Proton structure functions properties from partons helicity components based on maximum entropy approach

Analytic expressions for longitudinal quantum statistical parton distribution functions are introduced. An attempt using the maximum entropy principle to determine the spin structure and polarized features of proton is presented. The study provides considering two active flavors and explores polarized statistical distribution of gluons. The structure functions and helicity properties, only based on the momentum entropy maximization principle and proton sum rules are compared to NNPDF, HERMES and other data sets. Eventually, the predicted values of $${F_{2}}^n / {F_{2}}^p$$ and $$\varDelta g/g$$ show a good accordance with the experimental results, and one can accept our results validity through the $$xg_1$$ and $$\varGamma _1$$ data sets.