Non-Perturbative Relativistic Calculation of the Muonic Hydrogen Spectrum
Abstract
We investigate the muonic hydrogen 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition through a precise, non-perturbative numerical solution of the Dirac equation including the finite-size Coulomb force and finite size vacuum polarization. The results are compared with earlier perturbative calculations of (primarily) Borie, Martynenko, and Pachucki; and experimental results recently presented by Pohl et al., in which this very comparison is interpreted as requiring a modification of the proton charge radius from that obtained in electron scattering and electronic hydrogen analyses. We find no significant discrepancy between the perturbative and non-perturbative calculations, and present our results as confirmation of the perturbative methods.
Keywords
Cite
@article{arxiv.1104.2971,
title = {Non-Perturbative Relativistic Calculation of the Muonic Hydrogen Spectrum},
author = {J. D. Carroll and A. W. Thomas and J. Rafelski and G. A. Miller},
journal= {arXiv preprint arXiv:1104.2971},
year = {2015}
}
Comments
11 pages, 1 figure. v2: Enhanced introduction and minor change to concluding numerical value (interpretation unchanged). v3: Minor changes, matches version published in Phys. Rev. A