CERN Accelerating science

Article
Report number CERN-TH-1354
Title A new value for the Lamb shift
Author(s) Petermann, Andreas (CERN)
Publication 1972
In: Phys. Lett. B 38 (1972) 330-2
DOI 10.1016/0370-2693(72)90258-4
Subject category Particle Physics - Phenomenology
Abstract A recent analytic value of the alpha /sup 2/ slope of the Dirac form, factor of the free electron, from the crossed ladder diagram, is added to the contributions of the fourth order diagrams already evaluated by different workers. The sum is found to be F/sub 1/(0)/sub total/=( alpha /sup 2// pi /sup 2/)(- 4819/5184-49 pi /sup 2//432+/sup 1///sub 2/ pi /sup 2/ log 2-/sup 3///sub 4/ zeta (3))=( alpha /sup 2// pi /sup 2/)(0.4699). This contributes to the Lamb shift inH: ( alpha /sup 2// pi /sup 2/) alpha /sup 2//sub 1/2/m alpha /sup 2/ 0.4699=0.444 MHz. The total Lamb shift in H is then: S/sub H/=(2S/sub 1/2/-2P/sub 1/2/) /sub H/=1057.911+or-0.011 MHz (s.d.), and the separation Delta E/sub H /-S/sub H/: (2S/sub 3/2/-2S/sub 1/2/)/sub H/ =9911.115+or-0.031 MHz (s.d.). (15 refs).

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