CAREER: Few-Body Physics in Finite Volume

了解亚原子物质如何自我组织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一个中心目标，这一目标涉及物理学的许多领域。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潜在基本力的支配的。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会产生有效的团簇结构。新的方法将基于一项引人入胜的观察，即通过研究物理系统如何随着模拟它的有限几何体的大小变化来推断其真实世界的属性。它们不仅与核物理有关，而且还与结构非常相似的其他领域有关。该项目将对研究生和本科生进行支持和培训，并将与“先用Bootstrap进行物理计算建模”项目相结合，进一步加强高中物理教育。这一合作将通过整合物理和编程技能的活动扩大对STEM主题的参与。该项目将加强核物理与量子色动力学(QCD)的联系，量子色动力学是强相互作用的基本理论。它将通过研究不同核有效场理论(EFT)的联系来实现这一点，利用它们重叠的适用范围来利用对具有少体晕或团簇结构的奇异稀有同位素的预测能力。它还将通过分析如何从核力量的系统扩展中产生精确和准确的核谱，进一步解决建造核快速傅里叶变换的重要问题。最后，它将研究核连续统可观测(共振和响应函数)，涵盖核现象的丰富性，并讨论核态与用于收集关于核的实验信息的电磁探测器的相互作用。有限体积技术能够以一种优雅和统一的方式处理所有这些方面，而且它们还提供了与QCD或冷原子系统的晶格模拟相关的项目见解。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势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.