Three-quark force in p–p elastic scattering

M. A. Hassan; A. A. E. Hefny; T. N. E. Salama

doi:10.1140/epjc/s10052-018-6435-3

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2018) 78: 1029
https://doi.org/10.1140/epjc/s10052-018-6435-3

Regular Article - Theoretical Physics

Three-quark force in p–p elastic scattering

M. A. Hassan¹^*, A. A. E. Hefny² and T. N. E. Salama¹

¹ Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
² Basic Science Department, Faculty of Computer and Information Sciences, Ain Shams University, Cairo, Egypt

^* e-mail: el_hamam@sci.asu.edu.eg

Received: 5 July 2018
Accepted: 10 November 2018
Published online: 21 December 2018

Abstract

In the framework of Glauber optical limit approximation, considering the proton has an outer pion cloud of radius $\sim 0.87\;fm$ and an inner core of radius $\sim 0.44\;fm$ where the valence three quarks are confined, and including two-gluon exchange three-quark force, a good fit with the experimental data of p–p elastic scattering differential cross section up to $q^{2}\approx 3\;({\mathrm{GeV}/\mathrm{c})}^{\mathrm {2}}$ , total cross section and the ratio of real to imaginary parts of elastic scattering amplitude in the forward direction is obtained at laboratory momenta 200, 290, 500, 1070 and 1500 GeV/c. The radii of two-quark interaction $$r_t$$ and three-quark force $r_{th}$ are calculated. The quant energy representing the gluon $$E_g$$ is evaluated.