Why three-body physics do not solve the proton radius puzzle - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2012

Why three-body physics do not solve the proton radius puzzle

Résumé

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 $p\mu e$ 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 $pp\mu$ molecular ion cannot play any role in the observed line.
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Dates et versions

hal-00693452 , version 1 (02-05-2012)
hal-00693452 , version 2 (24-05-2012)

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Jean-Philippe Karr, Laurent Hilico. Why three-body physics do not solve the proton radius puzzle. 2012. ⟨hal-00693452v1⟩
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