Abstract
We study the diffractive jet production in electron-ion collisions in the kinematical region where the mass $M_X$ of the diffractive final state is larger than $Q^2$. Based on parton saturation framework predictions are done for the kinematics of future or possible $eA$ machines as the EIC, LHeC, HE-LHeC and FCC-eA. We analyze the differential cross section as a function of jet (gluon) transverse momentum and from the experimental point of view this observable could be used to extract the saturation scale as a function of $x_{I\!\!P}$.
Highlights
The Electron-Ion Collider (EIC) will open the possibility of probing the hadronic structure in the regime of large partonic densities and high strong field strengths, which are expected to modify the linear evolution equations
We numerically evaluate the formula for the gluon jet differential cross section, Eqs. (6) and (12), using the nuclear saturation scale based on geometric scaling property, Eq (1)
We start the analysis for the EIC [3], presenting the scaled cross section as a function of jet transverse momentum, κ
Summary
The Electron-Ion Collider (EIC) will open the possibility of probing the hadronic structure in the regime of large partonic densities and high strong field strengths, which are expected to modify the linear evolution equations. Within the parton saturation framework, the nuclear saturation scale, Qs,A, is enhanced with respect to the nucleon one, Qs,p by a sizable factor. For lead targets this enhancement of the nuclear saturation momentum reaches a factor 3 in contrast to the proton one where Qs,p(x = 10−5) ≈ 1 GeV (x is the usual Bjorken variable). HERA data [2]) is the saturation scale of a single proton, Rp is the proton radius, and RA is the nucleus radius. For the latter quantity, we take the usual parametrization RA = (1.12A1/3 − 0.86A−1/3).
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