Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems

Abstract

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb the self-energy. Here, we show that combined self-energy vacuum-polarization effects can perturb the bound-state self-energy at the percent level in one-muon bound systems with nuclear charges Z = 1-6. We also update previous treatments of the corrections for muonic hydrogen, muonic deuterium, and muonic helium bound systems.

arXiv comment11 pages; RevTeX

References in corpus (17)

• Theory of Light Hydrogenlike Atoms
• Lamb Shift in Light Muonic Atoms - Revisited
• Higher-order binding corrections to the Lamb shift of 2P states
• Lamb Shift in Muonic Hydrogen. I. Verification and Update of Theoretical Predictions
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• Comprehensive theory of the Lamb shift in light muonic atoms
• Lamb shift in muonic deuterium atom
• The next generation of laser spectroscopy experiments using light muonic atoms
• The ${\alpha }^2(Z\alpha {)}^{4}m$ contributions to the Lamb shift and the fine structure in light muonic atoms
• Lamb shift in muonic ions of lithium, beryllium and boron
• Semi-Analytic Approach to Higher-Order Corrections in Simple Muonic Bound Systems: Vacuum Polarization, Self-Energy and Radiative-Recoil
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Muonic bound systems, virtual particles and proton radius
• Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems
• MMC Array to Study X-ray Transitions in Muonic Atoms
• Relativistic and Recoil Corrections to Vacuum polarization in muonic systems: Three--photon exchange, gauge invariance and numerical values
• Energy interval 3S-1S in muonic hydrogen

Cited by in corpus (1)

• Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems