• Unpolarized structure functions and the parton distributions for nucleon in an independent quark model

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      https://www.ias.ac.in/article/fulltext/pram/056/04/0519-0536

    • Keywords

       

      Scalar-vector harmonic potential model; structure functions; parton distributions; momentum sum rule

    • Abstract

       

      Considering the nucleon as consisting entirely of its valence quarks confined independently in a scalar-vector harmonic potential; unpolarized structure functions F1(x, μ2) and F2(x, μ2) are derived in the Bjorken limit under certain simplifying assumptions; from which valence quark distribution functions uv(x, μ2) and dv(x, μ2) are appropriately extracted satisfying the normalization constraints. QCD-evolution of these input distributions from a model scale of μ2=0.07 GeV2 to a higher Q2 scale of Q02=15 GeV2 yields xuv(x, Q02) and xdv(x, Q02) in good agreement with experimental data. The gluon and sea-quark distributions such as G(x, Q02) and qs(x, Q02) are dynamically generated with a reasonable qualitative agreement with the available data; using the leading order renormalization group equations with appropriate valence-quark distributions as the input.

    • Author Affiliations

       

      N Barik1 RN Mishra1 2

      1. Department of Physics, Utkal University, Vani Vihar, Bhubaneswar - 751 004, India
      2. Department of Physics, Dhenkanal College, Dhenkanal - 759 001, India
    • Dates

       
  • Pramana – Journal of Physics | News

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