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Saturation model in the non-Glauber approach
High Energy Physics - Phenomenology · Submitted 15 Jul 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This model is based on the theoretical solution for the generating functional, and it is quite different and not more complicated than the Glauber-like approach used before.
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In this paper a new saturation model is presented. This model is based on the theoretical solution for the generating functional, and it is quite different and not more complicated than the Glauber-like approach used before. The model describes the structure function F_{2} of the proton, as well as the diffractive structure function F_{2}^{D}. We show the difference between our model, and the eikonal approach by calculating the multiplicity distribution, using the AGK cutting rules strategy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper a new saturation model is presented. | contribution 1.00 | 0.91 | 0.15 | asserted 1.00 |
| s1 | This model is based on the theoretical solution for the generating functional, and it is quite different and not more complicated than the Glauber-like approach used before. | method 0.84 | 0.69 | 0.18 | asserted 1.00 |
| s2 | The model describes the structure function F_{2} of the proton, as well as the diffractive structure function F_{2}^{D}. | contribution 0.90 | 0.78 | 0.13 | asserted 1.00 |
| s3 | We show the difference between our model, and the eikonal approach by calculating the multiplicity distribution, using the AGK cutting rules strategy. | contribution 0.43 | 0.93 | 0.16 | asserted 1.00 |
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The paper
Original abstract
In this paper a new saturation model is presented. This model is based on the theoretical solution for the generating functional, and it is quite different and not more complicated than the Glauber-like approach used before. The model describes the structure function F_{2} of the proton, as well as the diffractive structure function F_{2}^{D}. We show the difference between our model, and the eikonal approach by calculating the multiplicity distribution, using the AGK cutting rules strategy.
Human review
How the literature uses it
2 arXiv papers cite this in 4 sentences
What it cites · 21 sentences without a confident label
Uses the method or tool of 2 papers
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We follow the procedure proposed in Ref. [ref] and we obtain F^L_qq(x_,β,Q^2) = 3Q^4/π^3x_(1-β)∫_0^∞ d^2b ∫^1/4M^2-m^2_0 dk^2_⊥/√(1-4m^2_⊥/M^2) (m^2_⊥/M^2)^3ϕ^2_0(k,b,β,x_) and the transverse $qq$ contribution has the form F^T_qq(x_,β,Q^2) = 3Q^2/x_4π^2∑_fe^2_f∫_0^∞ d^2b ∫^1/4M^2-m^2_0 dk^2_⊥/√(1-4m^2_⊥/M^2)(m_⊥^2/M^2)× {(1-2m^2_⊥/M^2)(βk^2+m^2_f/1-β) ϕ^2_1(k,b,β,x_) + m^2_f ϕ^2_0(k,b,β,x_)} where M^2 = Q^2(1 - β)/β m^2_⊥ = k^2_⊥ + m^2_f and the "impact factor" $ϕ_i(k,b,β, x_)$ $(i=0,1,2)$ given by: ϕ_i(k,b,β, x_) = ∫ dr r K_i(√(k^2_⊥β+m^2_f/1-β)r)J_i(kr)N(x_,r,b) where $K_i$ and $J_i$ are Bessel functions.
Diffractive parton distributions from the saturation model · Diffractive production in DIS · 0.98
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We follow the procedure proposed in Ref. [ref] and we obtain F^L_qq(x_,β,Q^2) = 3Q^4/π^3x_(1-β)∫_0^∞ d^2b ∫^1/4M^2-m^2_0 dk^2_⊥/√(1-4m^2_⊥/M^2) (m^2_⊥/M^2)^3ϕ^2_0(k,b,β,x_) and the transverse $qq$ contribution has the form F^T_qq(x_,β,Q^2) = 3Q^2/x_4π^2∑_fe^2_f∫_0^∞ d^2b ∫^1/4M^2-m^2_0 dk^2_⊥/√(1-4m^2_⊥/M^2)(m_⊥^2/M^2)× {(1-2m^2_⊥/M^2)(βk^2+m^2_f/1-β) ϕ^2_1(k,b,β,x_) + m^2_f ϕ^2_0(k,b,β,x_)} where M^2 = Q^2(1 - β)/β m^2_⊥ = k^2_⊥ + m^2_f and the "impact factor" $ϕ_i(k,b,β, x_)$ $(i=0,1,2)$ given by: ϕ_i(k,b,β, x_) = ∫ dr r K_i(√(k^2_⊥β+m^2_f/1-β)r)J_i(kr)N(x_,r,b) where $K_i$ and $J_i$ are Bessel functions.
Diffractive open charm production at HERA · Diffractive production in DIS · 0.98
Uses data or values from 8 papers
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We used the relevant data on $F_L$ from H1 collaboration [ref] in order to estimate our calculations.
Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s · Prediction for $F_L$ at HERA · 1.00
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For this purpose, we used the latest data on diffractive dissociation, from ZEUS collaboration [ref] .
Study of deep inelastic inclusive and diffractive scattering with the ZEUS forward plug calorimeter · Diffractive production in DIS · 0.99
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In section [ref], we show how our model describes the HERA data using the recent data on the proton structure function $F_2$, in a wide range of kinematics from different collaborations [ref] , we fit our model and find the free parameters.
On the Rise of the Proton Structure Function F_2 Towards Low x · Introduction · 0.93
Compares with 10 papers
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Comparison of the prediction of the model with ZEUS data [ref] .
Study of deep inelastic inclusive and diffractive scattering with the ZEUS forward plug calorimeter · Diffractive production in DIS · 0.95
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Comparing this to the recent experimental data [ref] we find a good agreement between the calculated prediction, and the experimental result, as it can be viewed in Fig. [ref].
Measurement of D^(*+-) Meson Production and F_2^c in Deep-Inelastic Scattering at HERA · Charm quark contribution · 0.92
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Comparing this to the recent experimental data [ref] we find a good agreement between the calculated prediction, and the experimental result, as it can be viewed in Fig. [ref].
Measurement of D*+- production in deep inelastic ep scattering at HERA · Charm quark contribution · 0.92
Cites as background 1 paper
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The deep inelastic scattering process is shown in Fig. [ref]$(a)$ and the standard variables are defined as : P : Q^2 = - q^2 : y = P·q/P·k : (q + P)^2 = W^2 : x = Q^2/2p·q = Q^2/Q^2 + W^2 For small values of Bjorken-$x$, one can separate between the photon wave function, which corresponds to the creation of the quark - antiquark pair, and the interaction of the dipole with the target [ref] .
Unitarization of Structure Functions at Large ${\bf 1/x}$ · Description of DIS · 0.96
Discussion
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