Light by light scattering contribution to Lamb shift in hydrogen

Michael I. Eides, Howard Grotch, Peter Pebler

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16 Scopus citations


A radiative correction to the Lamb shift of order α2(Zα)5m induced by the light by light scattering insertion in external photons is obtained. This new contribution turns out to be equal to -0.122(2)α2(Zα)5/(πn3)(mr/m)3m. Combining this contribution with our previous results we obtain the complete correction of order α2(Zα)5m induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1S- and 2S-states in hydrogen, respectively.

Original languageEnglish
Pages (from-to)197-206
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - Apr 28 1994

Bibliographical note

Funding Information:
We are deeply grateful to Dr. K. Pachucki for informing us about his results prior to publication. It is a pleasure for us to acknowledge the help of Dr. Shoudan Liang with numerical calculations. This work was partially fulfilled during the visit one of the authors (M.E.) to the Penn State University. He is deeply grateful to the Physics Department of the Penn State University for kind hospitality. This research was supported by the National Science Foundation under grant #NSF-PHY-9120102. P.P received support from NSF through funds provided by the site REU program at Penn State. Work of M.E. was also partially supported by the Russian Foundation for Fundamental Research under grant #93-02-3853.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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