Why three-body physics do not solve the proton radius puzzle
Atomic Physics
2012-12-03 v2
Abstract
The possible involvement of weakly bound three-body systems in the muonic hydrogen spectroscopy experiment [1], which could resolve the current discrepancy between determinations of the proton radius, is investigated. Using variational calculations with complex coordinate rotation, it is shown that the ion, which was recently proposed as a possible candidate [2], has no resonant states in the energy region of interest. QED level shifts are included phenomenologically by including a Yukawa potential in the three-body Coulomb Hamiltonian before diagonalization. It is also shown that the molecular ion cannot play any role in the observed line.
Cite
@article{arxiv.1205.0633,
title = {Why three-body physics do not solve the proton radius puzzle},
author = {Jean-Philippe Karr and Laurent Hilico},
journal= {arXiv preprint arXiv:1205.0633},
year = {2012}
}