Abstract
The contribution from scalar meson (S) exchange to the potential of the muon-proton interaction in muonic hydrogen induced by the scalar meson coupling to the two photon state is calculated. An estimate of transition form factor S → γγ is given on the basis of the quark model and experimental data on the decay widths $${\Gamma _{S\gamma \gamma }}$$. It is shown that scalar meson exchange contribution to the Lamb shift in muonic hydrogen ∆ELs(2P – 2S) is large and important for a comparison with precise experimental data.
Highlights
Among various electromagnetic interactions, the processes of two-photon meson production take a special place
In our previous papers [6, 7] we have investigated the role of effective exchanges of axial vector and pseudoscalar mesons for the position of the energy levels in muonic hydrogen
In this study we extend our analysis to the case of scalar mesons
Summary
The processes of two-photon meson production take a special place. They have been studied experimentally for quite a long period of time, for which a rich material has been accumulated [1]. The first estimates of the contribution of effective meson exchanges in muonic hydrogen, which have already appeared, show that this contribution can be significant [2,3,4,5,6,7]. In our previous papers [6, 7] we have investigated the role of effective exchanges of axial vector and pseudoscalar mesons for the position of the energy levels in muonic hydrogen. The numerical calculation of the corresponding shifts in the fine and hyperfine structure of muonic atoms looks as an important task which can shed light on the proton charge radius puzzle
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