Eur. Phys. J. C (2007) 52: 571-579
https://doi.org/10.1140/epjc/s10052-007-0419-z

Regular Article - Theoretical Physics

x-dependence of the quark distribution functions in the χCQM_config

Department of Physics, Centre of Advanced Study in Physics, Panjab University, Chandigarh, 160 014, India

^* e-mail: hdahiya@pu.ac.in

Received: 25 July 2007
Revised: 31 August 2007
Published online: 26 September 2007

Abstract

Chiral constituent quark model with configuration mixing (χCQM_config) is known to provide a satisfactory explanation of the “proton spin problem” and related issues. In order to enlarge the scope of χCQM_config, we have attempted to phenomenologically incorporate x-dependence in the quark distribution functions. In particular, apart from calculating valence and sea quark distributions q_val(x) and q̄(x), we have carried out a detailed analysis to estimate the sea quark asymmetries d̄(x)-ū(x), d̄(x)/ū(x) and as well as spin independent structure functions F₂ ^p(x)-F₂ ⁿ(x) and F₂ ⁿ(x)/F₂ ^p(x) as functions of x. We are able to achieve a satisfactory fit for all the above mentioned quantities simultaneously. The inclusion of effects due to configuration mixing have also been examined in the case F₂ ^p(x)-F₂ ⁿ(x) and F₂ ⁿ(x)/F₂ ^p(x) where the valence quark distributions dominate and it is found that it leads to considerable improvement in the results. Further, the valence quark structure has also be tested by extrapolating the predictions of our model in the limit x→1 where data is not available.