In-medium $Λ$ isospin impurity from charge symmetry breaking in the ${_Λ^4}{\rm H}-{_Λ^4}{\rm He}$ mirror hypernuclei
M. Schäfer, N. Barnea, A. Gal
备注：
5 pages, 4 figures, 1 table, to be submitted for publication. v2: slightly shortened, submitted for publication. v3: slightly revised in response to referee remarks. v4: as published in PRC 106 (2022) L031001. v5: inessential typos corrected in eqs.(4,5,9) here and in the latest PRC published version
The $Λ$ separation energies in the mirror hypernuclei ${_Λ^4}{\rm H}-{_Λ^4}{\rm He}$ exhibit large charge symmetry breaking (CSB). Analyzing this CSB within pionless effective field theory while using partially conserved baryon-baryon SU(3) flavor symmetry, we deduce a $Λ-Σ^0$ induced in-medium admixture amplitude ${\cal A}_{I=1}\approx 1.5\%$ in the dominantly isospin $I=0$ $Λ$ hyperon. Our results confirm the free-space value ${\cal A}^{(0)}_{I=1}$ inferred directly within the SU(3) baryon octet by Dalitz and von-Hippel in 1964 and reaffirmed in a recent QCD+QED lattice calculation. Furthermore, exploring the consequences of SU(3) flavor symmetry on the $Λ$-nucleon interaction, we find that CSB is expected to impact the $S=1$ and $S=0$ spin channels in opposite directions, with the latter dominating by an order of magnitude. These observations explain a recent deduction of $Λ$-nucleon CSB strengths.
Triaxially deformed relativistic point-coupling model for $Λ$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
Implications of Recent Data on Non-mesonic Decay of Light Lambda-hypernuclei
我们用布洛克和达利茨的唯象模型分析了轻λ-超核（直到^12_λ C）的非介子衰变的最新数据。将自旋-同位旋相关的Lambda N -> NN反应速率拟合到六个数据点，我们预测了合理一致的剩余数据。我们发现，尽管Lambda N -> NN相互作用的短程性质，p壳层超核的非介子衰变似乎是由p壳层中子强烈诱导的。此外，最近的数据表明，在强子水平上得到很好证明的Delta I = 1/2规则在核介质中可能不是神圣的，Delta I = 3/2相互作用似乎需要描述λ超核的非介子衰变。
Machine learning the single-$Λ$ hypernuclei with neural-network quantum states
Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University（复旦大学现代物理研究所核物理与离子束应用教育部重点实验室）；State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University（北京大学物理学院核物理与技术国家重点实验室）；Graduate School of China Academy of Engineering Physics（中国工程物理研究院研究生部）；Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University（上海理论核物理研究中心（国家自然科学基金委与复旦大学））
Influence of configuration-interaction on isospin impurities and isospin symmetry breaking corrections to superallowed $0^+\rightarrow 0^+$ beta decays
University of Warsaw（华沙大学）；The University of Manchester（曼彻斯特大学）；Akal University（阿卡尔大学）；Osaka University（大阪大学）
