Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
Abstract
In this paper, we use the latest results of the ultra-high accuracy 1S-2S transition experiments in hydrogen atom to constrain the forms of the deformed dispersion relation in the nonrelativistic limit. For the leading correction of the nonrelativistic limit, the experiment sets a limit at an order of magnitude for the desired Planck-scale level, thereby providing another example of the Planck-scale sensitivity in the study of the dispersion relation in controlled laboratory experiments. And for the next-to-leading term, bound has two orders of magnitude away from the Planck scale, but it still amounts to the best limit, in contrast to previously obtained bound in the nonrelativistic limit from the cold-atom-recoil experiments.
Keywords
Cite
@article{arxiv.1904.11336,
title = {Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition},
author = {Jin Pu and Guo-Ping Li and Qing-Quan Jiang and Xiao-Tao Zu},
journal= {arXiv preprint arXiv:1904.11336},
year = {2019}
}
Comments
16 pages, to be published in Chinese Physics C