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arXiv · 1410.5798

Proton radius puzzle in Hamiltonian dynamics

Stanislaw D. Glazek
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Abstract

Relativistic lepton-proton bound-state eigenvalue equations for Hamiltonians derived from quantum field theory using second-order renormalization group procedure for effective particles, are reducible to two-body Schroedinger eigenvalue equations with the effective Coulomb potential that exhibits a tiny sensitivity to the characteristic momentum-scale of the bound system. The scale dependence is shown to be relevant to the theoretical interpretation of precisely measured lepton-proton bound-state energy levels in terms of a 4 percent difference between the proton radii in muon-proton and electron-proton bound states.

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Stanislaw D. Glazek. 2014-10-21. Proton radius puzzle in Hamiltonian dynamics. https://doi.org/10.1007/s00601-014-0919-y

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