School Desegregation

Color dipole picture and extracting the ratio of structure functions at small x

“…Mp , which it is much longer than its typical interaction time with the target at small x. This condition not only restricts the kinematical range of the color dipole model to x ≪ 1 but also saturate the γ *proton cross section with x ≤ 0.1 [4][5][6]. HERA have been combined the neutral current (NC) interaction data for 0.045 ≤ Q 2 ≤ 50, 000 GeV 2 and 6 × 10 −7 ≤ x Bj ≤ 0.65 at values of the inelasticity, y = Q 2 /(sx Bj ), between 0.005 and 0.95 [7].…”

“…The variable z, with 0 ≤ z ≤ 1, characterizes the distribution of the momenta between quark and antiquark. The square of the photon wave function describes the probability for the occurrence of a (qq) fluctuation of transverse size with respect to the photon polarization [3][4][5][6]11]. The ratio of the structure functions is related to the longitudinal-to-transverse ratio of the photo absorption cross sections as is given by…”