Atomic Many-Body Theory with Applications

研究重点是发展新一代高精度的单价原子多体相对论理论方法。提出了一种新的多体微扰理论全阶部分求和格式。这种从头开始的求和方案将提高最近推导和计算的1648个四阶图计算的准确性和收敛性。其次，将价态三重激励和断开的四重激励合并到耦合簇方程的层次中。发展多体形式的长期目标是提高原子宇称违反振幅的计算精度。这些振幅对于揭示超出基本粒子标准模型的可能的新物理非常重要。讨论了该方法在超稳定光钟设计中的应用。

The research centers on the development of next-generation high-precision methods of many-body relativistic theory for univalent atoms. A new partial summation scheme to all-orders of many-body perturbation theory will be implemented. This ab initio summation scheme will improve accuracy and convergence of a recently derived and computed 1,648 fourth-order diagram calculation. Second, an incorporation of valence triple and disconnected quadruple excitations into a hierarchy of coupled-cluster equations is proposed.The development of many-body formalisms has a long-term goal of improving accuracyof calculations of atomic parity-violating amplitudes. These amplitudes are important forrevealing possible new physics beyond the Standard Model of elementary particles. Applications to the design of ultrastable optical clocks is also discussed.