Nuclear Particle Astrophysics (NPA) Seminar (note special day), Stanislaw D. Glazek, University of Warsaw, Poland, “Proton radius puzzle in Hamiltonian dynamics”
WLC 108
When lepton-proton bound-state eigenvalue equations are derived from a local quantum field theory using second-order renormalization group procedure for effective particles (RGPEP) a la QCD for heavy quarkonia, the resulting non-perturbative corrections to the Schroedinger equation appear relevant to our understanding of the proton radius puzzle. The puzzle can be described as a conclusion that the proton radius in muon-proton bound states is smaller than in the electron-proton bound states by about 4%. The RGPEP indicates instead that the radii ought to be discussed taking into account the scale difference between the effective theories required for handling different bound-states using the same Schroedinger equation. Even more intriguing, the effective non-relativistic Schroedinger dynamics for lepton-proton atoms turns out to be operating in these very low-energy systems with the same type of momentum variables that also naturally appear in the light-front holography for quark-antiquark states and in the interpretation of AdS/QFT duality in terms of the Ehrenfest theorem.