N. Barik et Rn. Mishra, Unpolarized structure functions and the parton distributions for nucleon in an independent quark model, PRAMANA-J P, 56(4), 2001, pp. 519-536
Considering the nucleon as consisting entirely of its valence quarks confin
ed independently in a scalar-vector harmonic potential: unpolarized structu
re functions F-1 (x, mu (2)) and F-2(x, mu (2)) are derived in the Bjorken
limit under certain simplifying assumptions: from which valence quark distr
ibution functions u(v)(x, mu (2)) and d(v)(x, mu (2)) are appropriately ext
racted satisfying the normalization constraints. QCD-evolution of these inp
ut distributions from a model scale of mu (2) = 0.07 GeV2 to a higher Q(2)
scale of Q(0)(2) = 15 GeV2 yields xu(v)(x, Q(0)(2)) and xd(v)(x, Q(0)(2)) i
n good agreement with experimental data. The gluon and sea-quark distributi
ons such as G(x, Q(0)(2)) and q(s)(x, Q(0)(2)) are dynamically generated wi
th a reasonable qualitative agreement with the available data; using the le
ading order renormalization group equations with appropriate valence-quark
distributions as the input.