Related Experiment Video
Updated: Aug 12, 2025

Measurement and Analysis of Atomic Hydrogen and Diatomic Molecular AlO, C2, CN, and TiO Spectra Following Laser-induced Optical Breakdown
Published on: February 14, 2014
Recoil Corrections to the Energy Levels of Hydrogenic Atoms
Gregory S Adkins1, Jonathan Gomprecht1, Yanxi Li1
1Franklin & Marshall College, Lancaster, Pennsylvania 17604, USA.
Abstract:
We have completed the calculation of pure-recoil corrections of order (Zα)^{6} to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such as muonium and positronium, as well as hydrogen and muonic hydrogen (with the neglect of proton structure effects). We have shown how the two-loop master integrals that occur in the relativistic region can be computed in analytic form and suggest that the same method can be applied to the three-loop integrals that would be present in a calculation of order (Zα)^{7} corrections.
More Related Videos
14:11Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis
Published on: March 29, 2016
06:46Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic
Published on: August 25, 2016
Related Concept Videos
Emission Spectra
The Bohr Model
The Energies of Atomic Orbitals
Atomic Radii and Effective Nuclear Charge
Hess's Law
The Quantum-Mechanical Model of an Atom