Excellence in Research: Yakubovsky Calculations for Six-Nucleon Bound States

理解原子核的结构和性质，它比它所处的原子小10万倍，以及构成原子核的质子和中子之间的基本力，已经通过量子理论成为可能。在量子力学中，这些信息可以通过求解描述物理系统性质的薛定谔方程来获得。这个方程描述了质子和中子如何被强核力限制在原子核内。该项目将允许在并行环境中开发复杂的计算机算法和程序，以解决氦-6和锂-6核的薛定谔方程。这些都是由六个核子组成的轻核。PI将指导中央州立大学（CSU）的本科STEM学生，这是一所历史悠久的黑人大学。学生将获得并行编程和高性能计算的实用技能，同时获得使用计算物理学研究原子核结构的信心。CSU的学生将通过参与这个项目来学习计算机编程和数值方法的关键技能，从而提高他们获得STEM劳动力或高级学位的资格。Schroedinger方程通常用于核物理中的基准测试和开发核子-核子相互作用模型。虽然六核子束缚态的研究在计算上是一个具有挑战性和昂贵的问题，它的研究提供了深入了解核相互作用的丰富结构。本项目的主要目标是在动量空间中数值求解Faddeev-Yakubovsky形式的薛定谔方程，以计算六核子结合能和波函数。本计画的目的是借由发展相关的平行电脑演算法与程式，以子波分解的方式来实现六核子雅库博夫斯基方程的数值解。本研究将展示如何在一个完整的六体处理耦合Faddeev-Yakubovsky积分方程的完整的解决方案，可以探测现代的两个和三个核子的相互作用。它还提供了一个深入的洞察晕结构的He-6和基态的Li-6的属性。该项目具有超越核物理的潜在更广泛的影响。六体束缚系统在其他物理学领域的存在，从原子物理学（超冷量子气体中Efimov物理的探索）到粒子物理（由六个夸克组成的双重子共振），该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查进行评估，被认为值得支持的搜索.

Understanding the structure and properties of the atomic nucleus, which is about 100,000 times smaller than the atom it lives inside, and the fundamental forces between the protons and neutrons that constitute the nucleus, has been made possible by quantum theory. In quantum mechanics, this information can be acquired by solving the Schroedinger Equation, which describes the properties of the physical system. This equation describes how protons and neutrons are confined inside a nucleus by the Strong Nuclear Force. This project will allow the development of sophisticated computer algorithms and programs in a parallel environment to solve the Schroedinger Equation for Helium-6 and Lithium-6 nuclei. These are each light nuclei consisting of six nucleons. The PI will mentor undergraduate STEM students at the Central State University (CSU), a historically black college. The students will gain practical skills in parallel programming and high-performance computing, while gaining confidence in using computational physics to study the structure of atomic nuclei. CSU students will learn the critical skills of computer programming and numerical methods by participating in this project, thereby increasing their qualifications for the STEM workforce or advanced degrees.The Schroedinger Equation is often solved to benchmark and develop nucleon-nucleon interaction models in nuclear physics. Although the study of a six-nucleon bound state is computationally a challenging and expensive problem, its investigation provides insights into the rich structure of nuclear interactions. The main goal of this project is the numerical solution of the Schroedinger Equation in the Faddeev-Yakubovsky form in momentum space to calculate the six-nucleon binding energy and wave function. This project aims to implement the numerical solution of six-nucleon Yakubovsky equations in a partial wave decomposition by developing the relevant parallel computer algorithms and codes. This investigation will show how the full solution of coupled Faddeev-Yakubovsky integral equations in a complete six-body treatment can probe the modern two- and three-nucleon interactions. It also provides an in-depth insight into the halo structure of He-6 and also the ground state properties of Li-6. This project has potential broader impacts beyond nuclear physics. The existence of six-body bound systems in other areas of physics, ranging from atomic physics (exploration of Efimov physics in ultracold quantum gases) to particle physics (dibaryon resonance composed of six quarks), brings a broader application of the project and its outcomes.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.