Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed 0+→ 0+ beta decays
Abstract
The symmetry-conserving density functional theory (DFT)-based no-core configuration-interaction (DFT-NCCI) framework is applied for the first time to investigate the impact of configuration interaction (CI) on the Coulomb (isospin) impurity, αC, in the ground and excited states of 10C, 10B, and 14N, as well as on the isospin-symmetry-breaking (ISB) correction to the superallowed 0+ → 0+ β decay of 10C. We demonstrate, among other findings, that within the DFT-NCCI framework CI has a negligible effect on the ground-state isospin impurities, which are dominated by a single doorway state. In contrast, CI significantly modifies the impurities in excited states, including the isobaric analogue I=0+, T=1 state in 10B. Hence, it also has a non-negligible impact on the ISB correction to the superallowed β decay of 10C. Our calculations yield δ̅C=0.45(4)% when the Coulomb interaction is taken as the sole source of ISB, and δ̅ISB=0.46(6)% when short-range charge-symmetry-breaking (CSB) terms are included in addition. Hence, no statistically significant dependence of the ISB correction on the short-range CSB interaction is observed for this decay. Comparison with our previous results reveals a strong sensitivity to the nuclear symmetry energy, which governs the strength of the isospin-restoring force and whose value in finite nuclei remains difficult to constrain because of its intricate dependence on the momentum-dependent terms of the effective interaction.
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BibTeX
@misc{wysocki2026influence,
title = {{Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed $0^+\rightarrow 0^+$ beta decays}},
author = {Jakub Wysocki and Jan Miśkiewicz and Jagjit Singh and Wojciech Satuła},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03545},
eprint = {2609.03545},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03545},
}
RIS
TY - UNPB
TI - Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed 0^+→ 0^+ beta decays
AU - Jakub Wysocki
AU - Jan Miśkiewicz
AU - Jagjit Singh
AU - Wojciech Satuła
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03545
UR - https://arxiv.org/abs/2609.03545
AB - The symmetry-conserving density functional theory (DFT)-based no-core configuration-interaction (DFT-NCCI) framework is applied for the first time to investigate the impact of configuration interaction (CI) on the Coulomb (isospin) impurity, α_C, in the ground and excited states of ^10C, ^10B, and ^14N, as well as on the isospin-symmetry-breaking (ISB) correction to the superallowed 0^+ → 0^+ β decay of ^10C. We demonstrate, among other findings, that within the DFT-NCCI framework CI has a negligible effect on the ground-state isospin impurities, which are dominated by a single doorway state. In contrast, CI significantly modifies the impurities in excited states, including the isobaric analogue I=0^+, T=1 state in ^10B. Hence, it also has a non-negligible impact on the ISB correction to the superallowed β decay of ^10C. Our calculations yield δ̅_C=0.45(4)% when the Coulomb interaction is taken as the sole source of ISB, and δ̅_ISB=0.46(6)% when short-range charge-symmetry-breaking (CSB) terms are included in addition. Hence, no statistically significant dependence of the ISB correction on the short-range CSB interaction is observed for this decay. Comparison with our previous results reveals a strong sensitivity to the nuclear symmetry energy, which governs the strength of the isospin-restoring force and whose value in finite nuclei remains difficult to constrain because of its intricate dependence on the momentum-dependent terms of the effective interaction.
ER -