Original scientific paper
Parton distributions in nucleon on the basis of a relativistic independent quark model
N. Barik
; Department of Physics, Utkal University, VaniVihar, Bhubaneswar-751004, India
R. N. Mishra
; Department of Physics, Dhenkanal college, Dhenkanal-759001, Orissa, India
Abstract
At a low resolution scale with Q2 = µ2 corresponding to the nucleon bound state, deep inelastic unpolarized structure functions F1(x, µ2) and F2(x, µ2) are derived, with correct support using the symmetric part of the hadronic tensor under some simplifying assumptions in the Bjorken limit. For doing this, the nucleon in its ground state has been represented by a suitably constructed momentum wave packet of its valence quarks in their appropriate SU(6) spin flavour configuration, with the momentum probability amplitude taken phenomenologically in reference to the independent quark model of scalar-vector harmonic potential. The valence quark distribution functions uv(x, µ2) and dv(x, µ2), extracted from the structure function F1(x, µ2) in a parton model interpretation, satisfy normalization constraints as well as the momentum sum-rule requirements at a bound state scale of µ2 = 0.1 GeV2. QCD evolution of these distribution functions taken as the inputs, yields at Q2 0 = 15 GeV2, xuv(x, Q2 0) and xdv(x, Q2 0) in good qualitative agreement with the experimental data. The gluon distribution G(x, Q2 0) and the sea-quark distribution qs(x, Q2 0), which are dynamically generated using the leading order renormalization group equation, also match reasonably well with the available experimental data.
Keywords
nucleon bound state; deep inelastic unpolarized structure functions; Bjorken limit; independent quark model of scalar-vector harmonic potential; parton model; comparison with experimental data
Hrčak ID:
304065
URI
Publication date:
3.3.2002.
Visits: 527 *