scholarly journals Color dipole picture of deep inelastic scattering, revisited

2016 ◽  
Vol 31 (30) ◽  
pp. 1650157 ◽  
Author(s):  
Masaaki Kuroda ◽  
Dieter Schildknecht
Keyword(s):  
Experimental Data ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Photoabsorption Cross Section ◽  
Reduced Cross Section ◽  
Color Dipole ◽  
Analytic Expressions ◽  
Dipole Picture

Based upon the color-dipole picture, we provide closed analytic expressions for the longitudinal and the transverse photoabsorption cross-sections at low values of the Bjorken variable of [Formula: see text]. We compare with the experimental data for the longitudinal-to-transverse ratio of the (virtual) photoabsorption cross-section and with our previous fit to the experimental data for the total photoabsorption cross-section. Scaling in terms of the low-[Formula: see text] scaling variable [Formula: see text] is analyzed in terms of the reduced cross-section of deep inelastic scattering.

scholarly journals The Color Dipole Picture and the Ratio of the Longitudinal to the Transverse Photoabsorption Cross Section

2009 ◽  
Author(s):  
Dieter Schildknecht ◽  
Roberto Fiore ◽  
Igor Ivanov ◽  
Alessandro Papa ◽  
Jacques Soffer
Keyword(s):  
Cross Section ◽  
Photoabsorption Cross Section ◽  
Color Dipole ◽  
Dipole Picture

scholarly journals SCALING IN γ*p TOTAL CROSS-SECTIONS, SATURATION AND THE GLUON DENSITY

2001 ◽  
Vol 16 (28) ◽  
pp. 1829-1839 ◽  
Author(s):  
DIETER SCHILDKNECHT ◽  
BERND SURROW ◽  
MIKHAIL TENTYUKOV
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Gluon Density ◽  
Hera Data ◽  
Leading Order ◽  
Total Cross Sections ◽  
Vector Dominance ◽  
Color Dipole ◽  
Dipole Picture ◽  
Increasing Function

Including the new HERA data, the γ*p total cross-section is analyzed in the generalized vector dominance/color-dipole picture (GVD/CDP) that contains scaling in [Formula: see text], where Λ2(W2) is an increasing function of W2. At any Q2, for W2→∞, the cross-sections for virtual and real photons become identical, σγ*p (W2,Q2)/σγp (W2)→ 1. The gluon density deduced from the color-dipole cross-section fulfills the leading order DGLAP relationship. Evolution à la DGLAP breaks down for η≲0.1.

scholarly journals A METHOD FOR EXTRACTING THE RESONANCE PARAMETERS FROM EXPERIMENTAL CROSS-SECTIONS

2013 ◽  
Vol 22 (05) ◽  
pp. 1350032 ◽  
Author(s):  
S. A. RAKITYANSKY ◽  
N. ELANDER
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Cross Sections ◽  
Single Channel ◽  
Analytic Structure ◽  
Resonance Parameters ◽  
S Matrix ◽  
Analytic Expressions ◽  
Data Points ◽  
Pseudo Data

Within the proposed method, a set of experimental data points are fitted using a multi-channel S-matrix. Then the resonance parameters are located as its poles on an appropriate sheet of the Riemann surface of the energy. The main advantage of the method is that the S-matrix is constructed in such a way that it has proper analytic structure, i.e. for any number of two-body channels, the branching at all the channel thresholds is represented via exact analytic expressions in terms of the channel momenta. The way the S-matrix is constructed makes it possible not only to locate multi-channel resonances but also to extract their partial widths as well as to obtain the scattering cross-section in the channels for which no data are available. The efficiency of the method is demonstrated by two model examples of a single-channel and a two-channel problems, where known resonance parameters are rather accurately reproduced by fitting the pseudo-data artificially generated using the corresponding potentials.

The study of deep inelastic scattering process of electron nucleus at LHeC region

2017 ◽  
Vol 26 (10) ◽  
pp. 1750067 ◽  
Author(s):  
S. Heidari ◽  
B. Rezaei ◽  
G. R. Boroun
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Cross Section ◽  
Mass Number ◽  
Nonlinear Behavior ◽  
Structure Functions ◽  
Heavy Quarks ◽  
Scattering Process ◽  
Reduced Cross Section ◽  
Number Formula

The nonlinear behavior in electron–nucleus collisions for nuclei with mass number [Formula: see text] and 265 at very small [Formula: see text] regime [Formula: see text] with low and moderate [Formula: see text] is studied. The charm and bottom heavy quarks contributions to the reduced cross-section and ratio of structure functions [Formula: see text] to [Formula: see text] are investigated by using the Kharzeev–Levin–Nardi phenomenological ansatz at LO and NLO analyses.

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