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The nonlinear evolution equation for the scattering amplitude of colour dipole off the heavy nucleus is solved in the double logarithmic approximation. It is found that if the initial parton density in a nucleus is smaller then some…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Levin , K. Tuchin

We study the shadowing effect in highly asymmetric diffractive interactions of left-handed and right-handed W-bosons with atomic nuclei. The target nucleus is found to be quite transparent for the charmed-strange Fock component of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Fiore , V. R. Zoller

I present a simplified model for the gluon Green's function governing high-energy QCD dynamics, in arbitrary space-time dimensions. The BFKL integral equation (either with or without running coupling) reduces to a second order differential…

High Energy Physics - Phenomenology · Physics 2009-02-18 Dimitri Colferai

The coherence of multiscattering quark nuclear processes leads to shadowing and antishadowing of the electromagnetic nuclear structure functions in agreement with measurements. This picture leads to substantially different antishadowing for…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ivan Schmidt

Nuclear deep inelastic structure functions F_2^A(x,Q^2) as well as parton distribution functions in a nuclei are investigated in the framework of rescaling model. Our analysis is based on analytical expressions for quark and gluon densities…

High Energy Physics - Phenomenology · Physics 2024-04-11 A. V. Kotikov , A. V. Lipatov , P. M. Zhang

A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in…

Analysis of PDEs · Mathematics 2024-01-17 Tsviatko V. Rangelov , Petia S. Dineva , George D. Manolis

Nonequilibrium Green's functions represent underutilized means of studying the time evolution of quantum many-body systems. In view of a rising computer power, an effort is underway to apply the Green's functions formalism to the dynamics…

Nuclear Theory · Physics 2008-11-26 Arnau Rios , Pawel Danielewicz

A quantitative understanding of neutrino-nucleus interactions is demanded to achieve precise measurement of neutrino oscillations, and hence the determination of their masses. In addition, next generation detectors will be able to detect…

Nuclear Theory · Physics 2016-12-21 Alessandro Lovato

We study quantitatively the importance of the recently derived NLO corrections to the DIS structure functions at small x in the dipole formalism. We show that these corrections can be significant and depend on the factorization scheme used…

High Energy Physics - Phenomenology · Physics 2017-11-29 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

We calculate the energy dependence of inclusive and diffractive neutrino-nucleus deep-inelastic scattering cross sections within the dipole picture, focusing on the ultra-high-energy regime. We predict an up to $\sim 10\%$ nuclear…

High Energy Physics - Phenomenology · Physics 2024-09-26 Anh Dung Le , Heikki Mäntysaari

Spectroscopic and optical properties of nanosystems and point defects are discussed within the framework of Green's function methods. We use an approach based on evaluating the self-energy in the so-called GW approximation and solving the…

Materials Science · Physics 2009-11-11 Murilo L. Tiago , James R. Chelikowsky

In this paper we re-analyse the situation with the shadowing corrections (SC) in QCD for the proton deep inelastic structure functions. We reconsider the Glauber - Mueller approach for the SC in deep inelastic scattering (DIS) and suggest a…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. L. Ayala Filho , M. B. Gay Ducati , E. M. Levin

Compact and well defined formulae for the shadow of the virtual photon interacting with a large nucleus at small $x_{Bj}$ are given in the QCD dipole picture. Two classes of contributions are considered: (a) quasi-elastic interaction of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bialas , W. Czyz

Partial differential equations are often used to model various physical phenomena, such as heat diffusion, wave propagation, fluid dynamics, elasticity, electrodynamics and image processing, and many analytic approaches or traditional…

Machine Learning · Computer Science 2022-09-21 Yuankai Teng , Xiaoping Zhang , Zhu Wang , Lili Ju

The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

A completely antisymmetrized Green's function approach to the inclusive quasielastic $(e,e')$ scattering, including a realistic one-body density, is presented. The single particle Green's function is expanded in terms of the eigenfunctions…

Nuclear Theory · Physics 2009-11-10 F. Capuzzi , C. Giusti , F. D. Pacati , D. N. Kadrev

We consider deep inelastic scattering (DIS) on a nucleus described using a density expansion. In leading order, the scattering is dominated by the incoherent scattering on individual nucleons distributed using the Thomas-Fermi…

High Energy Physics - Phenomenology · Physics 2019-08-28 Kiminad A. Mamo , Ismail Zahed

When probed at very high energies or small Bjorken x_bj, QCD degrees of freedom manifest themselves as a medium of dense gluon matter called the Color Glass Condensate. Its key property is the presence of a density induced correlation…

High Energy Physics - Phenomenology · Physics 2009-09-29 Heribert Weigert

The Green's functions of QCD encode important information about the infrared dynamics of the theory. The main non-perturbative tools used to study them are their own equations of motion, known as Schwinger-Dyson equations, and large-volume…

High Energy Physics - Phenomenology · Physics 2014-11-20 Joannis Papavassiliou

The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude…

Nuclear Theory · Physics 2009-11-10 Takashi Nakatsukasa , Kazuhiro Yabana
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