English

Energy-momentum tensor of a hydrogen atom: stability, D-term, and the Lamb shift

High Energy Physics - Phenomenology 2023-09-21 v1

Abstract

We clarify two issues related to the so-called DD-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the DD-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the α\mathcal{\alpha} correction to the DD-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.

Keywords

Cite

@article{arxiv.2309.10994,
  title  = {Energy-momentum tensor of a hydrogen atom: stability, D-term, and the Lamb shift},
  author = {Andrzej Czarnecki and Yizhuang Liu and Syed Navid Reza},
  journal= {arXiv preprint arXiv:2309.10994},
  year   = {2023}
}