Weak Interactions in Atomic Physics

我们将研究中性Z粒子在原子核和电子之间的交换引起的重原子宇称非守恒跃迁幅度的精确理论值。这将允许从原子物理实验中确定温伯格角。振幅是用相对论版本的多体微扰理论计算的。评估高阶效应所需的多个状态求和通常与偏微分方程解一起使用有限基集技术来执行。在能量、跃迁振幅和超精细常数精确到1%的情况下，宇称非守恒振幅也可以得到，误差在1%的水平上。

Precise theoretical values for the amplitudes of parity non-conserving transitions in heavy atoms induced by exchange of neutral Z particles between the nucleus and electrons will be studied. This will permit a determination of the Weinberg angle from atomic physics experiments. The amplitudes are calculated using a relativistic version of many-body perturbation theory. The multiple sum over states needed in evaluating higher order effects are performed using finite basis set techniques often in conjunction with the solution of partial differential equations. With energies, transition amplitudes and hyperfine constants accurate to 1% the parity non-conserving amplitudes can also be obtained with errors at the 1% level.