English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We develop a non-perturbative model for valence parton distribution functions(PDFs) based on the mean field interactions of valence quarks in the nucleonicinterior. The main motivation for the model is to obtain a mean fielddescription of the valence quarks as a baseline to study the short rangequark-quark interactions that generate the high $x$ tail of PDFs. The model isbased on the separation of the valence three-quark cluster and residual systemin the nucleon. Then the nucleon structure function is calculated within theeffective light-front diagrammatic approach introducing nonperturbativelight-front valence quark and residual wave functions. Within the model a newrelation is obtained between the position, $x_p$, of the peak of $xq_V(x)$distribution of the valence quark and the effective mass of the residualsystem, $m_R$, in the form: $x_{p} \approx {1\over 4} (1-{m_R\over m_N})$ atstarting $Q^2$. This relation explains the difference in the peak positions ford- and u- quarks through the expected difference of residual masses for valenced- and u- quark distributions. The parameters of the model are fixed by fittingthe calculated valence quark distributions to the phenomenological PDFs. Thisallowed us to estimate the overall mean field contribution in baryonic andmomentum sum rules for valence d- and u- quarks. Finally, the evaluatedparameters of the non-perturbative wave functions of valence 3q-cluster andresidual system can be used in calculation of other quantities such as nucleonform factors, generalized partonic and transverse momentum distributions.

Residual Mean Field Model of Valence Quarks in the Nucleon