[Jlab-seminars] Theory Seminar

[Mary Fox]

Theory Center Seminar
Wed., Sept. 9, 2015
CEBAF Center, Room L102
2:00-3:00 p.m. (coffee at 1:45 p.m.)

Stanislaw Glazek
University of Warsaw

*Proton Radius Puzzle in Hamiltonian Dynamics*

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 [1], 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% [2]. 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 [3]. 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 [4,5] and in the interpretation of AdS/QFT duality in terms
of the Ehrenfest theorem [6,7].

[1] E.g., see Harmonic oscillator force between heavy quarks,
    S. D. Glazek, Phys. Rev. D69, 065002 (2004).

[2] Muonic hydrogen and the proton radius puzzle, R. Pohl et al.,
    Ann. Rev. Nucl. Part. Sci. 63, 175 (2013).

[3] Calculation of size for bound-state constituents, S. D. Glazek,
    Phys. Rev. D90, 045020, 26p (2014).

[4] Hadronic spectrum of a holographic dual of QCD, G. F. de Teramond, S. J. Brodsky,
    Phys. Rev.Lett. 94, 201601 (2005).

[5] Reinterpretation of gluon condensate in dynamics of hadronic constituents,
    S. D. Glazek, Acta Phys. Pol. B 42, 1933 (2011).

[6] Model of the AdS/QFT duality, S. D. Glazek, A. P. Trawinski,
    Phys. Rev. D 88, 105025 (2013).

[7] Effective confining potentials for QCD, A. P. Trawinski, S. D. Glazek, S. J. Brodsky,
    G. F. de TÃf©ramond, H. G. Dosch, Phys. Rev. D 90,  074017 (2014).

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