1College of Physics and Electronics Science, Guizhou Normal University, Guiyang 550001 2Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
An analytic massive total cross section of photon–proton scattering is derived, which has geometric scaling. A geometric scaling is used to perform a global analysis of the deep inelastic scattering data on inclusive structure function $F_2$ measured in lepton–hadron scattering experiments at small values of Bjorken $x$. It is shown that the descriptions of the inclusive structure function $F_2$ and longitudinal structure function $F_{\rm L}$ are improved with the massive analytic structure function, which may imply the gluon saturation effect dominating the parton evolution process at HERA. The inclusion of the heavy quarks prevent the divergence of the lepton–hadron cross section, which plays a significant role in the description of the photoproduction region.
(Relativistic heavy-ion collisions (collisions induced by light ions studied to calibrate relativistic heavy-ion collisions should be classified under both 25.75.-q and sections 13 or 25 appropriate to the light ions))
2016, Vol. 33 
