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arXiv · 2208.05029

Gravitational Tensor-Monopole Moment of Hydrogen Atom To Order ${\cal O}(\alpha)$

Xiangdong Ji·Yizhuang Liu
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Abstract

We calculate the gravitational tensor-monopole moment of the momentum-current density $T^{ij}$ in the ground state of the hydrogen atom to order ${\cal O}(\alpha)$ in quantum electrodynamics (QED). The result is \begin{align} \tau_H/\tau_0 - 1 = \frac{4\alpha}{3\pi}\left(\ln\alpha^2-0.028\right) \nonumber \end{align} where $\tau_0= \hbar^2/4m_e$ is the leading-order moment. The physics of the next-to-leading-order correction is similar to that of the famous Lamb shift for energy levels.

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Xiangdong Ji, Yizhuang Liu. 2022-08-09. Gravitational Tensor-Monopole Moment of Hydrogen Atom To Order ${\cal O}(\alpha)$. https://arxiv.org/abs/2208.05029

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