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We review the status of lattice calculations of the deep-inelastic structure functions of the nucleon. In addition, we present some results on the pion and rho structure functions.

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Best , M. Göckeler , R. Horsley , L. Mankiewicz , H. Perlt , P. Rakow , A. Schäfer , G. Schierholz , S. Schramm , A. Schiller , P. Stephenson

In hadrons and nuclei at very small x, parton distributions saturate at a scale Q_s(x). Since the occupation number is large, and $Q_s(x)>>\Lambda_{QCD}$, classical weak coupling methods may be used to study this novel regime of non-linear…

High Energy Physics - Phenomenology · Physics 2011-04-15 Raju Venugopalan

I begin with a general discussion about importance of constructing a picture of the nucleon in terms of QCD degrees of freedom, emphasizing the role of spin structure functions. I then give a short overview on the theoretical and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

We describe a high statistics quenched QCD calculation of the moments of the polarized deep-inelastic structure functions g_1 and g_2 of the proton and neutron.

High Energy Physics - Lattice · Physics 2007-05-23 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

A covariant field theoretical approach to deep inelastic scattering on the deuteron is presented. The deuteron structure function is calculated in terms of the Bethe-Salpeter amplitude. Numerical calculations for the nucleon contribution…

Nuclear Theory · Physics 2011-07-19 A. Yu. Umnikov , L. P. Kaptari , K. Yu. Kazakov , F. C. Khanna

We present an improved method for handling off-shell effects in deep inelastic nuclear scattering. With a firm understanding of the effects of the nuclear wave function, including these off-shell corrections as well as binding and…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. D. Cothran , D. B. Day , S. Liuti

A review is presented on all higher order QCD corrections to deep inelastic structure functions. The implications of these corrections for polarized and unpolarized deep inelastic lepton-hadron scattering will be discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

We perform a parameter-free calculation for the high-energy proton-nucleus scattering based on the Glauber theory. A complete evaluation of the so-called Glauber amplitude is made by using the factorization of the single-particle wave…

Nuclear Theory · Physics 2019-03-27 S. Hatakeyama , W. Horiuchi

A QCD analysis of the world data on inclusive polarized deep inelastic scattering of leptons on nucleons is presented in leading and next-to-leading order. New parameterizations are derived for the quark and gluon distributions and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , H. Böttcher

By using a relativistic framework and accurate nuclear spectral functions we evaluate the ratio F_{3A}/AF_{3N} of deep inelastic neutrino scattering. Parametrizations of this ratio for different values of Q^2 are provided. These results…

Nuclear Theory · Physics 2007-05-23 E. Marco , E. Oset , S. K. Singh

We have initiated a programme to compute the lower moments of the unpolarised and polarised deep inelastic structure functions of the nucleon in the quenched approximation. We review our progress to date.

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We analyse the calculations of deep inelastic structure functions of free nucleons by QCD sum rules method,carried out by others.We present our results of calculation of the distribution of valence quarks in nucleon placed into the nuclear…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. G. Drukarev , M. G. Ryskin

We study deep-inelastic scattering from polarized nuclei within a covariant framework. A clear connection is established between relativistic and non-relativistic limits, which enables a rigorous derivation of convolution formulae for the…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. A. Kulagin , W. Melnitchouk , G. Piller , W. Weise

An introduction and summary is given of the main results achieved by working group 1: Structure Functions in Deep Inelastic Scattering at HERA. The prospects were discussed of future measurements of the structure functions $F_{2}, F_{L},…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , T. Doyle , F. Hautmann , M. Klein , A. Vogt

A systematic determination of the gluon distribution is of fundamental interest in understanding the parton structure of nuclei and the QCD dynamics. Currently, the behavior of this distribution at small $x$ (high energy) is completely…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. R. Cazaroto , F. Carvalho , V. P. Goncalves , F. S. Navarra

Nucleon structure functions are studied within the chiral soliton approach to the bosonized Nambu-Jona-Lasinio model. The valence quark approximation is employed which is justified for moderate constituent quark masses ($\sim$ 400 MeV) as…

High Energy Physics - Phenomenology · Physics 2016-09-01 H. Weigel , L. Gamberg , H. Reinhardt

We present the basic aspects of deep inelastic phenomena in the framework of the QCD parton model. After recalling briefly the standard kinematics, we discuss the physical interpretation of unpolarized and polarized structure functions in…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Bourrely , J. Soffer

Deep inelastic scattering of leptons off nuclear targets is analized within the convolution model taking into account nucleon-nucleon correlations. We show that in the nuclear medium nucleons are distributed according to a function that…

High Energy Physics - Phenomenology · Physics 2009-09-25 O. Benhar , S. Fantoni , G. I. Lykasov , N. V. Slavin

The interpretation of present and future neutrino experiments requires accurate theoretical predictions for neutrino-nucleus scattering rates. Neutrino structure functions can be reliably evaluated in the deep-inelastic scattering regime…

High Energy Physics - Phenomenology · Physics 2023-06-06 Alessandro Candido , Alfonso Garcia , Giacomo Magni , Tanjona Rabemananjara , Juan Rojo , Roy Stegeman