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Solitons in nonlinear optics holds a special role both in theoretical and experimental studies. Several types of evolution equations are seen to govern different situation of physical relevance. One such is the existence of both resonant…

Exactly Solvable and Integrable Systems · Physics 2017-06-27 Arindam Chakraborty , A. Roy Chowdhury

We recover in QCD an amazingly simple relationship between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations for the first Mellin…

High Energy Physics - Phenomenology · Physics 2017-02-13 Bernd A. Kniehl , Anatoly V. Kotikov

Quantum chromodynamics (QCD) is the theory of strong interactions of quarks and gluons collectively called partons, the basic constituents of all nuclear matter. Its non-abelian character manifests in nature in the form of two remarkable…

High Energy Physics - Phenomenology · Physics 2021-08-24 Astrid Morreale , Farid Salazar

Point-proton density distributions are deduced for 130 stable nuclei from $^{7}\mathrm{Li}$ to $^{232}\mathrm{Th}$ from nuclear charge densities determined in elastic electron scattering. There are 171 cases are presented in model-dependent…

Nuclear Theory · Physics 2025-05-09 Tianyu Wu , Baohua Sun , Huihui Xie , Junyao Xu , Ge Guo

We study the small-$x$ evolution equation for the gluon generalized parton distribution (GPD) $E_g$ of the nucleon. It is shown that $E_g$ at vanishing skewness exhibits the Regge behavior identical to the BFKL Pomeron, despite its…

High Energy Physics - Phenomenology · Physics 2022-12-22 Yoshitaka Hatta , Jian Zhou

In this paper we study the description of saturation in Balitsky, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner (B-JIMWLK) picture when restricted to observables made up only from dipole operators. We derive a functional…

High Energy Physics - Phenomenology · Physics 2009-11-10 Romuald A. Janik

We examine elastic Compton scattering from the deuteron for photon energies ranging from zero to 100 MeV, using state-of-the-art deuteron wave functions and NN-potentials. Nucleon-nucleon rescattering between emission and absorption of the…

Nuclear Theory · Physics 2014-11-18 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

The helicity dependent parton distributions describe the number density of partons with given longitudinal momentum x and given polarization in a hadron polarized longitudinally with respect to its motion. After the discovery, more than 70…

High Energy Physics - Phenomenology · Physics 2011-11-01 Sergio Scopetta , Vicente Vento

Through a determination of the $S$-matrix element for the scattering of a localized colour dipole on a proton, we show that saturation effects can already be sizable at HERA. The saturation scale is found to be around 1-1.5 $GeV^2$ for the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Munier

We find that the evolution equation for the three-particle quark-gluon B-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large $N_c$ limit and can be solved exactly. The lowest anomalous…

High Energy Physics - Phenomenology · Physics 2015-11-04 V. M. Braun , A. N. Manashov , N. Offen

A generalized method to calculate the excitation-energy dependent parity ratio in the nuclear level density is presented, using the assumption of Poisson distributed independent quasi particles combined with BCS occupation numbers. It is…

Currently available estimates of the gluon-fusion effect in ultra-high energy neutrino-nucleon interactions as well as in DIS on protons suffer from uncertainty in defining the scattering profile function $\Gamma(b)$. Indeed, the area, $S$,…

High Energy Physics - Phenomenology · Physics 2011-11-03 R. Fiore , V. R. Zoller

We consider the perturbative description of saturation based on the nonlinear QCD evolution equation of Balitsky and Kovchegov (BK). Although the nonlinear corrections lead to saturation of the scattering amplitude locally in impact…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander Kovner , Urs Achim Wiedemann

The Liouville equation governing the evolution of the density matrix for an atomic/molecular system is expressed in terms of a commutator between the density matrix and the Hamiltonian, along with terms that account for decay and…

Quantum Physics · Physics 2015-06-17 M. S. Shahriar , Ye Wang , Subramanian Krishnamurthy , Y. Tu , G. S. Pati , S. Tseng

We analize the use of algorithms based in x-space for the solution of renormalization group equations of DGLAP-type and test their consistency by studying bounds among partons distributions - in our specific case Soffer's inequality and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alessandro Cafarella , Claudio Coriano' , Marco Guzzi

We discuss results from our global QCD analyses including nuclear data off deuterium from various measurements, as well as off $^3$H and $^3$He targets from the MARATHON experiment. We simultaneously determine the parton distribution…

High Energy Physics - Phenomenology · Physics 2023-12-05 S. I. Alekhin , S. A. Kulagin , R. Petti

We propose to modify the saturation model of Golec-Biernat and Wusthoff by including DGLAP evolution. We find considerable improvement for the total deep inelastic cross section, in particular in the large Q^2 region. The successful…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. Bartels , K. Golec-Biernat , H. Kowalski

In order to overcome the shortcoming of nonconservation of nuclear momentum existing in the original $Q^2$-rescaling model(O$Q^2$RM) and avoid introducing nuclear shadowing factor, we proposed a double $Q^2$-rescaling model(D$Q^2$RM) for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Zhenmin He , Xiaoxia Yao , Chungui Duan , Guanglie Li , Hongan Peng

Medium modification of parton fragmentation functions induced by multiple scattering and gluon bremsstrahlung is shown to describe the recent HERMES data in deeply inelastic scattering (DIS) very well, providing the first evidence of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Enke Wang , Xin-Nian Wang

We give a simple quantum mechanical formulation of the eikonal propagation approximation, which has been heavily used in recent years in problems involving hadronic interactions at high energy. This provides a unified framework for several…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alex Kovner , Urs Achim Wiedemann
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