Short-range Correlation Effect on p?p Elastic Scattering with the Composite Model

Abstract

Using a representation of the quark distribution inside the proton, where a short-range correlation between quarks is considered, we can describe the p-p elastic scattering differential cross section with experimental agreement in the range 0 :::; q2 :::; 10 (GeV/ c)2. Evaluations of the proton core and quark radii are obtained. From our analysis, we see that the suggested configuration of quarks inside the proton can be considered as a nearly realistic distribution even with a non-relativistic wavefunction.

Three-quark force effect in proton–proton scattering at 7, 8 and 13 TeV

“…This is because the actual effects of the multi-scattering terms are in this region. This conclusion is related to many published works in the framework of complete polynomial of Glauber approximation at ISR energy [29,34,36], where, with a simple correction, the agreement with the differential cross section was obtained up to q 2 = 10 (GeV/c) 2 . Since, the first minimum and second maximum are coming from the interference of the singleand double scattering terms, we need to interpret the agreement with the data at these regions without the double scattering terms.…”

Time-ordering of quark multi-scattering processes in hadron–proton scattering at high energy

“…Also, Hassan et al [19] obtained approximately similar results to both Wakaizumi [30] and Goloskokov et al [15], taking into account quark-quark short-range correlation in proton wavefunctions. The similarity of the results of Wakaizumi [30], Goloskokov et al [15] and Hassan et al [19] is due to the fact that the Lorentz contraction of the proton (squashing) is the possible origin of the dipole formula [12]. Also, the effect of the short-range correlation and of the Lorentz contraction of protons have something common.…”

“…Also, the effect of the short-range correlation and of the Lorentz contraction of protons have something common. Both effects separate the quarks by a greater distance than in the case where effects are neglected [19]. However, taking the phase variation of quark-quark elastic scattering amplitude into account and using the modified dipole form factor of the proton, Wakaizumi [30] could not obtain a good fit with the experimental data of FNAL [18] for proton-proton elastic scattering at 200 GeV/c for q 2 > 3 (GeV/c) 2 .…”

Three-quark force in p–p elastic scattering

“…With simple Gaussian form of proton wave function, by introducing the time-ordering effect in quark-quark multi-scattering the good agreement with the proton-proton data was obtained at CERN-ISR energies [35]. Different wave functions were used in the framework of Glauber model to describe the quark distribution in the proton and obtained a good fit with the experimental data at the CERN-ISR energies [31,32]. In [32], by introducing quark-quark short rang correlations in the wave function obtained the quark radius R q ≈ 0.17 fm.…”

“…Different wave functions were used in the framework of Glauber model to describe the quark distribution in the proton and obtained a good fit with the experimental data at the CERN-ISR energies [31,32]. In [32], by introducing quark-quark short rang correlations in the wave function obtained the quark radius R q ≈ 0.17 fm. Using the geometrical impact parameter representation [33] obtained R q ≈ 0.15.5 fm.…”