Sixth-Order Vacuum-Polarization Contribution to the Lamb Shift of the Muonic Hydrogen

Details Sixth-Order Vacuum-Polarization Contribution to the Lamb Shift of the Muonic Hydrogen Sixth-Order Vacuum-Polarization Contribution to the Lamb Shift of the Muonic Hydrogen

1998-12-21

arxiv.org/abs/hep-ph/9812442v3

Phys.Rev.Lett.82:3240,1999; Erratum-ibid.Lett.103:079901,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 5 figures the totoal LS number is changed

Scientific paper

10.1103/PhysRevLett.82.3240

The sixth-order electron-loop vacuum-polarization contribution to the $2P_{1/2} - 2S_{1/2}$ Lamb shift of the muonic hydrogen ($\mu^{-} p^+$ bound state) has been evaluated numerically. Our result is 0.007608(1) meV. This eliminates the largest uncertainty in the theoretical calculation. Combined with the proposed precision measurement of the Lamb shift it will lead to a very precise determination of the proton charge radius.

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