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Examining the evolution of the maximum of valence quark distribution weighted by Bjorken x, $h(x,t)\equiv xq_V(x,t)$, we observe that $h(x,t)$ at the peak should become a one parameter function; $h(x_p,t)=\Phi(x_p(t))$, where $x_p$ is the…

High Energy Physics - Phenomenology · Physics 2021-08-23 Christopher Leon , Misak M. Sargsian , Frank Vera

We calculate the valence parton distribution function~(PDF) of pion, within the theoretical approach based on spectral function representation of valence quarks in the pion. In this approach we assume that the soft partonic structure of…

High Energy Physics - Phenomenology · Physics 2026-03-16 Joseph Maerovitz , Christopher Leon , Misak Sargsian

We develop a non-perturbative model for valence parton distribution functions (PDFs) based on the mean field interactions of valence quarks in the nucleonic interior. The main motivation for the model is to obtain a mean field description…

High Energy Physics - Phenomenology · Physics 2021-12-08 Christopher Leon , Misak Sargsian

At a low resolution scale with $Q^2={\mu}^2$ corresponding to the nucleon bound state; deep inelastic unpolarized structure functions $F_1(x,{\mu}^2)$ and $F_2(x,{\mu}^2)$ are derived with correct support using the symmetric part of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Barik , R. N. Mishra

We present a simple empirical parameterization of the x- and t-dependence of generalized parton distributions at zero skewness, using forward parton distributions as input. A fit to experimental data for the Dirac, Pauli and axial form…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Diehl , Th. Feldmann , R. Jakob , P. Kroll

The hyperfine interactions of the constituent quark model provide a natural explanation for many nucleon properties, including the Delta-N splitting, the charge radius of the neutron, and the observation that the proton's quark distribution…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nathan Isgur

We provide an experimental and theoretical perspective on the behavior of unpolarized distribution functions for the nucleon and pion on the valence-quark domain; namely, Bjorken-x \gtrsim 0.4. This domain is key to much of hadron physics;…

Nuclear Theory · Physics 2010-11-03 Roy J. Holt , Craig D. Roberts

We present an attempt of maximum entropy principle to determine valence quark distributions in the proton at very low resolution scale $Q_0^2$. The initial three valence quark distributions are obtained with limited dynamical information…

High Energy Physics - Phenomenology · Physics 2015-03-31 Rong Wang , Xurong Chen

We review both the counting rule and the influence of the evolution in $Q^2$ for the large $x_{Bj}$ behaviour of the valance quark distribution functions. Based on a factorization procedure we present a more general perturbative treatment…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Müller

The parton distribution functions determined by CTEQ at low $Q^2$ are used as inputs to test the validity of the valon model. The valon distributions in a nucleon are first found to be nearly $Q$ independent. The parton distribution in a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rudolph C. Hwa , C. B. Yang

Moments of the generalized parton distributions of the nucleon, calculated with a mixed action of domain wall valence quarks and asqtad staggered sea quarks, are presented for pion masses extending down to 359 MeV. Results for the moments…

This work reviews the recent developments in the field of Generalized Parton Distributions (GPDs) and Deeply virtual Compton scattering in the valence region, which aim at extracting the quark structure of the nucleon. We discuss the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Michel Guidal , Herve Moutarde , Marc Vanderhaeghen

We present results for the nucleon's leading-twist spin-independent valence parton distribution functions obtained from a theoretical framework based on the Dyson-Schwinger equations (DSEs) of QCD that previously gave an excellent…

Nuclear Theory · Physics 2018-08-01 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

We present a calculation of valence double parton distributions of the pion in the framework of chiral quark models. The result obtained at the low-energy quark model scale is particularly simple, where in the chiral limit a factorized form…

High Energy Physics - Phenomenology · Physics 2020-06-18 Wojciech Broniowski , Enrique Ruiz Arriola

The general method for calculation of valence quark distributions in hadrons at intermediate $x$ is presented. The imaginary part of virtual photon forward scattering amplitude on quark current with hadron quantum number is considered in…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

We present a new approach for the calculation of the valence quark distributions in the nucleon based on the scenario in which the spectrum of the valence quarks at x>0.05 is generated through three main mechanisms: interaction of valence…

High Energy Physics - Phenomenology · Physics 2020-01-14 Christopher Leon , Misak Sargsian

We investigate the model dependence of no-helicity flip generalized parton distribution of the pion upon different approaches for the quark-hadron and quark-photon vertexes, in the spacelike region. In order to obtain information on…

High Energy Physics - Phenomenology · Physics 2009-11-06 T. Frederico , E. Pace , B. Pasquini , G. Salmé

Valence quark distributions of pion at very low resolution scale $Q^{2}_0 \sim 0.1~GeV^2$ are deduced from a maximum entropy method, under the assumption that pion consists of only a valence quark and a valence anti-quark at such a low…

High Energy Physics - Phenomenology · Physics 2019-11-25 Chengdong Han , Hanyang Xing , Xiaopeng Wang , Qiang Fu , Rong Wang , Xurong Chen

The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large-Nc limit. The nucleon is described as a soliton of the effective chiral theory. We derive…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. I. Diakonov , V. Yu. Petrov , P. V. Pobylitsa , M. V. Polyakov , C. Weiss

In this letter, we investigate the nucleon quasi-parton distribution functions in the chiral quark soliton model. We derive a set of sum-rules depending on the velocity of the nucleon and on the Dirac matrix defining the distribution…

High Energy Physics - Phenomenology · Physics 2020-08-03 Hyeon-Dong Son , Asli Tandogan , Maxim V. Polyakov
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