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A review of recent nucleon structure calculations within lattice QCD is presented. The nucleon excited states, the axial charge, the isovector momentum fraction and helicity distribution are discussed, assessing the methods applied for…

High Energy Physics - Lattice · Physics 2022-03-02 C. Alexandrou , M. Constantinou , V. Drach , K. Hatziyiannakou , K. Jansen , C. Kallidonis , G. Koutsou , T. Leontiou , A. Vaquero

We present a numerical lattice quantum chromodynamics calculation of isovector form factors and the first few moments of the isovector structure functions of the nucleon. The calculation employs two degenerate dynamical flavors of…

High Energy Physics - Lattice · Physics 2008-12-18 Huey-Wen Lin , Tom Blum , Shigemi Ohta , Shoichi Sasaki , Takeshi Yamazaki

Using the most general form of the nucleon interpolating current, we calculate the tensor form factors of the nucleon within light cone QCD sum rules. A comparison of our results on tensor form factors with those of the chiral--soliton…

High Energy Physics - Phenomenology · Physics 2015-05-30 T. M. Aliev , K. Azizi , M. Savci

We report isovector form factors and low moments of structure functions of nucleon in numerical lattice quantum chromodynamics (QCD) from the on-going calculations by the RIKEN-BNL-Columbia (RBC) and UKQCD Collaborations with (2+1)…

High Energy Physics - Lattice · Physics 2012-08-27 UKQCD Collaboration , Takeshi Yamazaki , Shigemi Ohta

We extract the isovector tensor nucleon form factors, which play an important role in understanding the transverse spin structure of the nucleon when related to the quark helicity-flip generalized parton distributions via their first…

High Energy Physics - Phenomenology · Physics 2011-10-10 Guray Erkol , Altug Ozpineci

We present results on the nucleon axial and induced pseudo-scalar form factors using an ensemble of two degenerate twisted mass clover-improved fermions generated at the physical value of the pion mass. We evaluate the isovector and the…

We determine generalized form factors of the nucleon from lattice simulations with $N_f = 2$ mass-degenerate non-perturbatively improved Wilson-Sheikholeslami-Wohlert fermions down to a pion mass of 150 MeV. We also present the resulting…

High Energy Physics - Lattice · Physics 2016-01-20 Gunnar Bali , Sara Collins , Meinulf Göckeler , Rudolf Rödl , Andreas Schäfer , Andre Sternbeck

We investigate the isovector axial vector and pseudoscalar form factors of $\Delta$ baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Kucukarslan , U. Ozdem , A. Ozpineci

State-of-the-art lattice QCD simulations enable the evaluation of nucleon form factors and Mellin moments with controlled systematics, yielding results with unprecedented accuracy. At the same time, new theoretical approaches are allowing…

High Energy Physics - Lattice · Physics 2024-01-30 Constantia Alexandrou , Simone Bacchio

We present lattice-QCD results on the nucleon isovector axial, scalar and tensor charges, the isovector electromagnetic Dirac and Pauli form factors, and the connected parts of the isoscalar charges. The calculations have been done using…

High Energy Physics - Lattice · Physics 2014-05-14 Tanmoy Bhattacharya , Saul D. Cohen , Rajan Gupta , Anosh Joseph , Huey-Wen Lin , Boram Yoon

We present results for the isovector electromagnetic form factors of the nucleon computed on the CLS ensembles with $N_f=2+1$ flavors of $\mathcal{O}(a)$-improved Wilson fermions and an $\mathcal{O}(a)$-improved vector current. The analysis…

High Energy Physics - Lattice · Physics 2021-06-02 D. Djukanovic , T. Harris , G. von Hippel , P. M. Junnarkar , H. B. Meyer , D. Mohler , K. Ottnad , T. Schulz , J. Wilhelm , H. Wittig

We determine the generalized form factors, which correspond to the second Mellin moment (i.e., the first $x$-moment) of the generalized parton distributions of the nucleon at leading twist. The results are obtained using lattice QCD with…

High Energy Physics - Lattice · Physics 2019-07-30 Gunnar S. Bali , Sara Collins , Meinulf Göckeler , Rudolf Rödl , Andreas Schäfer , André Sternbeck

The electromagnetic form factors provide important insight into the internal structure of the nucleon and continue to be of major interest for experiment and phenomenology. For an intermediate range of momenta the form factors can be…

We present a direct calculation for the first derivative of the isovector nucleon form factors with respect to the momentum transfer $q^2$ using the lower moments of the nucleon 3-point function in the coordinate space. Our numerical…

High Energy Physics - Lattice · Physics 2021-10-27 Ken-Ichi Ishikawa , Yoshinobu Kuramashi , Shoichi Sasaki , Eigo Shintani , Takeshi Yamazaki

We present high statistics results for the isovector nucleon charges and form factors using seven ensembles of 2+1-flavor Wilson-clover fermions. The axial and pseudoscalar form factors obtained on each ensemble satisfy the PCAC relation…

High Energy Physics - Lattice · Physics 2022-03-23 Sungwoo Park , Rajan Gupta , Boram Yoon , Santanu Mondal , Tanmoy Bhattacharya , Yong-Chull Jang , Bálint Joó , Frank Winter

Proton and neutron electric and magnetic form factors are the primary characteristics of their spatial structure and have been studied extensively over the past half-century. At large values of the momentum transfer $Q^2$ they should reveal…

High Energy Physics - Lattice · Physics 2025-02-25 S. Syritsyn , M. Engelhardt , S. Krieg , J. Negele , A. Pochinsky

We report a calculation of the nucleon axial form factors $G_A^q(Q^2)$ and $G_P^q(Q^2)$ for all three light quark flavors $q\in\{u,d,s\}$ in the range $0\leq Q^2\lesssim 1.2\text{ GeV}^2$ using lattice QCD. This work was done using a single…

We present an update on our results of nucleon form factors measured on a large-volume lattice $(8.1\rm{fm})^4$ at almost the physical point in 2+1 flavor QCD. The configurations are generated with the stout-smeared $\mathcal{O}(a)$…

High Energy Physics - Lattice · Physics 2018-04-18 Natsuki Tsukamoto , Ken-Ichi Ishikawa , Yoshinobu Kuramashi , Shoichi Sasaki , Takeshi Yamazaki

We review recent results on hadron form factors and nucleon generalized parton distibutions obtained with dynamical lattice QCD simulations. We discuss lattice artifacts and open questions, and present the connection of lattice results to…

High Energy Physics - Lattice · Physics 2010-12-10 C. Alexandrou

Protons and neutrons have a rich structure in terms of their constituents, the quarks and gluons. Understanding this structure requires solving Quantum Chromodynamics (QCD). However QCD is extremely complicated, so we must numerically solve…

High Energy Physics - Lattice · Physics 2019-08-14 D. B. Renner , R. G. Edwards , G. Fleming , Ph. Hagler , J. W. Negele , K. Orginos , A. V. Pochinsky , D. G. Richards , W. Schroers