Higher-order corrections for the dynamic hyperfine structure of muonic atoms

Abstract

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic atoms is presented. For this, a multipole expansion of the Uehling potential is performed. The approach is applicable for an arbitrary nuclear electric charge distribution. By performing these calculations for muonic Rhenium and Uranium using a deformed Fermi distribution, it is shown that both corrections contribute on a level presumably visible in upcoming experiments.

arXiv comment8 pages, 3 Tables, 1 Figure

References in corpus (11)

• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Theory of Light Hydrogenlike Atoms
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Proton structure effects in muonic hydrogen
• Lamb Shift in Light Muonic Atoms - Revisited
• Nuclear deformation effect on the binding energies in heavy ions
• Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure
• Relativistic Reduced-Mass and Recoil Corrections to Vacuum Polarization in Muonic Hydrogen, Muonic Deuterium and Muonic Helium Ions
• Relativistic recoil corrections to the electron-vacuum-polarization contribution in light muonic atoms
• Non-Perturbative Relativistic Calculation of the Muonic Hydrogen Spectrum
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms

Cited by in corpus (4)

• The measurement of the quadrupole moment of 185-Re and 187-Re from the hyperfine structure of muonic X rays
• Ground-state $g$ factor of highly charged ${}^{229}$Th ions: an access to the M1 transition probability between the isomeric and ground nuclear states
• Influence of a Perfectly Conducting Plate on the Uehling Potential of QED
• Reference Quadrupole Moments of Transition Elements from Lamb Shifts in Muonic Atoms