Charge radii of calcium isotopes within relativistic configuration-interaction density functional theory
Abstract
The charge radii of calcium isotopes are investigated within the framework of relativistic configuration-interaction density functional (ReCD) theory. The ReCD theory microscopically incorporates beyond-mean-field correlations through rotational symmetry restoration and configuration mixing among quasiparticle excited states, and treats even-even and odd-A isotopes on the same footing. It is found that beyond-mean-field correlations significantly soften the potential energy surfaces of calcium isotopes and shift the energy minima from nearly spherical mean-field solutions to deformed shapes. The quadrupole deformation parameters predicted by the ReCD theory show much better agreement with the available experimental data than the mean-field results, supporting the reliability of the calculated potential energy surfaces and highlighting the important role of beyond-mean-field correlations. Owing to the sensitive dependence of charge radii on nuclear deformation, the charge radii obtained within the ReCD framework are generally larger than the mean-field predictions. The nearly identical charge radii of 40Ca and 48Ca, as well as the unexpectedly large charge radius of 52Ca, are well reproduced. Compared with the mean-field calculations, the description of the odd-even staggering is improved, especially for the enhanced charge radii of 42Ca and 44Ca. It is also worth noting that secondary local minima appear in the ReCD-based potential energy surfaces of the odd-A calcium isotopes 41,43,47Ca. The present results suggest that shape mixing between different local minima, which is not fully included in the present calculation, may further improve the description of the pronounced odd-even staggering observed in calcium isotopes.
Versions
Related
- Revisiting nuclear chirality in 128Cs with relativistic configuration-interaction density functional theory
- Configuration-interaction time-dependent density functional theory for nuclear dynamics
- Shell structure and spontaneous decay of superheavy Z=124 isotopes with the deformed relativistic Hartree-Bogoliubov theory in continuum
- Precise description of spontaneous fission half-lives of Rutherfordium isotopes within the relativistic Hartree-Bogoliubov theory
- N = 32 Shell Evolution in Calcium Isotopes: Evidence from Macroscopic to Microscopic Models
BibTeX
@misc{qu2026charge,
title = {{Charge radii of calcium isotopes within relativistic configuration-interaction density functional theory}},
author = {Teng Qu and Bo Li and Yakun Wang},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2607.08478},
eprint = {2607.08478},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.08478},
}
RIS
TY - UNPB
TI - Charge radii of calcium isotopes within relativistic configuration-interaction density functional theory
AU - Teng Qu
AU - Bo Li
AU - Yakun Wang
PY - 2026
DA - 2026/07/09
PB - arXiv
DO - 10.48550/arxiv.2607.08478
UR - https://arxiv.org/abs/2607.08478
AB - The charge radii of calcium isotopes are investigated within the framework of relativistic configuration-interaction density functional (ReCD) theory. The ReCD theory microscopically incorporates beyond-mean-field correlations through rotational symmetry restoration and configuration mixing among quasiparticle excited states, and treats even-even and odd-A isotopes on the same footing. It is found that beyond-mean-field correlations significantly soften the potential energy surfaces of calcium isotopes and shift the energy minima from nearly spherical mean-field solutions to deformed shapes. The quadrupole deformation parameters predicted by the ReCD theory show much better agreement with the available experimental data than the mean-field results, supporting the reliability of the calculated potential energy surfaces and highlighting the important role of beyond-mean-field correlations. Owing to the sensitive dependence of charge radii on nuclear deformation, the charge radii obtained within the ReCD framework are generally larger than the mean-field predictions. The nearly identical charge radii of ^40Ca and ^48Ca, as well as the unexpectedly large charge radius of ^52Ca, are well reproduced. Compared with the mean-field calculations, the description of the odd-even staggering is improved, especially for the enhanced charge radii of ^42Ca and ^44Ca. It is also worth noting that secondary local minima appear in the ReCD-based potential energy surfaces of the odd-A calcium isotopes ^41,43,47Ca. The present results suggest that shape mixing between different local minima, which is not fully included in the present calculation, may further improve the description of the pronounced odd-even staggering observed in calcium isotopes.
ER -