Approach for the three-body force effect in a high-energy approximation: Application to hadron-deuteron elastic scattering

Hassan, Mona; Salama, T. N. E.; Hassan, Z. S.

doi:10.1103/physrevc.63.044606

Cited by 11 publications

(22 citation statements)

References 29 publications

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“…The parameters (A j (kl) , B j (kl) , A ( jm)k , B ( jm)k , γ 0 ) are the three-quark force dimensionless parameters. Also, r th = √ γ , where γ = γ 0 R 2 0 , can be considered as the three-quark force radius [37,38]. From the uncertainty relation of energy and time, we know that r th = 1 2 r t .…”

Section: Formalismmentioning

confidence: 99%

“…However, the three-quark force was not studied. We can, simply, introduce the two-gluon exchange three-quark force effect through the profile function of quarkquark interaction in the Glauber theory in similar fashion to the used approaches in the case of 2π -exchange threenucleon force [37,38]. The optical limit approximation [38] is used to study three-quark force in proton-proton elastic scattering at FNAL and CERN-ISR energy.…”

Section: Introductionmentioning

confidence: 99%

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Three-quark force in p–p elastic scattering

2018

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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.

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Section: Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-quark force in p–p elastic scattering

2018

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“…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…”

Section: The Modelmentioning

confidence: 99%

“…The used transformation in Eqs. (12) and (13) are suggested by Hassan et al [33]. A 0 jk , ε jk and β 0 jk are two-quark force dimensionless parameters.…”

Section: The Modelmentioning

confidence: 99%

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

2019

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Considering that the proton has an outer pion cloud of radius ∼ 0.87 fm and an inner core of radius ∼ 0.44 fm where the valence three quarks are confined and in the framework of optical limit approximation of Glauber, the proton-proton elastic scattering differential cross section, total cross section, the ratio of real part to imaginary part of elastic scattering amplitude in the forward direction, the total elastic and inelastic cross sections are calculated for LHC energy at √ s = 7, 8, 13 TeV. The three-quark force is included. A good agreement is obtained with the experimental data at LHC energy 7, 8 and 13 TeV of last measurements of TOTEM Collaborations. Only for the differential cross section a disagreement is obtained for q 2 > 1 (GeV/c) 2 , where the complete Glauber polynomial is needed. We tried to confirm the results of radii of two-and three-quark force and the gluon quant energy which were obtained before at ISR energy.

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“…However, the database of hadron-deuteron scattering at high energy, E 1 GeV, is very poor in theoretical and experimental works with the three-body force effects, especially, relative to the case of intermediate energy. For high energies, E 1 GeV, in the framework of multiple scattering Glauber approximation, Hassan et al [29] suggested an approach for the three-body force effect in the case of hadron-nucleus scattering. The differential cross sections of p−, p− and π − − d elastic scattering at 1.75 and 12.8 GeV/c for incident proton, 2 GeV/c for anti-proton and 9 GeV/c for pion were studied.…”

Section: Introductionmentioning

confidence: 99%

Approach for the three-body force effect in the optical limit approximation: application to hadron–deuteron elastic scattering at high energies

Hassan¹,

Salama²,

Hassan³

et al. 2013

J. Phys. G: Nucl. Part. Phys.

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An approach for the three-body force effect in the optical limit approximation is suggested. The differential cross sections of p−, p− and π − − d elastic scattering at 1.75 and 12.8 GeV/c for incident proton, 2 GeV/c for anti-proton and 9 GeV/c for pion are studied. The D-state and phase variation effects are considered. The experimental data is well described including the 2π -exchange three-body force. The three-body force effect, in this approach, plays a principal role over the complete range of momentum transfer square where the data is available.

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Approach for the three-body force effect in a high-energy approximation: Application to hadron-deuteron elastic scattering

Cited by 11 publications

References 29 publications

Three-quark force in p–p elastic scattering

Three-quark force in p–p elastic scattering

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

Approach for the three-body force effect in the optical limit approximation: application to hadron–deuteron elastic scattering at high energies

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