Uncovering the Mechanism of Chiral Three-Nucleon Force in Driving Spin-Orbit Splitting

التفاصيل البيبلوغرافية
العنوان: Uncovering the Mechanism of Chiral Three-Nucleon Force in Driving Spin-Orbit Splitting
المؤلفون: Fukui, Tokuro, De Gregorio, Giovanni, Gargano, Angela
سنة النشر: 2024
المجموعة: Nuclear Experiment
Nuclear Theory
مصطلحات موضوعية: Nuclear Theory, Nuclear Experiment
الوصف: The three-nucleon force (3NF) is crucial in shaping the shell structure of atomic nuclei, particularly impacting the enhancement of spin-orbit (SO) splitting, especially in nuclei with significant deviations from stability. Despite its importance, the specific mechanisms driving this enhancement remain unclear. In this study, we introduce a decomposition scheme based on the rank of irreducible tensors forming the 3NF, derived from chiral effective field theory at next-to-next-to-leading order, to elucidate their influence on SO splitting. Within the shell-model framework, our analysis reveals that the rank-1 component of the 3NF is the primary factor enlarging the energy gap between the $0p_{3/2}$ and $0p_{1/2}$ single-particle levels in $p$-shell nuclei, while the rank-2 component makes a subdominant contribution. We also remark on the antisymmetry of the rank-1 3NF, as a means to clarify the disentanglement of quantum spin states. This study lays the groundwork for further exploration into this field toward a microscopic understanding of the 3NF impact on the nuclear shell structure.
Comment: Main text: 9 pages, 3 figures, 1 table. Supplemental Material included
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.02007
رقم الأكسشن: edsarx.2404.02007
قاعدة البيانات: arXiv