Measurability of pressure inside the proton


Additional access options:

The experimental data used in this work are publicly available at A Fourier transformed version of these data is available at

The code used for the analysis is available at This code is to be used together with the neural network software package PyBrain13 and the software implementation of formulas for DVCS cross-sections by Belitsky et al.14.

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.


  1. 2.

    Kumerički, K. & Müller, D. Deeply virtual Compton scattering at small xB and the access to the GPD H. Nucl. Phys. B 841, 1-58 (2010).

  2. t

  3. 3.

    Polyakov, M. V. Generalized parton distributions and strong forces inside nucleons and nuclei. Phys. Lett. B 555, 57-62 (2003).

  4. t

  5. 4.

    Polyakov, M. V. & Weiss, C. Skewed and double distributions in pion and nucleon. Phys. Rev. D 60, 114017 (1999).

  6. t

  7. 5.

    Teryaev, O. V. Analytic properties of hard exclusive amplitudes. Preprint at (2005).

  8. t

  9. 6.

    Polyakov, M. V. & Son, H.-D. Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems. J. High Energ. Phys. 2018, 156 (2018).

  10. t

  11. 9.

    Kumerički, K., Müller, D. & Schäfer, A. Neural network generated parametrizations of deeply virtual Compton form factors. J. High Energ. Phys. 2011, 073 (2011).

  12. t

  13. 12.

    Dupré, R., Guidal, M., Niccolai, S. & Vanderhaeghen, M. Analysis of deeply virtual Compton scattering data at Jefferson Lab and proton tomography. Eur. Phys. J. A 53, 171 (2017).

  14. t

  15. 13.

    Schaul, T. et al. PYBRAIN. J. Mach. Learn. Res. 11, 743-746 (2010).

  16. t

  17. 14.

    Belitsky, A. V., Müller, D. & Ji, Y. Compton scattering: from deeply virtual to quasi-real. Nucl. Phys. B 878, 214-268 (2014).

Download references

I thank V. D. Burkert, F. X. Girod, D. Müller, M. Polyakov and P. Schweitzer for discussions. This work is supported by the Croatian Science Foundation under project number 8799 and by the QuantiXLie Center of Excellence through grant KK.


    Department of Physics, Faculty of Science, University of Zagreb, Zagreb, Croatia


    Search for Krešimir Kumerički in:

Competing interests

The author declares no competing interests.

Corresponding author

Correspondence to Krešimir Kumerički.