Gravitational tensor-monopole moment of the hydrogen atom to order O ( α )

Ji, Xiangdong; Yang, Jinghong; Liu, Yizhuang

doi:10.1103/PhysRevD.110.114045

Gravitational tensor-monopole moment of the hydrogen atom to order $O (α)$

Journal Article · Mon Dec 30 00:00:00 EST 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.114045· OSTI ID:2484074

Ji, Xiangdong; Yang, Jinghong;

We calculate the gravitational tensor-monopole moment of the momentum-current density $T^{i j}$ in the ground state of the hydrogen atom to order $O (α)$ in quantum electrodynamics (QED). The result is $τ_{H} / τ_{0} - 1 = \frac{4 α}{3 π} (\ln α^{2} - 0.028) = - 3.06 \times 10^{- 2}$ where $τ_{0} = ℏ^{2} / 4 m_{e}$ 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.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0020682

OSTI ID:: 2484074

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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