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Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

The scattering solutions of the one-dimensional Schrodinger equation for the Woods-Saxon potential are obtained within the position-dependent mass formalism. The wave functions, transmission and reflection coefficients are calculated in…

Quantum Physics · Physics 2015-05-20 Altug Arda , Oktay Aydogdu , Ramazan Sever

We determine the energy-dependent amplitude for elastic {\pi}{\pi} P-wave scattering in isospin-1 by computing part of the discrete energy spectrum of QCD in finite cubic boxes. We observe a rapidly rising phase shift that can be well…

High Energy Physics - Phenomenology · Physics 2014-10-24 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We present the results of fitting all data for $pp$ and $\bar pp$ scattering at $\sqrt s \geq 9.7$ Gev and up to the collider energy with various analytic parametrizations of the elastic forward scattering amplitudes based on the derivative…

High Energy Physics - Phenomenology · Physics 2009-09-25 Kyungsik Kang , Sung Ku Kim

In the framework of Anisotropic Chromo Dynamics, a non-perturbative model of QCD based on magnetic condensation in the vacuum, we develope a picture of the Pomeron. Within this model we are able to calculate the diffractive contribution to…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Dick , V. Karapetian , R. Barni , G. Preparata

Total and differential cross sections for high energy and small momentum transfer elastic hadron-hadron scattering are studied in QCD using a functional integral approach. The hadronic amplitudes are governed by vacuum expectation values of…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. R. Berger , O. Nachtmann

In this paper we develop a QCD motivated model for both hard and soft interactions at high energies. In this model the long distance behavior of the scattering amplitude is determined by the approximate solution to the non-linear evolution…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. Kormilitzin , E. Levin

Electron-deuteron elastic scattering data ($A(Q^2)$ and $B(Q^2)$ structure functions and polarization observables $t_{20}$, $t_{21}$ and $t_{22}$) are fit with a model that respects asymptotic properties of pQCD at high momentum transfer.…

Nuclear Theory · Physics 2024-12-31 A. P. Kobushkin , Ya. D. Krivenko

Advantage is taken of the arbitrariness in energy reference to consider anew integral transcriptions of Schrodinger's equation in the presence of potentials which at infinity acquire constant, nonvanishing values. It is found possible to…

Classical Analysis and ODEs · Mathematics 2020-06-08 Jan A. Grzesik

Inspired by the new TOTEM data on elastic $pp$ scattering at 13 TeV, we study the possibility to describe all the diffractive collider data ($\sigma_{\rm tot}, d\sigma_{\rm el}/dt$, $\rho\equiv$Re$A$/Im$A$, \sd) in a wide interval of energy…

High Energy Physics - Phenomenology · Physics 2018-10-17 V. A. Khoze , A. D. Martin , M. G. Ryskin

The QCD analysis of deep inelastic diffractive scattering is performed assuming the dominance of the "soft" pomeron exchange and simple, physically motivated parametrization of parton distributions in a pomeron. Results of the analysis are…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Golec-Biernat , J. Kwiecinski

This paper is concerned with the inverse elastic scattering problem for a random potential in three dimensions. Interpreted as a distribution, the potential is assumed to be a microlocally isotropic Gaussian random field whose covariance…

Analysis of PDEs · Mathematics 2021-02-16 Jianliang Li , Peijun Li , Xu Wang

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

Approximate relations among transverse momentum dependent quark distribution functions are established in the framework of the QCD parton model. The validity of such results survives QCD evolution effects, owing to the Politzer theorem on…

High Energy Physics - Phenomenology · Physics 2011-08-01 Elvio Di Salvo

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

Singular factors originating from the QCD factorisation of scattering amplitudes in soft and collinear limits play a prominent role in both organising and computing high-order perturbative contributions to hard-scattering cross sections. In…

High Energy Physics - Phenomenology · Physics 2022-08-16 Prasanna K. Dhani

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

We review some of the modern approaches to scattering amplitude computations in QCD and their application to precision LHC phenomenology. We emphasise the usefulness of momentum twistor variables in parameterising general amplitudes.

High Energy Physics - Phenomenology · Physics 2016-12-21 Simon Badger

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

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh
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