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We study exact solutions of Dirac and Klein-Gordon equations and Green functions in d-dimensional QED and in an external electromagnetic field with constant and homogeneous field invariants. The cases of even and odd dimensions are…

High Energy Physics - Theory · Physics 2016-09-06 S. P. Gavrilov , D. M. Gitman , A. E. Goncalves

It is shown that the nuclear shadowing of charmonium due to the modification of the nuclear parton distribution is similar in the factorization approach based on non relativistic QCD and in the color evaporation model. In the first model, a…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Pajares , C. A. Salgado , Yu. M. Shabelski

Nuclear deep inelastic scattering is considered in the framework of a model in which the current operator explicitly satisfies Poincare invariance and current conservation. The results considerably differ from the standard ones at small…

High Energy Physics - Phenomenology · Physics 2009-10-28 Felix M. Lev

We discuss what is, at best, an ambiguity, and possibly an inconsistency of the eikonal Color Glass Condensate (CGC) description of Deep Inelastic Scattering (DIS). In this framework, the Bjorken-$x$ dependence enters the cross section…

High Energy Physics - Phenomenology · Physics 2026-04-16 Benjamin Guiot

The gluon distribution in nuclei plays a pivotal role in understanding quantum chromodynamics (QCD) under extreme nuclear environments, yet remains poorly constrained compared to quark distributions. Coherent \jpsi photoproduction in…

High Energy Physics - Phenomenology · Physics 2025-02-14 Pengzhong Lu , Zebo Tang , Xin Wu , Wangmei Zha

Green's function plays a significant role in both theoretical analysis and numerical computing of partial differential equations (PDEs). However, in most cases, Green's function is difficult to compute. The troubles arise in the following…

Machine Learning · Computer Science 2022-04-29 Guochang Lin , Fukai Chen , Pipi Hu , Xiang Chen , Junqing Chen , Jun Wang , Zuoqiang Shi

Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well beyond the light sector that had been traditionally targeted in the…

Nuclear Theory · Physics 2020-10-09 Vittorio Somà

The QCD factorization theorem for diffractive processes in DIS is used to derive formulae for the leading twist contribution to the nuclear shadowing of parton distributions in the low thickness limit. Based on the current analyzes of…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Frankfurt , M. Strikman

Shadowing is a quantum phenomenon leading to a non-additivity of electroweak cross sections on nucleons bound in a nucleus. It occurs due to destructive interference of amplitudes on different nucleons. Although the current experimental…

High Energy Physics - Phenomenology · Physics 2012-11-26 B. Z. Kopeliovich , J. G. Morfin , Ivan Schmidt

Nonequilibrium Green's functions represent a promising tool for describing central nuclear reactions. Even at the single-particle level, though, the Green's functions contain more information that computers may handle in the foreseeable…

Nuclear Theory · Physics 2015-05-13 Pawel Danielewicz , Arnau Rios , Brent Barker

The QCD expectations for the behaviour of the deep inelastic scattering structure functions in the region of small values of the Bjorken parameter $x$ are summarized. The Balitzkij, Lipatov, Fadin, Kuraev (BFKL) equation which sums the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski

I discuss the relation between the nuclear response and the Green function describing the propagation of a nucleon in the nuclear medium. Within this formalism, the widely used expressions in terms of spectral functions can be derived in a…

Nuclear Theory · Physics 2008-11-26 Omar Benhar

Gribov theory is applied to investigate the shadowing effects in the structure functions of nuclei. In this approach these effects are related to the process of diffractive dissociation of a virtual photon. A model for this diffractive…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. Capella , A. Kaidalov , C. Merino , D. Pertermann , J. Tran Thanh Van

We consider the problem of shadowing for differential equations with grow-up. We introduce so-called nonuniform shadowing properties (in which size of the error depends on the point of the phase space) and prove for them analogs of…

Dynamical Systems · Mathematics 2014-09-25 Alexey Osipov

The studies of Dyson-Schwinger Equations (DSEs) provide us with insights into nonperturbative phenomenon of quantum field theory. However, DSEs are essentially an infinite set of coupled Green's functions, it's necessary to decouple parts…

High Energy Physics - Phenomenology · Physics 2015-01-06 Wei Wei , Pei-lin Yin , Hong-shi Zong

We investigate the influence of a time dependent, homogeneous electric field on scattering properties of non-interacting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green's function in two…

Disordered Systems and Neural Networks · Physics 2009-10-30 Tobias Brandes

The nucleon structure function $F_2^N$ computed in a holographic framework can be used to describe nuclear deep inelastic scattering effects provided that a rescaling of the $Q^2$ momentum and of the IR hard-wall parameter $z_0$ is made.…

High Energy Physics - Phenomenology · Physics 2014-02-20 L. Agozzino , P. Castorina , P. Colangelo

We present a calculation of the spectral properties of a single charge doped at a Cu($3d$) site of the Cu-F plane in KCuF$_{3}$. The problem is treated by generating the equations of motion for the Green's function by means of subsequent…

Strongly Correlated Electrons · Physics 2016-12-26 Krzysztof Bieniasz , Mona Berciu , Andrzej M. Oleś

(Pseudo)spin symmetries play vital roles in nuclear physics and have been studied extensively in spherical nuclei. In this work, possible spin and pseudospin symmetries in deformed nuclei are examined by solving a coupled-channel Dirac…

Nuclear Theory · Physics 2024-06-19 Ting-Ting Sun , Bing-Xin Li , Kun Liu

We have used the notion of the constituent quark model of nucleon, where a constituent quark carries its own internal structure, and applied it to determine nuclear structure functions ratios. It is found that the description of…

Nuclear Theory · Physics 2007-05-23 Firooz Arash , Shahin Atashbar-Tehrani