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A simple phenomenological introduction to the physics of multi-pomeron exchange amplitudes in connection with the Abramovski-Gribov-Kancheli (AGK) cutting rules is given. The AGK cutting rules are applied to obtain qualitative and…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. W. Bopp , R. Engel , A. Rostovtsev

In this work the process of elastic hadron scattering is discussed. In particular, scattering amplitudes for the various Pomeron models are compared. In addition, differential elastic cross section as a function of the scattered proton…

High Energy Physics - Phenomenology · Physics 2017-08-10 P. Erland , R. Staszewski , M. Trzebinski , R. Kycia

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

In-medium ${\bar K}N$ scattering amplitudes developed within a new chirally motivated coupled-channel model due to Cieply and Smejkal that fits the recent SIDDHARTA kaonic hydrogen 1s level shift and width are used to construct $K^-$…

Nuclear Theory · Physics 2012-06-08 D. Gazda , J. Mares

In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equations of motion for the surface and transverse dynamics…

The role of models in Quantum Chromodynamics is to produce simple physical pictures that connect the phenomenological regularities with the underlying structure. The static properties of hadrons have provided experimental input to define a…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vicente Vento

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both…

Atomic Physics · Physics 2018-09-27 A. S. Baltenkov , S. T. Manson , A. Z. Msezane

Pion-kaon ($\pi K$) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of $\pi K$ scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in…

High Energy Physics - Phenomenology · Physics 2021-05-19 Leon von Detten , Frederic Noël , Christoph Hanhart , Martin Hoferichter , Bastian Kubis

A review on the requirements of chiral symmetry on effective quark models is presented. The connection between the pion Salpeter amplitude and the mass gap equation is discussed. Hadronic scattering, notably, $\pi\pi$ scattering is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. E. Ribeiro

We obtain L2-series solutions of the nonrelativistic three-dimensional wave equation for a large class of non-central potentials that includes, as special cases, the Aharonov-Bohm, Hartmann, and magnetic monopole potentials. It also…

Quantum Physics · Physics 2009-11-10 A. D. Alhaidari

We construct the potentials that describe the spectrum and decay of electromagnetic bound states of hadrons, and are consistent with ChPT. These potentials satisfy the matching condition which enables one to express the parameters of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Lipartia , V. E. Lyubovitskij , A. Rusetsky

The need to determine scattering amplitudes of few-hadron systems for arbitrary kinematics expands a broad set of subfields of modern-day nuclear and hadronic physics. In this work, we expand upon previous explorations on the use of…

High Energy Physics - Lattice · Physics 2024-07-31 Marco A. Carrillo , Raúl A. Briceño , Alexandru M. Sturzu

The low-energy antineutrino- and neutrino-nucleon neutral current elastic scattering is studied within the framework of the relativistic SU(2) baryon chiral perturbation theory up to the order of $\mathcal{O}(p^3)$. We have derived the…

High Energy Physics - Phenomenology · Physics 2024-03-27 Jin-Man Chen , Ze-Rui Liang , De-Liang Yao

It is shown that a relativistic multiple scattering theory for hadron-nucleus scattering can be consistently formulated in four-dimensions in the context of meson exchange. We give a multiple scattering series for the optical potential and…

Nuclear Theory · Physics 2008-11-26 Khin Maung Maung , John W. Norbury , Trina Coleman

The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a…

High Energy Physics - Phenomenology · Physics 2023-06-27 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

Low energy proton-proton scattering is studied in pionless effective field theory. Employing the dimensional regularization and MS-bar and power divergence subtraction schemes for loop calculation, we calculate the scattering amplitude in…

Nuclear Theory · Physics 2008-11-26 Shung-ichi Ando , Jae Won Shin , Chang Ho Hyun , Seung Woo Hong

We discuss the general behavior of the near-threshold scattering amplitude with channel couplings. The signal of the exotic hadrons near the threshold may manifest as a dip structure in the cross section originated from a zero point of the…

High Energy Physics - Phenomenology · Physics 2025-03-04 Katsuyoshi Sone , Tetsuo Hyodo

A general expression for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge potential is obtained within the time independent formalism. The result is valid also in the backward and forward directions…

High Energy Physics - Theory · Physics 2009-10-28 Paola Giacconi , Fabio Maltoni , Roberto Soldati

Hadron structure from high-Q^2 gamma^* p scattering processes is often expressed in terms of hadronic matrix elements of nonlocal operators. Properly defining and interpreting these quantities is very important in light of experiments…

High Energy Physics - Phenomenology · Physics 2009-11-10 Daniel Boer

We study the scattering of J/$\Psi$-J/$\Psi$ mesons using Quadratic and Cornell potentials in our tetraquark ($c$$\bar{c}$$c$$\bar{c}$) system. The system's wavefunction in the restricted gluonic basis is written by utilizing adiabatic…

High Energy Physics - Phenomenology · Physics 2020-10-16 M. Imran Jamil , S. M. Sohail Gilani , Ahmad Wasif , Abdul Sattar Khan , Ahmad Awan