Nonperturbative numerical calculation of the fine and hyperfine structure of muonic hydrogen by Breit potential including the effects from the proton size

2015/04/27 by Hou-Rong Pang, Pang, Hou-Rong, Hai-Qing Zhou +1
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.1504.06940

2 figures

arxiv created 2015/06/02 · arxiv updated 2015/06/03

Abstract

By solving the two-body Schordinger equation in a very high precise nonperturbative numerical (NPnum) way, we reexamine the contributions of fine, hyperfine structure splittings of muonic hydrogen based on the Breit potential. The comparison of our results with those by the first order perturbative theory (^1stPT) in the literature shows, when the structure of proton is considered, the differences between the results by the ^1stPT and NPnum methods are small for the fine and hyperfine splitting of 2P state, while are about -0.009 meV and 0.08 meV for the F=1 and total hyperfine splitting of 2S state of muonic hydrogen, respectively. These differences are larger than the current experimental precision and would be significant to be considered in the theoretical calculation.

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