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.

8 pages, 1 figure

References in corpus (6)

• The RMS Charge Radius of the Proton and Zemach Moments
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Electromagnetic form factors of the nucleon: new fit and analysis of uncertainties
• Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
• QED is not endangered by the proton's size
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Cited by in corpus (8)

• Model independent extraction of the proton magnetic radius from electron scattering
• Hyperfine structure of S-states in muonic deuterium
• Lamb shift 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
• The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms