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 Schrödinger 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 % difference between the proton radii in muon–proton and electron–proton bound states.
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Głazek, S.D. Proton Radius Puzzle in Hamiltonian Dynamics. Few-Body Syst 56, 311–317 (2015). https://doi.org/10.1007/s00601-014-0919-y
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DOI: https://doi.org/10.1007/s00601-014-0919-y