 
FIZIKA B 11 (2002) 1, 2748
PARTON DISTRIBUTIONS IN NUCLEON ON THE BASIS OF A RELATIVISTIC
INDEPENDENT QUARK MODEL
N. BARIK^{a} and R. N. MISHRA^{b}
^{a}Department of Physics, Utkal University, VaniVihar,
Bhubaneswar751004, India
^{b}Department of Physics, Dhenkanal college, Dhenkanal759001,
Orissa, India
Received 15 August 2001; Accepted 25 February 2002
Online 25 May 2002
At a low resolution scale with Q^{2} = m^{2}
corresponding to the nucleon bound state, deep inelastic unpolarized structure functions F_{1}(x,m^{2}) and F_{2}(x,m^{2})
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 scalarvector harmonic potential. The valence quark distribution functions u_{v}(x,m^{2}) and d_{v}(x,m^{2}),
extracted from the structure function F_{1}(x,m^{2})
in a parton model interpretation, satisfy normalization constraints as well as the
momentum sumrule requirements at a bound state scale of m^{2}
= 0.1 GeV^{2}. QCD evolution of these distribution functions taken as the inputs,
yields at Q_{0}^{2} = 15 GeV^{2},xu_{v}(x,Q_{0}^{2})
and xd_{v}(x,Q_{0}^{2}) in good qualitative agreement with the
experimental data. The gluon distribution G(x,Q_{0}^{2}) and the seaquark
distribution q_{s}(x,Q_{0}^{2}), which are dynamically generated
using the leading order renormalization group equation, also match reasonably well with
the available experimental data.
PACS numbers: 12.39.pn,12.39.ki,13.60.Hb,13.90.+i
UDC 539.126
Keywords: nucleon bound state, deep inelastic unpolarized structure functions, Bjorken
limit, independent quark model of scalarvector harmonic potential, parton model,
comparison with experimental data
