Collaborative Research: Advancing first-principle symmetry-guided nuclear modeling for studies of nucleosynthesis and fundamental symmetries in nature

了解强子物质的起源、结构和相是理解宇宙演化的关键。为了完全实现这一点，我们需要对原子核的复杂动力学进行建模。建模这种复杂的量子多体系统所固有的计算挑战的规模使得利用千万亿级资源（如Blue Waters）至关重要。该项目的目标是利用Blue Waters系统通过中质量原子核推进大规模的光建模，并首次通过中质量原子核，包括尚未进行实验的短寿命同位素，但这是突破基础和应用研究中开放性问题的关键，也是下一代放射性束流设施的重点。具体来说，该项目将使用一种创新的方法，即适应对称的无核壳模型（SA-NCSM），该模型利用原子核的精确和近似对称性来解决通过现实核力相互作用的粒子系统的非相对论薛定谔方程。所提出的计算将提供空前精确的核波函数，这对于进一步了解自然界的基本对称性至关重要，对于从大型数据集中提取信息至关重要，这些信息对于中微子物理学、探索超出标准模型的物理以及天体物理过程建模至关重要。此外，该项目还将培养和教育研究生和博士后研究人员，利用大规模计算资源进行核结构建模，以解决物理学和相关领域的重要问题。学生将获得并进一步提高他们在高性能计算物理软件开发方面的技能，为他们在科学和技术领域的职业生涯奠定基础。此外，该项目将提供软件和数据的开放访问，包括前所未有的精度和范围的核结构信息，只有在与Blue Waters计算能力相结合时才有可能成为一个公开可用的数据库。

Understanding the origin, structure, and phases of hadronic matter is key to comprehending the evolution of the universe. To fully achieve this, we need to model the complex dynamics of atomic nuclei. The scale of computational challenges that are inherent to modeling such intricate quantum many-body systems makes the utilization of petascale level resources, like Blue Waters, essential. The objective of this project is to use the Blue Waters system to advance large-scale modeling of light through intermediate-mass nuclei and, for the first time, medium-mass nuclei, including short-lived isotopes not yet accessible to experiment but key to breakthrough solutions to open questions in basic and applied research, as well as the focus of next-generation radioactive beam facilities. Specifically, the project will use an innovative approach, the symmetry-adapted no-core shell model (SA-NCSM), which employs exact as well as approximate symmetries of nuclei to solve the nonrelativistic Schrodinger equation for a system of particles interacting via realistic nuclear forces. The proposed calculations will provide nuclear wave functions of unprecedented accuracy that are crucial for gaining further knowledge of fundamental symmetries in nature, as well as on extracting information from large datasets that is essential for neutrino physics, for probing physics beyond the standard model, and modeling of astrophysical processes. In addition, the project will train and educate graduate students and postdoctoral researchers in nuclear structure modeling using large-scale computational resources to address important problems in physics and related fields. The students will acquire and further their skills in the development of high performance computational physics software, laying the foundations for their careers in science and technology. Moreover, the project will provide open access to software and data, including nuclear structure information of unprecedented accuracy and scope -- only possible when coupled with the Blue Waters computational capabilities -- as a publicly available database.