Physics – Atomic Physics
Scientific paper
2011-04-15
Phys. Rev. A84:012506,2011
Physics
Atomic Physics
11 pages, 1 figure. v2: Enhanced introduction and minor change to concluding numerical value (interpretation unchanged). v3: M
Scientific paper
10.1103/PhysRevA.84.012506
We investigate the muonic hydrogen 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition through a precise, non-perturbative numerical solution of the Dirac equation including the finite-size Coulomb force and finite size vacuum polarization. The results are compared with earlier perturbative calculations of (primarily) Borie, Martynenko, and Pachucki; and experimental results recently presented by Pohl et al., in which this very comparison is interpreted as requiring a modification of the proton charge radius from that obtained in electron scattering and electronic hydrogen analyses. We find no significant discrepancy between the perturbative and non-perturbative calculations, and present our results as confirmation of the perturbative methods.
Carroll Jonathan D.
Miller Gary A.
Rafelski Johann
Thomas Anthony W.
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