Collaborative Research: New Directions in Atomic PNC

在相对论多体理论的框架内，发展了新的理论方法来处理重原子中的宇称不守恒（PNC）。本研究的目的是提高实验感兴趣的原子和离子的PNC振幅的精度。减少PNC计算中的误差导致更准确的实验弱电荷QW，依赖于原子理论的数量，反过来又提供了标准电弱模型的有价值的测试。核自旋相关PNC振幅的精确计算提供了从PNC实验中提取精确的Anapole矩所需的数据。为了改进PNC矩阵元的计算，本文发展了一种消除截断误差的间接方法，对中间态进行求和。这种方法导致了大量的非齐次线性方程组，类似于该小组早期开发的单双（SD）方程。

New theoretical methods are developed, within the framework of relativistic many-bodytheory, to treat parity nonconservation (PNC) in heavy atoms. The goal of this research is toimprove the accuracy of PNC amplitudes in atoms and ions of experimental interest. Reducingthe error in PNC calculations leads to more accurate experimental weak charges QW, quantitiesthat depend on atomic theory and in turn provide valuable tests of the standard electroweakmodel. Precise calculations of the nuclear spin-dependent PNC amplitudes provide data neededto extract accurate anapole moments from PNC experiments. These in turn shed light oninconsistencies between constraints on weak nucleon-nucleon coupling constants obtained fromthe experimental anapole moment of cesium and those obtained from other nuclear PNCmeasurements.To improve calculations of PNC matrix elements, an indirect method that eliminates truncationerrors is developed to perform sums over intermediate states. This method leads to alarge set of inhomogeneous linear equations, similar to the singles-doubles (SD) equations developed earlier by this group.