Proton radius puzzle in Hamiltonian dynamics

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.

arXiv comment7 pages, latex, FBS style

References in corpus (13)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Complete Tenth-Order QED Contribution to the Muon g-2
• High-precision determination of the electric and magnetic form factors of the proton
• Muonic hydrogen and the proton radius puzzle
• Nonperturbative Light-Front QCD
• Dispersion analysis of the nucleon form factors including meson continua
• Proton structure effects in muonic hydrogen
• Higher-order effective Hamiltonian for light atomic systems
• Sixth-Order Vacuum-Polarization Contribution to the Lamb Shift of the Muonic Hydrogen
• Harmonic oscillator force between heavy quarks
• The Lamb Shift in a Light Front Hamiltonian Approach
• Boost-Invariant Running Couplings in Effective Hamiltonians
• Calculation of size for bound-state constituents