Skip to main content

Radius of Proton at Center-of-Mass Energy 13 TeV

Abstract

The differential cross-section distribution at center of mass energy \(\sqrt s = 13~\,\,{\text{TeV}}\) at \(~pp\) scattering by TOTEM at LHC is fitted to the linear and quadratic exponential function in the small \(~\left| t \right|\) range of \(~0.04 < \left| t \right| < 0.2\,\,~{\text{Ge}}{{{\text{V}}}^{2}}\). Radius of proton is calculated by Form Factor of proton using Pristine Chou–Yang Model with slope parameter\(~B = 20.39~{{({\text{GeV}})}^{{ - 2}}}\) and found to be invariant due to the non-exponential behavior of diffraction cone at small \(\left| t \right| \approx 0\) or presence of the pion cloud around the nucleon structure.

This is a preview of subscription content, access via your institution.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

REFERENCES

  1. T. T. Chou and C. N. Yang, “Model of high-energy elastic scattering and diffractive excitation processes in hadron-hadron collisions,” Phys. Rev. 175, 1832 (1968).

    ADS  Article  Google Scholar 

  2. S. Y. Lo, Geometrical Pictures in Hadronic Collisions (World Scientific, Singapore, 1987).

    Book  Google Scholar 

  3. A. Breakstone, R. Campanini, H. B. Crawley, G. M. Dallavalle, M. M. Deninno, K. Doroba, et al., “A measurement of pp and pp elastic scattering at ISR energies,” Nucl. Phys. B 248, 253–260 (1984).

    ADS  Article  Google Scholar 

  4. T. T. Chou, “Radii of the pions and the kaons,” Phys. Rev. D 19, 3327 (1979).

    ADS  Article  Google Scholar 

  5. S. Zahra and H. Rashid, “Predictions of the Chou-Yang model for pp scattering at 8 TeV,” Chin. Phys. Lett. 36, 061201 (2019).

    ADS  Article  Google Scholar 

  6. M. Saleem and M. Rafique, “Chou–Yang model and Φ form factor,” Europhys. Lett. 5, 401–405 (1988).

    ADS  Article  Google Scholar 

  7. C. Bourrely, P. Chiappetta, J. Soffer, and T. T. Wu, “High-energy pion-proton elastic scattering and the pion form factor,” Phys. Lett. B 132, 191–194 (1983).

    ADS  Article  Google Scholar 

  8. C. H. Lai, S. Y. Lo, and K. K. Phua, “Determination of the pion form factor at large momentum transfer squared,” Phys. Lett. B 122, 177–180 (1983).

    ADS  Article  Google Scholar 

  9. I. I. Murphy, Y. M. Shin, and D. M. Skopik, “Proton form factor from 0.15 to 0.79 fm-2,” Phys. Rev. C 9, 2125 (1974).

    ADS  Article  Google Scholar 

  10. J. C. Bernauer, M. O. Distler, J. Friedrich, T. Walcher, P. Achenbach, C. A. Gayoso, et al., and A1 Collab., “Electric and magnetic form factors of the proton,” Phys. Rev. C 90, 015206 (2014).

    ADS  Article  Google Scholar 

  11. R. Pohl, A. Antognini, F. Nez, F. D. Amaro, F. Biraben, J. M. Cardoso, et al., “The size of the proton,” Nature (London, U.K.) 466 (7303), 213–216 (2010).

    ADS  Article  Google Scholar 

  12. L. Jenkovszky, I. Szanyi, and C. I. Tan, “Shape of proton and the pion cloud,” Eur. Phys. J. A 54 (7), 1–8 (2018).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Asad Ali.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Asad Ali, Sarwat Zahra Radius of Proton at Center-of-Mass Energy 13 TeV. Phys. Part. Nuclei Lett. 19, 343–346 (2022). https://doi.org/10.1134/S1547477122040070

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477122040070

Keywords:

  • elastic scattering
  • Chou–Yang model
  • form factor
  • opaqueness