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Dynamical chiral symmetry breaking (DCSB) is one of the keystones of low-energy hadronic phenomena. Dyson-Schwinger equations provide a model-independent quark-level understanding and correlate that with the behaviour of the pion's…

Nuclear Theory · Physics 2010-03-04 C. D. Roberts

We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard…

High Energy Physics - Phenomenology · Physics 2020-06-12 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We present the results of a lattice study of light-cone distribution amplitudes (DAs) of the nucleon and negative parity nucleon resonances using two flavors of dynamical (clover) fermions on lattices of different volumes and pion masses…

High Energy Physics - Lattice · Physics 2014-06-11 V. M. Braun , S. Collins , B. Gläßle , M. Göckeler , A. Schäfer , R. W. Schiel , W. Söldner , A. Sternbeck , P. Wein

A better understanding of transverse momentum (k_T-) dependent quark distributions in a hadron is needed to interpret several experimentally observed large angular asymmetries and to clarify the fundamental role of gauge links in…

High Energy Physics - Lattice · Physics 2010-01-15 Ph. Hägler , B. U. Musch , J. W. Negele , A. Schäfer

We explain how the emergent phenomenon of dynamical chiral symmetry breaking ensures that Poincar\'e covariant analyses of the three valence-quark scattering problem in continuum quantum field theory yield a picture of the nucleon as a…

Nuclear Theory · Physics 2018-04-04 Jorge Segovia , Cédric Mezrag , Lei Chang , Craig D. Roberts

We report the first Dyson-Schwinger equation predictions for the leading-twist distribution amplitudes of the $B^*$, $B_s^*$, and $B_c^*$ mesons, and extend the investigation to a broader set of heavy-light pseudo-scalar/vector mesons.…

High Energy Physics - Phenomenology · Physics 2025-08-12 Yin-Zhen Xu

We extract the x dependence of the nonsinglet u-d distribution function in the nucleon from the lowest few moments calculated on the lattice, using an extrapolation formula which ensures the correct behavior in the chiral and heavy quark…

High Energy Physics - Lattice · Physics 2010-05-28 W. Detmold , W. Melnitchouk , A. W. Thomas

Parton distribution functions (DFs) are defining expressions of hadron structure. Exploiting the role of effective charges in quantum chromodynamics, an algebraic scheme is described which, given any hadron's valence parton DFs at the…

High Energy Physics - Phenomenology · Physics 2023-06-07 Pei-Lin Yin , Yin-Zhen. XuID , Zhu-Fang Cui , Craig D. Roberts , José Rodríguez-Quintero

We analyze experimental data of nuclear structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross section ratios for obtaining optimum parton distribution functions (PDFs) in nuclei. Then, uncertainties of the nuclear PDFs are estimated…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Hirai , S. Kumano , T. -H. Nagai

In order to overcome the shortcoming of nonconservation of nuclear momentum existing in the original $Q^2$-rescaling model(O$Q^2$RM) and avoid introducing nuclear shadowing factor, we proposed a double $Q^2$-rescaling model(D$Q^2$RM) for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Zhenmin He , Xiaoxia Yao , Chungui Duan , Guanglie Li , Hongan Peng

The mass spectra of nucleon resonances with spin 1/2, 3/2, and 5/2 are systematically studied in the constituent quark model with meson-quark coupling, which is inspired by the spontaneous breaking of chiral symmetry of QCD. The meson-quark…

Nuclear Theory · Physics 2009-10-30 H. Kowata , M. Arima , K. Masutani

The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression…

Transversity quark light-cone momentum distributions are calculated for the nucleon. We utilize a modified Nambu--Jona-Lasinio model in which confinement is simulated by eliminating unphysical thresholds for nucleon decay into quarks. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. C. Cloët , W. Bentz , A. W. Thomas

To understand orbital-angular-momentum contributions is becoming crucial for clarifying nucleon-spin issue in the parton level. Twist-two structure functions b_1 and b_2 for spin-one hadrons could probe orbital-angular-momentum effects,…

High Energy Physics - Phenomenology · Physics 2014-11-21 S. Kumano

It is usually assumed -- following the parton model -- that the leading-twist structure functions measured in deep inelastic lepton-proton scattering are simply the probability distributions for finding quarks and gluons in the target…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

Electromagnetic form factors of the nucleon in the space-like region are investigated within the framework of a covariant and confining Nambu-Jona-Lasinio model. The bound state amplitude of the nucleon is obtained as the solution of a…

Nuclear Theory · Physics 2014-10-15 Ian C. Cloët , Wolfgang Bentz , Anthony W. Thomas

We construct a model for inelastic neutrino- and electron-nucleon scattering cross sections using effective leading order parton distribution functions with a new scaling variable $\xi_w$. Non-perturbative effects are well described using…

High Energy Physics - Phenomenology · Physics 2013-08-21 Arie Bodek , Un-ki Yang

We calculate the valence quark distribution functions of the $\pi$ meson using the non-relativistic chiral constituent quark model. The $\pi$ wave function is obtained by solving the two-body Schr\"odinger equation within the framework of…

High Energy Physics - Phenomenology · Physics 2023-08-21 Qian Wu , Chengdong Han , Di Qing , Wei Kou , JuJun Xie , Fan Wang , Xurong Chen

We present a comprehensive new global QCD analysis of unpolarized parton distribution functions (PDFs) based upon proton, deuteron and $A\!=\!3$ data, including the latest inclusive deep-inelastic scattering (DIS) measurements from…

High Energy Physics - Phenomenology · Physics 2026-05-04 C. Cocuzza , W. Melnitchouk , N. Sato , A. W. Thomas

Lattice QCD calculations of transverse momentum-dependent parton distribution functions (TMDs) in nucleons are presented, based on the evaluation of nucleon matrix elements of quark bilocal operators with a staple-shaped gauge connection.…