发表机构
University of Warsaw; The University of Manchester; Akal University; Osaka University（华沙大学; 曼彻斯特大学; 阿卡尔大学; 大阪大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究应用DFT-NCCI框架，揭示组态相互作用对¹⁰C等核素基态与激发态同位旋杂质的不同影响，明确其对¹⁰C超允许β衰变ISB修正的作用，并发现ISB修正对核对称能的强敏感性。
AI 中文摘要
首次应用基于对称性守恒密度泛函理论（DFT）的无芯组态相互作用（DFT-NCCI）框架，研究组态相互作用（CI）对¹⁰C、¹⁰B和¹⁴N基态与激发态中库仑（同位旋）杂质α_C的影响，以及对¹⁰C超允许0⁺→0⁺β衰变同位旋对称性破缺（ISB）修正的影响。研究发现，在DFT-NCCI框架内，CI对基态同位旋杂质的影响可忽略不计，基态同位旋杂质主要由单一门态主导；相比之下，CI会显著改变激发态的同位旋杂质，包括¹⁰B中的同位旋相似态I=0⁺,T=1态，因此CI对¹⁰C超允许β衰变的ISB修正也有不可忽略的影响。计算结果显示，当仅将库仑相互作用作为ISB的唯一来源时，得到的平均δ_C为0.45(4)%；当额外包含短程电荷对称性破缺（CSB）项时，平均δ_ISB为0.46(6)%，表明该衰变的ISB修正对短程CSB相互作用无统计上显著的依赖。与前期结果的比较显示，ISB修正对核对称能具有强敏感性，核对称能决定同位旋恢复力的强度，而由于其对有效相互作用中动量相关项的复杂依赖，有限核中的核对称能值仍难以约束。
英文摘要
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, $α_{\rm C}$, in the ground and excited states of $^{10}$C, $^{10}$B, and $^{14}$N, as well as on the isospin-symmetry-breaking (ISB) correction to the superallowed $0^+ \rightarrow 0^+$ $β$ decay of $^{10}$C. 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 $^{10}$B. Hence, it also has a non-negligible impact on the ISB correction to the superallowed $β$ decay of $^{10}$C. Our calculations yield $\barδ_{\rm C}=0.45(4)\%$ when the Coulomb interaction is taken as the sole source of ISB, and $\barδ_{\rm ISB}=0.46(6)\%$ 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.
Comments12 pages, 10 figures
