Nuclear DFT electromagnetic moments of intruder configurations calculated in heavy deformed open-shell odd nuclei with 63<=Z<=82 and 82<=N<=126

Abstract

Within the nuclear DFT approach, we determined the magnetic dipole and electric quadrupole moments for paired nuclear states corresponding to the proton (neutron) quasiparticles blocked in the π11/2 − (ν13/2 + ) intruder configurations. We performed calculations for all deformed openshell odd nuclei with 63 ≤ Z ≤ 82 and 82 ≤ N ≤ 126. Time-reversal symmetry was broken in the intrinsic reference frame and self-consistent shape and spin core polarizations were established. We determined spectroscopic moments of angular-momentum-projected wave functions and compared them with available experimental data. 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 timereversal symmetry, do not represent viable approximations of the spectroscopic ones.

Opportunities for Fundamental Physics Research with Radioactive Molecules

“…A global DFT and beyond-DFT description of nuclear moments, see, e.g., (Bonneau et al, 2015;Borrajo and Egido, 2017;Li and Meng, 2018;Péru et al, 2021), has not yet been fully developed across the nuclear chart, although the first attempts are promising (Sassarini et al, 2022;Bonnard et al, 2022). The challenge here is to replace the adjustments of interactions, coupling constants, valence spaces, or effective charges/g-factors separately in different regions of the nuclear chart by a consistent Scaled spectroscopic moments of nuclear magnetization calculated within the Hartree-Fock-Bogolyubov (HFB) DFT with the UNEDF1 Skyrme functional (Kortelainen et al, 2012) for the 7/2+ states in silver isotopes.…”

“…For magnetic moments, such a description will require improving the time-odd mean-field sector of the functional, which has so far been largely neglected because only the time-even observables have been usually considered in the functional's calibration. The work in this direction will proceed from the odd near magic nuclei (Sassarini et al, 2022) through the isotopic and isotonic chains of the odd neighbours of semi-magic nuclei (Vernon et al, 2022) and odd-A semimagic nuclei, and finally to open-shell transitional and deformed nuclei (Bonnard et al, 2022).…”

“…This calls for developing novel functionals based on the density-independent functional generators, which can guarantee the self-interaction free approach (Tarpanov et al, 2014;Sheikh et al, 2021). In addition, since the polarisation of the charge and spin distributions by odd particles or holes become essential (Sassarini et al, 2022;Vernon et al, 2022;Bonnard et al, 2022), one has to properly consider relative orientations of the intrinsic shapes and currents, which may significantly affect the results (Satuła et al, 2012). Finally, whenever the single-reference description of nuclear moments turns out to be inadequate (Sassarini et al, 2022), a consistent multi-reference configuration-interaction approach (Satuła et al, 2016) needs to be systematically exploited.…”