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

Abstract

Considering the nucleon as consisting entirely of its valence quarks confined independently in a scalar-vector harmonic potential; unpolarized structure functions F{sub 1} (x, {mu}{sup 2}) and F{sub 2} (x, {mu}{sup 2}) are derived in the Bjorken limit under certain simplifying assumptions; from which valence quark distribution functions u{sub v} (x, {mu}{sup 2}) and d{sub v} (x, {mu}{sup 2}) are appropriately extracted satisfying the normalization constraints. QCD-evolution of these input distributions from a model scale of {mu}{sup 2} = 0.07 GeV{sup 2} to a higher Q{sup 2} scale of Q{sub 0}{sup 2} = 15 GeV{sup 2} yields xu{sub v} (x, Q{sub 0}{sup 2}) and xd{sub v} (x, Q{sub 0}{sup 2}) in good agreement with experimental data. The gluon and sea-quark distributions such as G (x, Q{sub 0}{sup 2}) and q{sub s} (x, Q{sub 0}{sup 2}) 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)
Authors:
Barik, N; [1]  Mishra, R N [2] 
  1. Dept. of Physics, Utkal Univ., Bhubaneswar (India)
  2. Dept. of Physics, Dhenkanal College, Dhenkanal (India)
Publication Date:
Apr 01, 2001
Product Type:
Journal Article
Reference Number:
EDB-01:058482
Resource Relation:
Journal Name: Pramana; Journal Volume: 56; Journal Issue: 4; Other Information: 27 refs., 7 figs; PBD: Apr 2001
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DISTRIBUTION FUNCTIONS; FOURIER TRANSFORMATION; HARMONIC POTENTIAL; NUCLEONS; PARTONS; QUANTUM CHROMODYNAMICS; QUARK MODEL; STRUCTURE FUNCTIONS; SU-2 GROUPS; SUM RULES
OSTI ID:
20169380
Country of Origin:
India
Language:
English
Other Identifying Numbers:
Journal ID: PRAMCI; TRN: IN0100539023750
Submitting Site:
INIS
Size:
page(s) 519-536
Announcement Date:
Jul 17, 2001

Citation Formats

Barik, N, and Mishra, R N. Unpolarized structure functions and the parton distributions for nucleon in an independent quark model. India: N. p., 2001. Web.
Barik, N, & Mishra, R N. Unpolarized structure functions and the parton distributions for nucleon in an independent quark model. India.
Barik, N, and Mishra, R N. 2001. "Unpolarized structure functions and the parton distributions for nucleon in an independent quark model." India.
@misc{etde_20169380,
title = {Unpolarized structure functions and the parton distributions for nucleon in an independent quark model}
author = {Barik, N, and Mishra, R N}
abstractNote = {Considering the nucleon as consisting entirely of its valence quarks confined independently in a scalar-vector harmonic potential; unpolarized structure functions F{sub 1} (x, {mu}{sup 2}) and F{sub 2} (x, {mu}{sup 2}) are derived in the Bjorken limit under certain simplifying assumptions; from which valence quark distribution functions u{sub v} (x, {mu}{sup 2}) and d{sub v} (x, {mu}{sup 2}) are appropriately extracted satisfying the normalization constraints. QCD-evolution of these input distributions from a model scale of {mu}{sup 2} = 0.07 GeV{sup 2} to a higher Q{sup 2} scale of Q{sub 0}{sup 2} = 15 GeV{sup 2} yields xu{sub v} (x, Q{sub 0}{sup 2}) and xd{sub v} (x, Q{sub 0}{sup 2}) in good agreement with experimental data. The gluon and sea-quark distributions such as G (x, Q{sub 0}{sup 2}) and q{sub s} (x, Q{sub 0}{sup 2}) 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)}
journal = []
issue = {4}
volume = {56}
journal type = {AC}
place = {India}
year = {2001}
month = {Apr}
}