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    [Particles and Gravity]
    Proton Internal Pressure Distribution Suggests a Simple Proton Structure
    Proton Internal Pressure Distribution Suggests a Simple Proton Structure
    Dimitrios Grigoriou1; Eftychia Martino2; Constantinos Vayenas1;
    1UNIVERSITY OF PATRAS, Patras, Greece; 2UNIVERSITY OF PATRAS, DEPT. OF CHEMICAL ENGINEERING, Patras, Achaia, Greece;
    PAPER: 89/Physical/Regular (Oral)
    SCHEDULED: 12:10/Sat. 26 Oct. 2019/Aphrodite B (100/Gr. F)



    ABSTRACT:
    Understanding the origin of quark confinement in hadrons remains one of the most challenging problems in modern physics. Recently, the pressure distribution inside the proton was measured via deeply virtual Compton scattering. Surprisingly, strong repulsive pressure up to 10<sup>35</sup> pascals, the highest so far measured in our universe, was obtained near the center of the proton up to 0.6 fm, combined with strong binding energy at larger distances. We show here that this profile can be derived semi-quantitatively without any adjustable parameters using the rotating lepton model of composite particles (RLM), i.e. a proton structure comprising a ring of three gravitationally attracting rotating ultrarelativistic quarks. The RLM synthesizes Newton's gravitational law, Einstein's special relativity, and de Broglie's wavelength expression, thereby conforming to quantum mechanics. This also yields a simple analytical formula for the proton radius and for the maximum measured pressure which are in excellent agreement with the experimental values.

    References:
    1. V.D. Burkert, L. Elouadrhiri & F.X. Girod, <i> Nature</i>,<b> 557</b>, 396 (2018).
    2. C.G. Vayenas, S. Souentie Gravity, special relativity and the strong force: A Bohr-Einstein-de-Broglie model for the formation of hadrons. (Springer, New York, 2012).
    3. C.G. Vayenas, S. Souentie, & A. Fokas, Physica A, <b>405</b>, 360 (2014).