Muonic hydrogen ground state hyperfine splitting

Abstract

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the hyperfine splitting part of the Breit potential due to the electron vacuum polarization is considered. Total numerical value of the 1S state hyperfine splitting 182.638 meV in the (mu p) can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm.

18 pages, Talk presented at the 11th Lomonosov Conference on Elementary Particle Physics, Moscow State University, August 2003

References in corpus (4)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• Leading Chiral Logarithms to the Hyperfine Splitting of the Hydrogen and Muonic Hydrogen
• Nuclear structure corrections in the energy spectra of electronic and muonic deuterium
• The Structure of Light Nuclei and Its Effect on Precise Atomic Measurements

Cited by in corpus (25)

• 2S Hyperfine splitting of muonic hydrogen
• Zemach and magnetic radius of the proton from the hyperfine splitting in hydrogen
• Lamb shift in muonic deuterium atom
• Lamb shift in muonic helium ion
• Hyperfine structure of S-states in muonic deuterium
• Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Lamb shift in muonic ions of lithium, beryllium and boron
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Hyperfine structure of P-states in muonic deuterium
• Line shape of the muH(3p - 1s) hyperfine transitions
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Fine and hyperfine structure of the muonic ^3He ion
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Hyperfine structure of the ground state muonic He-3 atom
• Line shape analysis of the K$\beta$ transition in muonic hydrogen
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen
• Ground state hyperfine structure in muonic lithium ions
• Recoil corrections to $\mu$H hyperfine splitting
• The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms