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

Abstract

Within nuclear DFT, we calculated spectroscopic magnetic dipole and electric quadrupole moments for various quasiparticle configurations of odd-$N$, even-$Z$, $83\le N\le 125$ nuclei ranging from gadolinium to osmium. By tagging the blocked quasiparticles with single-particle states of the semi-magic dysprosium isotope, we efficiently computed 22 prolate and 22 oblate states for each of the 154 nuclei and tracked them across the entire major neutron shell. We compared this extensive set of theoretical results with experimental data for 82 states in the region. Breaking rotational, time-reversal, and signature symmetries, we aligned the intrinsic angular momenta along the axis of axial symmetry, thereby enabling full shape- and spin-self-consistent polarizations. The spectroscopic moments were then obtained by restoring 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, agreement with the data varies and is characterized by an overall average and RMS deviation of 0.11 ${\mu }_N$ and 0.35 ${\mu }_N$, respectively. For the electric quadrupole moments, a good corresponding agreement of 0.16 b and 0.29 b was observed.

45 pages, 52 figures, 4 tables (includes Supplemental Material and Addendum), published in Physical Review C

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Cited by in corpus (1)

• Impact of octupole deformation on the nuclear electromagnetic response