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We introduce a universal evolution equation for elastic scattering of hadrons, derived from Regge field theory (RFT) and solved in closed analytical form. The equation emerges from a complex logistic structure and evolves initial amplitude…

High Energy Physics - Phenomenology · Physics 2025-05-30 Anderson Kendi Kohara

We present an evaluation of box diagram for the elastic $ep$ scattering with proton in the intermediate state. Using analytic properties of the proton form factors we express the amplitude via twofold integral, which involves the form…

Nuclear Theory · Physics 2008-11-26 Dmitry Borisyuk , Alexander Kobushkin

We present a model for dihadron fragmentation functions, describing the fragmentation of a quark into two unpolarized hadrons. We tune the parameters of our model to the output of the PYTHIA event generator for two-hadron semi-inclusive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alessandro Bacchetta , Marco Radici

We show that elastic scattering $pp \to pp $ differential cross sections as function of the four-momentum transfer square $|t|$ have a universal property, such that the ratio of bump-to-dip positions is constant from the energies of the ISR…

High Energy Physics - Phenomenology · Physics 2024-06-05 Cristian Baldenegro , Michal Praszalowicz , Christophe Royon , Anna M. Stasto

A model of a three Pomeron contribution to high energy elastic $pp$ and $\bar p p$ scattering is proposed. The data are well described for all momenta ($0.01\le |t|\le 14. GeV^2$) and energies ($8.\le\sqrt{s}\le 1800. GeV$) ($\chi^2/{\rm…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Petrov , A. V. Prokudin

QCD is the theory of strong interactions and non-perturbative methods have been developed to address the confinement property of QCD. Many experimental measurements probe the confining dynamics, and it is well-known that hard scattering…

High Energy Physics - Phenomenology · Physics 2009-09-02 B. Pire , L. Szymanowski

In this work we devise a theoretical and computational method to compute the elastic scattering of electrons from a non-spherical potential, such as in the case of molecules and molecular aggregates. Its main feature is represented by the…

Chemical Physics · Physics 2023-01-18 Francesca Triggiani , Tommaso Morresi , Simone Taioli , Stefano Simonucci

We examine diffractive proton-proton scattering. Using a functional integral approach we derive the scattering amplitudes, which are governed by the expectation value of lightlike Wegner-Wilson loops. This expectation value is then…

High Energy Physics - Phenomenology · Physics 2009-10-31 Otto Nachtmann , Timo Paulus

We present the two-loop helicity amplitudes for the scattering of massless quarks in QCD. We use projector techniques to compute the coefficients of the general four-quark amplitude at up to two-loops in conventional dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. W. N. Glover

In a recent paper it was shown how quark scattering in a quenched, eikonal model led to a momentum-transfer dependent amplitude expressed in terms of Halpern's functional integral; and how the requirement of manifest gauge invariance…

High Energy Physics - Theory · Physics 2015-05-18 H. M. Fried , M. Gattobigio , T. Grandou , Y. -M. Sheu

Taking into account the electromagnetic and gravitational form factors, calculated from a new set of $t $-dependent GPDs, a new model is built. The real part of the hadronic amplitude is determined only through complex $s$. In the framework…

High Energy Physics - Phenomenology · Physics 2015-11-10 O. V. Selyugin

On the basis of the experimental data on diffractive processes in $\pi p$, $pp$ and $p \bar p$ collisions at intermediate, moderately high and high energies, we restore the scattering amplitude related to the $t$-channel exchange by vacuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. G. Dakhno , V. A. Nikonov

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

Atomic Physics · Physics 2022-08-01 A. S. Baltenkov , I. Woiciechowski

Thermalization of quark matter and antiquark matter is studied with quark-quark-antiquark as well as quark-antiquark-antiquark elastic scatterings. Squared amplitudes of qqqbar to qqqbar and qqbarqbar to qqbarqbar at order alpha_s^4 are…

Nuclear Theory · Physics 2008-11-26 Xiao-Ming Xu , Cheng-Cheng Ma , An-Qian Chen , H. J. Weber

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We revisit a discussion on the impact-parameter dependence of proton-proton elastic scattering amplitude with improved uncertainty calculation. This analysis allows to reveal the asymptotic properties of hadron interactions. New data…

High Energy Physics - Phenomenology · Physics 2018-11-20 A. Alkin , E. Martynov , O. Kovalenko , S. M. Troshin

In this paper, we present an improved parameterization of the elastic scattering of spin-0 particles, which is based on a dispersive representation for the inverse scattering amplitude. Besides being based on well known general principles,…

High Energy Physics - Phenomenology · Physics 2023-05-03 Igor Danilkin , Volodymyr Biloshytskyi , Xiu-Lei Ren , Marc Vanderhaeghen

Exclusive B decays can be factorized as convolutions of hard scattering amplitudes involving the weak interaction with universal hadron distribution amplitudes, thus providing a new QCD-based phenomenology. In addition, semi-leptonic decay…

High Energy Physics - Phenomenology · Physics 2016-11-23 Stanley J. Brodsky

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky

We present an extensive set of theoretical results for differential, integrated, and momentum transfer cross sections for the elastic scattering of electrons by zinc, cadmium, and mercury. This study extends the application of our method of…

Atomic Physics · Physics 2026-05-20 Mehrdad Adibzadeh , Constantine E. Theodosiou