Search

In the quark parton model (QPM), polarized structure function g1 is directly related to contributions of the individual quark flavors to the overall spin of the nucleon. Sum rules based on this simple model have provided fertile ground for understanding the origin of the nucleon spin in terms of quark degrees of freedom. Our next-to-leading-order (NLO) analyses of the world g1 data based on the Jacobi polynomial expansion method have provided indirect information about the components of the nucleon's spin. Moreover, we study the dependence of our results to the number of Jacobi polynomial expansion terms in this paper. [ABSTRACT FROM AUTHOR]

We calculate the unpolarized parton distribution functions up to NNLO approximation from the QCD analysis of the world DIS data. To study the proton structure functions $F_2(x,Q^2)$, we need to use the orthogonal polynomials expansion method. This method is very useful to parameterize parton distribution function at the input of $Q_0^2$. Our calculations for parton distribution functions based on the Jacobi polynomials method are in good agreement with the other theoretical models. [ABSTRACT FROM AUTHOR]

We present the results of the Next-to-leading order (NLO) non-singlet QCD analysis of the experimental data of the CCFR collaboration for the xF3 structure function of the deep-inelastic scattering of neutrinos on the nucleon in based on the associated Jacobi polynomials expansion of the structure functions. The structure function is reconstructed from its moments by using the expansion in terms of orthogonal associated Jacobi polynomials. Our results of valence quark distributions are in good agreement with the available theoretical models. [ABSTRACT FROM AUTHOR]

In this paper a non-singlet QCD analysis of the structure function F2 in LO, NLO and NNLO is performed based on the Jacobi polynomials. For parameterization we used world data for charged lepton scattering. We determine the valence quark densities in a wide range of x and Q². [ABSTRACT FROM AUTHOR]

We present the results of our QCD analysis for quark distributions and structure functions for polarized deep inelastic scattering of leptons on nucleons and nuclei using the Jacobi polynomials up to NLO approximation. Finally by having proton and also neutron structure functions, we have enough motivation to extract 3He and 3H polarized structure functions. [ABSTRACT FROM AUTHOR]

In this paper, we present SMKA18 analysis, which is a first attempt to extract the set of next-to-next-leading-order (NNLO) spin-dependent parton distribution functions (spin-dependent PDFs) and their uncertainties determined through the Laplace transform technique and Jacobi polynomial approach. Using the Laplace transformations, we present an analytical solution for the spin-dependent Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NNLO approximation. The results are extracted using a wide range of proton gp1(x,Q2), neutron gn1(x,Q2), and deuteron gd1(x,Q2) spin-dependent structure functions data set including the most recent high-precision measurements from COMPASS16 experiments at CERN, which are playing an increasingly important role in global spin-dependent fits. The careful estimations of uncertainties have been done using the standard Hessian error propagation. We will compare our results with the available spin-dependent inclusive deep inelastic scattering data set and other results for the spin-dependent PDFs in literature. The results obtained for the spin-dependent PDFs as well as spin-dependent structure functions are clearly explained both in the small and large values of x. [ABSTRACT FROM AUTHOR]