Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen

Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine structure of S-wave energy levels in muonic hydrogen and muonic deuterium. For the construction of the particle interaction operator we employ the projection operators on the particle bound states with definite spins. The calculation is performed in the infrared safe Fried-Yennie gauge. Modern experimental data on the electromagnetic form factors of the proton and deuteron are used.

arXiv comment8 pages, 1 figure

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Cited by in corpus (16)

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• Hyperfine structure of S-states in muonic deuterium
• Lamb shift in muonic ions of lithium, beryllium and boron
• Theory of the n=2 levels in muonic helium-3 ions
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Hyperfine structure of P-states in muonic deuterium
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Status of the detector setup for the FAMU experiment at RIKEN-RAL for a precision measurement of the Zemach radius of the proton in muonic hydrogen
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Ground state hyperfine structure in muonic lithium ions
• The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms