Theory of muonic hydrogen - muonic deuterium isotope shift

Abstract

We calculate the corrections of orders alpha^3, alpha^4 and alpha^5 to the Lamb shift of the 1S and 2S energy levels of muonic hydrogen (mu p) and muonic deuterium (mu d). The nuclear structure effects are taken into account in terms of the proton r_p and deuteron r_d charge radii for the one-photon interaction and by means of the proton and deuteron electromagnetic form factors in the case of one-loop amplitudes. The obtained numerical value of the isotope shift (mu d) - (mu p) for the splitting (1S-2S) 101003.3495 meV can be considered as a reliable estimation for corresponding experiment with the accuracy 10^{-6}. The fine structure interval E(1S)-8E(2S) in muonic hydrogen and muonic deuterium are calculated.

22 pages, 7 figures

References in corpus (1)

• 2S Hyperfine splitting of muonic hydrogen

Cited by in corpus (19)

• Nuclear structure corrections in muonic deuterium
• Lamb shift in muonic deuterium atom
• Lamb shift in muonic helium ion
• Hyperfine structure of S-states in muonic deuterium
• Proton radius puzzle and quantum gravity at the Fermi scale
• 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
• Ground State Hyperfine Structure of Muonic Helium Atom
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Hyperfine structure of P-states in muonic deuterium
• 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 the ground state muonic He-3 atom
• Hyperfine structure of excited state of muonic helium atom
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Muonic hydrogen as a quantum gravimeter
• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• Energy interval 3S-1S in muonic hydrogen
• Ground state hyperfine structure in muonic lithium ions