{"title":"Energy-momentum Tensor of a Hydrogen Atom: Stability, \\(D\\)-term, and the Lamb Shift","authors":"A. Czarnecki, Y. Liu, S.N. Reza","doi":"10.5506/aphyspolbsupp.16.7-a19","DOIUrl":null,"url":null,"abstract":"We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the $\\mathcal{\\alpha}$ correction to the $D$-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.","PeriodicalId":39158,"journal":{"name":"Acta Physica Polonica B, Proceedings Supplement","volume":"82 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B, Proceedings Supplement","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5506/aphyspolbsupp.16.7-a19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the $\mathcal{\alpha}$ correction to the $D$-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.
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