154 nuclei, and we tracked them across the entire major neutron shell. We compared this extensive set of theoretical results with experimental data available for 82 states in the region. Breaking the rotational, time-reversal, and signature symmetries, we aligned the intrinsic angular momenta along the axis of axial symmetry, thereby enabling the full shape and spin self-consistent polarizations. The spectroscopic moments were then obtained by restoring the rotational symmetry. We conducted a detailed analysis of the pattern of agreement and disagreement between theory and experiment in individual nuclei. For the magnetic dipole moments, the agreement with data varies and is characterized by an overall average and RMS deviations of 0.11$\mu_N$ and 0.35$\mu_N$, respectively. For the electric quadrupole moments, a good corresponding agreement of 0.16b and 0.29b was observed.