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

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Abstract

Considering the nucleon as consisting entirely of its valence quarks confined independently in a scalar-vector harmonic potential; unpolarized structure functions F 1(x, μ 2) and F 2(x, μ 2) are derived in the Bjorken limit under certain simplifying assumptions; from which valence quark distribution functions u v(x, μ 2) and d v(x, μ 2) are appropriately extracted satisfying the normalization constraints. QCD-evolution of these input distributions from a model scale of μ 2=0.07 GeV2 to a higher Q 2 scale of Q 20 =15 GeV2 yields xu v(x, Q 20 ) and xd v(x, Q 20 ) in good agreement with experimental data. The gluon and sea-quark distributions such as G(x, Q 20 ) and q s(x, Q 20 ) 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.

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Authors and Affiliations

  1. Department of Physics, Utkal University, Vani Vihar, 751 004, Bhubaneswar, India

    N Barik & RN Mishra

  2. Department of Physics, Dhenkanal College, 759 001, Dhenkanal, India

    RN Mishra

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  1. N Barik
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  2. RN Mishra
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Barik, N., Mishra, R. Unpolarized structure functions and the parton distributions for nucleon in an independent quark model. Pramana - J Phys 56, 519–536 (2001). https://doi.org/10.1007/s12043-001-0101-1

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  • DOI: https://doi.org/10.1007/s12043-001-0101-1

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