Non-perturbative Analysis of the Influence of the Proton Magnetization and Charge Densities on the Hyperfine Splitting of Muonic Hydrogen

2011/08/30 by J. D. Carroll, Carroll, J. D., A. W. Thomas +5
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-ph #nucl-th #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.1108.5785

6 pages, 1 figure

arxiv created 2011/08/30 · arxiv updated 2011/08/31

Abstract

We investigate the influence of the spatial extent of the proton magnetization and charge densities on the 2S hyperfine splitting in muonic hydrogen. The use of a non-perturbative relativistic Dirac approach leads to corrections of 15% to values obtained from the perturbative treatment encapsulated by the Zemach radius, which surpass the next-leading order contribution in the perturbation series by an order of magnitude.

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