Three-quark force in p–p elastic scattering

Abstract

In the framework of Glauber optical limit approximation, considering the proton has an outer pion cloud of radius ∼ 0.87 f m and an inner core of radius ∼ 0.44 f m 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 ≈ 3 (GeV/c) 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.

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

“…In the present paper we will calculate the p-p elastic scattering differential cross seca e-mail: el_hamam@sci.asu.edu.eg tion dσ/dq 2 , total cross section σ t , the ratio ρ of real part to imaginary part of elastic scattering amplitude in the forward direction, the total elastic and inelastic cross sections σ el and σ in , respectively. In these calculations, the three-quark force is considered using the same approach in [26]. We try to confirm the results of the radii of two-and three-quark force and the gluon quant energy which were obtained at ISR energy.…”

“…Since in the previous our work [26] we obtained a good agreement with p-p elastic scattering data of ISR energy at √ s = 19.42 − 53 GeV by using optical limit approximation of Glauber theory [27], we try to use the same approximation to discuss the results of TOTEM measurements of LHC energy at √ s = 7, 8, 13 TeV [1][2][3][4][5][6][7][8]. In the present paper we will calculate the p-p elastic scattering differential cross seca e-mail: el_hamam@sci.asu.edu.eg tion dσ/dq 2 , total cross section σ t , the ratio ρ of real part to imaginary part of elastic scattering amplitude in the forward direction, the total elastic and inelastic cross sections σ el and σ in , respectively.…”

“…where b is the two-dimensional impact vector between the mass centres of the two protons, and b 0 = b/R 0 . Considering the three-quark force, the total optical phase shift χ opt (b 0 ) is given by [26,32]…”

“…In terms of profile functions of interactions Γ t jk (b 0 ), th j (kl) (b 0 jk , t 0kl ) and th (jm)k (b 0 jk , t 0 jm ) of two-quark force and three-quark forces, respectively, the phase shifts χ t jk (b 0 ), χ th j (kl) (b 0 ) and χ th (jm)k (b 0 ) are given by [26,32]…”

“…For the target proton we have the same formulas with dashes. The profile functions Γ t jk (b 0 ), th j (kl) (b 0 jk , t 0kl ) and th (jm)k (b 0 jk , t 0 jm ) of two-quark force [29] and three-quark forces [26,32,33], respectively, are taken as follows…”