Abstract
The calculation of hadronic polarizability contribution of the nucleus to hyperfine structure of muonic hydrogen and helium is carried out within the unitary isobar model and experimental data on the polarized structure functions of deep inelastic lepton-proton and lepton-deuteron scattering. The calculation of virtual absorption cross sections of transversely and longitudinally polarized photons by nucleons in the resonance region is performed in the framework of the program MAID.
Highlights
Precise investigation of the Lamb shift and hyperfine structure of light muonic atoms is a fundamental problem for testing the Standard model and establishing the exact values of its parameters, as well as searching for effects of new physics
F=1 1/2 a more accurate value of the proton charge radius was found to be rE = 0.84087(39) fm, which is different from the value recommended by CODATA for 7σ [5]
The CODATA value is based on the spectroscopy of the electronic hydrogen atom and on electron-nucleon scattering
Summary
Precise investigation of the Lamb shift and hyperfine structure of light muonic atoms is a fundamental problem for testing the Standard model and establishing the exact values of its parameters, as well as searching for effects of new physics. In the experiments of the CREMA collaboration one very important task is solved: to obtain an order of magnitude more accurate values of the charge radii of the simplest nuclei (proton, deuteron, helion, alpha particle ....) that enter into one form or another into theoretical expressions for intervals of fine or hyperfine structure of the spectrum. In this case, high sensitivity of characteristics of the bound muon to distribution of charge density and magnetic moment of the nucleus is used. We perform a calculation of hadronic polarizability contribution using the isobar model describing the processes of photo- and electroproduction of π, η mesons, nucleon resonances on the nucleon in the resonance region, and experimental data on the nucleon and deuteron polarized structure functions obtained in non-resonance region
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