CAREER: Few-Body Physics in Finite Volume

了解亚原子物质如何组织自己并产生我们自己的存在以及在宇宙中观察到的现象是核科学的核心目标，这与物理学的许多领域都相关。 通过这个项目，PI和他的合作者将开发新的理论技术和量子系统的数值模拟，这将有助于理解它们是如何受到基本力的控制的。 这将特别解决原子核景观中的奇异角落，在那里，许多成分的相互作用产生了有效的簇结构。 新方法将基于一个有趣的观察，即物理系统的真实世界属性可以通过研究它如何随着模拟的有限几何形状的大小而变化来推断。 它们不仅与核物理有关，而且与其他具有非常相似结构的领域有关。 该项目将支持和培训研究生和本科生，并与“物理学计算建模第一与Bootstrap”计划一起，进一步加强高中物理教育。 该合作将通过整合物理和编程技能的活动扩大STEM主题的参与。该项目将加强核物理与强相互作用的基础理论量子色动力学（QCD）的联系。 它将通过研究不同的核有效场理论（EFT）的联系来实现这一目标，利用它们的重叠适用性机制来利用对具有少体晕或簇结构的稀有同位素的预测能力。 它还将通过分析如何从核力的系统扩展中产生精确和准确的核光谱来解决核EFT构建中的重要问题。 最后，它将研究核连续可观测量（共振和响应函数），涵盖核现象的丰富性，并解决核状态与用于收集有关核的实验信息的电磁探针的相互作用。 该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

Understanding how subatomic matter organizes itself and gives rise to both our own existence as well as to phenomena observed in the universe is a central goal of nuclear science that is relevant across many areas of physics. With this project, the PI and his collaborators will develop novel theoretical techniques and numerical simulations of quantum systems that will help understand how they are governed by the underlying fundamental forces. This will in particular address exotic corners in the landscape of atomic nuclei, where an effective cluster structure emerges out of the interaction of many constituents. The new methods will be based on the fascinating observation that real-world properties of a physical system can be inferred from studying how it changes with the size of a finite geometry that it is simulated in. They will be relevant not only for nuclear physics, but also for other areas which exhibit very similar structures. The project will support and train both graduate and undergraduate students, and together with the "Computational Modeling in Physics First with Bootstrap" program it will furthermore enhance high-school physics education. This collaboration will broaden participation in STEM topics through activities that integrate physics and programming skills.The project will strengthen the connection of nuclear physics to Quantum Chromodynamics (QCD), the fundamental theory of the strong interaction. It will achieve this by studying the connection of different nuclear effective field theories (EFTs), exploiting their overlapping regimes of applicability to leverage predictive power towards exotic rare isotopes with few-body halo or cluster structure. It will furthermore address important questions in the construction of nuclear EFTs by analyzing how precise and accurate nuclear spectra emerge out of systematic expansions of the nuclear force. Finally, it will study nuclear continuum observables (resonances and response functions), covering the richness of nuclear phenomena and addressing the interplay of nuclear states with electromagnetic probes that are used to gather experimental information about nuclei. Finite-volume techniques enable the treatment of all of these aspects in an elegant and unified way, and they furthermore render insights from the project relevant for lattice simulations of QCD or cold atomic systems.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.