Collaborative Research: New Directions in Atomic PNC

在相对论多体理论的框架下，提出了新的理论方法来处理重原子中的宇称不守恒问题。本研究的目的是提高实验感兴趣的原子和离子中PNC振幅的准确性。减少PNC计算中的误差导致更准确的实验弱电荷QW，依赖于原子理论的量，反过来为标准电弱模型提供有价值的测试。核自旋相关的PNC振幅的精确计算提供了从PNC实验中提取准确的拟极点矩所需的数据。这反过来又揭示了从铯的实验拟极矩得到的弱核子-核子耦合常数约束与从其他核pnc测量得到的约束之间的不一致性。为了改进PNC矩阵元素的计算，提出了一种消除截断误差的间接方法来对中间状态进行求和。这种方法导致了大量的非齐次线性方程，类似于该小组早先开发的单-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.