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We discuss the spin-dependent structure function $g_2(x,Q^2)$ in the framework of the operator product expansion. It is noted that the anomalous dimensions and coefficient functions for the twist-3 gluon-field-dependent operators depend on…

High Energy Physics - Phenomenology · Physics 2016-09-01 Yoshiaki Yasui

Using lattice QCD, we calculate the twist-2 contribution $a_2$ to the third Mellin moment of the spin structure functions $g_1$ and $g_2$ in the nucleon. In addition we evaluate the twist-3 contribution $d_2$. Our computations make use of…

High Energy Physics - Lattice · Physics 2022-03-23 S. Bürger , T. Wurm , M. Löffler , M. Göckeler , G. Bali , S. Collins , A. Schäfer , A. Sternbeck

We investigate the spin structure function $g_2 (x, Q^2 )$ in the framework of the operator product expansion and the renormalization group. The twist-3 operators appearing in QCD are examined and their relations are studied. It is noted…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro KODAIRA , Tsuneo UEMATSU , Yoshiaki Yasui

Using the framework of QCD sum rules we predict the twist-3 contribution to the second moment of the polarized nucleon structure function $g_2(x)$. As the relevant local operator depends explicitely on the gluon field, we employ a recently…

High Energy Physics - Phenomenology · Physics 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

Quark mass effects are clarified in the parton model approach to the transversely polarized nucleon structure function. The special propagator technique is employed to obtain manifestly gauge invariant results and extract the buried…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kwei-Chou Yang , Hoi-Lai Yu

We perform a global analysis of neutron F2n structure function data, obtained by combining proton and deuteron measurements over a large range of kinematics. From these data the lowest moments (n <= 10) of the leading twist neutron F2n…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. Osipenko , W. Melnitchouk , S. Simula , S. Kulagin , G. Ricco

We study the twist-3 spin-orbit correlations of quarks described by the nucleon matrix elements of the parity-odd rank-2 tensor QCD operator (the parity-odd partner of the QCD energy-momentum tensor). Our treatment is based on the effective…

High Energy Physics - Phenomenology · Physics 2024-03-13 June-Young Kim , Ho-Yeon Won , Hyun-Chul Kim , Christian Weiss

We review the nucleon's twist-3 polarized structure functions from the viewpoint of gauge invariant, nonlocal light-cone operators in QCD. We discuss a systematic treatment of the polarized structure functions and the corresponding parton…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiro Kodaira , Kazuhiro Tanaka

The nucleon has been used as a laboratory to investigate its own spin structure and Quantum Chromodynamics. New experimental data on nucleon spin structure at low to intermediate momentum transfers combined with existing high momentum…

Nuclear Experiment · Physics 2009-11-11 J. -P. Chen , A. Deur , Zein-Eddine Meziani

We point out that the kinematical twist-3 contributions to the DVCS amplitude, required to restore electromagnetic gauge invariance of the twist-2 amplitude up to O(t/q^2), can be understood as a spin rotation applied to the twist-2 quark…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Radyushkin , C. Weiss

Available analyses on moments of the spin structure function g_1 use different methods and are barely consistent with each other. We present a higher twist analysis of Gamma_1^p using a method consistent with the studies of Gamma_1^n and…

Nuclear Experiment · Physics 2007-05-23 A. Deur

The size of higher twist corrections to the spin proton and neutron g1 structure functions and their role in determining the polarized parton densities in the nucleon is discussed.

High Energy Physics - Phenomenology · Physics 2017-08-23 Elliot Leader , Alexander V. Sidorov , Dimiter B. Stamenov

Target mass correction (TMC) is being used to improve the theoretical results for the nucleon structure functions. This improvement makes the fitting more reliable with the available experimental data in lepton scattering off the nucleon .…

High Energy Physics - Phenomenology · Physics 2014-09-02 M. M. Yazdanpanah , R. Mohammadi pour , A. Mirjalili

The phase equivalent relativistic NN potential, which is related by a nonlinear equation to the original nonrelativistic potential, is used to construct the mass operator (rest Hamiltonian) of the 3-nucleon system. Employing the CD Bonn NN…

Nuclear Theory · Physics 2015-05-13 H. Kamada , W. Gloeckle , H. Witala , J. Golak , R. Skibinski , W. Polyzou , Ch. Elster

The higher twist corrections $h^N(x)/Q^2$ to the spin dependent proton and neutron $g_1$ structure functions are extracted from the world data on $g_1(x,Q^2)$ in a model independent way and found to be non-negligible. Their role in…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Leader , A. V. Sidorov , D. B. Stamenov

We investigate the gravitational form factors (GFFs) of the nucleon and the baryon octet, decomposed into their flavor components, utilizing a pion mean-field approach grounded in the large $N_c$ limit of Quantum Chromodynamics (QCD). Our…

High Energy Physics - Phenomenology · Physics 2024-04-16 Ho-Yeon Won , Hyun-Chul Kim , June-Young Kim

These proceedings contain the 'physical' derivation of the Wandzura-Wilczek relations for the spin-dependent structure function g2 (amounting to keeping the intrinsic transverse momentum of quarks, and neglecting the physical transverse…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

In order to interpret precise measurements of molecular properties the finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is shown that they can be obtained systematically in the perturbative…

Chemical Physics · Physics 2015-05-14 Krzysztof Pachucki

Nucleon structure study is one of the most important research areas in modern physics and has challenged us for decades. Spin has played an essential role and often brought surprises and puzzles to the investigation of the nucleon structure…

Nuclear Experiment · Physics 2011-01-28 Jian-ping Chen