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This is the first of two papers in which we study real and virtual photon-proton scattering in a nonperturbative framework. We classify different contributions to this process and identify the leading contributions at high energies. We then…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Ewerz , Otto Nachtmann

We introduce a setting based on the one-dimensional (1D) nonlinear Schroedinger equation (NLSE) with the self-focusing (SF) cubic term modulated by a singular function of the coordinate, |x|^{-a}. It may be additionally combined with the…

Pattern Formation and Solitons · Physics 2015-06-04 Olga V. Borovkova , Valery E. Lobanov , Boris A. Malomed

We present numerical results on diffractive dissociation with large invariant mass diffractive final states in the scattering of an electron off a hadron. The diffractive large-mass resummation is performed using the nonlinear…

High Energy Physics - Phenomenology · Physics 2023-08-15 Tuomas Lappi , Anh Dung Le , Heikki Mäntysaari

Supersymmetric orientifolds of four dimensional Gepner Models are constructed in a systematic way. For all levels of the Gepner model being odd the generic expression for both the A-type and the B-type Klein bottle amplitude is derived. The…

High Energy Physics - Theory · Physics 2009-11-10 Ralph Blumenhagen

The model-independent radiative corrections to deep-inelastic scattering of unpolarized electron beam off the tensor polarized deuteron target have been considered. The contribution to the radiative corrections due to the hard-photon…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. I. Gakh , O. Shekhovtsova

We continue our studies of possible generalization of the Color Glass Condensate (CGC) effective theory of high energy QCD to include the high $p_t$ (or equivalently large $x$) QCD dynamics as proposed in [JJM-elastic]. Here we consider…

High Energy Physics - Phenomenology · Physics 2019-02-06 Jamal Jalilian-Marian

We evaluate the amplitude of Bethe-Heitler process: \gamma^* p -> \gamma \Delta^+ -electron bremsstrahlung of photon accompanied by the excitation of \Delta$ isobar. We show that this background is suppressed at small momentum transfer…

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

We study the dipole picture for the description of the deep inelastic scattering, focusing on the structure functions which are driven directly by the gluon distribution. One performs estimates using the effective dipole cross section given…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. B. Gay Ducati , M. V. T. Machado

The 1/N_c expansion of QCD provides a valuable semiquantitative tool to study baryon scattering amplitudes and the short-lived baryon resonances embedded within them. A generalization of methods originally applied in chiral soliton models…

High Energy Physics - Phenomenology · Physics 2017-08-23 Richard F. Lebed

In this work, we discuss the way in which electric and magnetic dipole resonances arising in the optical scattering spectrum of non-absorbing dielectric nanospheres can be accurately approximated by means of simple explicit expressions that…

Optics · Physics 2022-02-03 F. López-Tejeira

We discuss some Z_N^L x Z_N^R orbifold compactifications of the type IIB superstring to D= 4,6 dimensions and their type I descendants. Although the Z_N^L x Z_N^R generators act asymmetrically on the chiral string modes, they result into…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Jose' F. Morales , Gianfranco Pradisi

Within the framework of a high-twist approach, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the transverse momentum broadening in semi-inclusive hadron production in deeply inelastic $e+A$ collisions, as well…

High Energy Physics - Phenomenology · Physics 2014-03-19 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

We show that the HERA data for the inclusive structure function F_2(x,Q^2) for x < 0.01 and 0.045 < Q^2 < 45 GeV^2 can be well described within the color dipole picture, with a simple analytic expression for the dipole-proton scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , K. Itakura , S. Munier

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

High Energy Physics - Phenomenology · Physics 2010-11-19 Giovanni Antonio Chirilli

In this paper we examine the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a rapidly oscillating potential that is complex analytic in some neighborhood of the real line. Some of our results are…

Mathematical Physics · Physics 2022-04-15 Setsuro Fujiié , Nicholas Hatzizisis , Spyridon Kamvissis

For various compactly supported perturbations of the Laplacian in odd dimensions $n$, we prove a sharp upper bound of the resonance counting function $N(r)$ of the type $N(r) \le A_n r^n(1+o(1))$ with an explicit constant $A_n$. In a few…

Analysis of PDEs · Mathematics 2007-05-23 Plamen Stefanov

We show the role played by QCD evolution and skewedness effects in the DVCS cross section at large $Q^2$ within the color dipole description of the process at photon level. The dipole cross section is given by the saturation model, which…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. Favart , M. V. T. Machado

We rigorously derive multi-pulse interaction laws for the semi-strong interactions in a family of singularly-perturbed and weakly-damped reaction-diffusion systems in one space dimension. Most significantly, we show the existence of a…

Dynamical Systems · Mathematics 2013-01-21 Thomas Bellsky , Arjen Doelman , Tasso J. Kaper , Keith Promislow

We consider the scattering of two color dipoles (e.g., heavy quarkonium states) at low energy - a QCD analog of Van der Waals interaction. Even though the couplings of the dipoles to the gluon field can be described in perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Fujii , D. Kharzeev

We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola