Orateur
Description
Nuclear electromagnetic moments provide essential information in our understanding of nuclear structure. Observables such as electric quadrupole moments are highly sensitive to collective nuclear phenomena, whereas magnetic dipole moments offer sensitive probes to test our description of microscopic properties such as those of valence nucleons. Although great progress was achieved in the description of electromagnetic properties of light nuclei and experimental trends in certain isotopic chains, a unified and consistent description across the Segré chart of nuclear electromagnetic properties remains an open challenge for nuclear theory.
In our nuclear-DFT methodology, we align angular momenta along the intrinsic axial-symmetry axis with broken spherical and time-reversal symmetries. This allows us to explore fully the self-consistent charge, spin, and current polarizations. Spectroscopic moments are then determined for symmetry-restored wave functions and compared with available experimental data.
We determined the nuclear electric quadrupole and magnetic dipole moments in all one-particle and one-hole neighbours of eight doubly magic nuclei [1]. Such a dataset allowed us to adjust the time-odd mean-field channel of nuclear functionals to experimental data. Without further adjustments, we then determined the electromagnetic moments in paired nuclear states corresponding to the proton (neutron) quasiparticles blocked in the $\pi11/2^-$ ($\nu13/2^+$) intruder configurations [2]. We performed calculations for all deformed open-shell odd nuclei with $63\leq{Z}\leq82$ and $82\leq{N}\leq126$.
We obtained good agreement with data without using effective $g$-factors or effective charges in the dipole or quadrupole operators, respectively. We also showed that the intrinsic magnetic dipole moments, or those obtained for conserved intrinsic time-reversal symmetry, do not represent viable approximations of the spectroscopic ones, see the results plotted in the figure.
In this talk, I will review recent nuclear-DFT results obtained in the unpaired odd near doubly magic nuclei [1], heavy paired odd open-shell nuclei [2], and indium [3], silver [4], and tin [5] isotopes.
References
[1] P.L. Sassarini et al., J. Phys G 49 (2022) 11LT01
[2] J. Bonnard et al., arXiv:2209.09156
[3] A.R. Vernon et al., Nature 607 (2022) 260; A.R. Vernon et al., to be published; L. Nies et al., to be published
[4] R.P. de Groote et al., to be published
[5] T.J. Gray et al., to be published
Acknowledgements
This work was partially supported by the STFC Grant Nos.~ST/P003885/1 and ST/V001035/1, by the Polish National Science Centre under Contract No. 2018/31/B/ST2/02220, by a Leverhulme Trust Research Project Grant, by the Academy of Finland under the Academy Project No. 339243, and by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under award numbers DE-SC0021176 and DE-SC0021179. We acknowledge the CSC-IT Center for Science Ltd., Finland, for the allocation of computational resources. This project was partly undertaken on the Viking Cluster, which is a high performance compute facility provided by the University of York. We are grateful for computational support from the University of York High Performance Computing service, Viking and the Research Computing team.
