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We consider simple-pole descriptions of soft elastic scattering at small $t$ and $s$, and allow for the presence of a hard pomeron. We have built and analyzed an exhaustive dataset and we show that simple poles provide an excellent…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Martynov , J. R. Cudell , A. Lengyel

An inclusion of sharp resonant $0_3^+$ state of $^{16}$O and first excited $2_1^+$ state of $^{12}$C in a study of $s$-wave elastic $\alpha$-$^{12}$C scattering at low energies is investigated in an effective Lagrangian approach. The…

Nuclear Theory · Physics 2020-09-16 Shung-Ichi Ando

This paper discusses the elastic behavior of a single polyelectrolyte chain. A simple scaling analysis as in self avoiding walk chains are not possible, because three interplaying relevant length scales are involved, i.e., the Debye…

Statistical Mechanics · Physics 2009-10-30 P. Haronska , J. Wilder , T. A. Vilgis

Dynamical systems describe the changes in processes that arise naturally from their underlying physical principles, such as the laws of motion or the conservation of mass, energy or momentum. These models facilitate a causal explanation for…

Methodology · Statistics 2023-10-11 Michelle Carey , James O. Ramsay

The explicit formulae for radiative correction (RC) calculation for elastic $ep$-scattering is presented. Two typical measurements of polarization observables such as beam-target asymmetry or recoil proton polarization, are considered.…

High Energy Physics - Phenomenology · Physics 2019-08-17 A. Afanasev , I. Akushevich , N. Merenkov

We introduce a recipe to estimate the low-energy scattering parameters of a quantum few-body system - scattering length, effective range, and shape parameter - by using only discrete state calculations. We place the system in an artificial…

Nuclear Theory · Physics 2025-08-12 D. V. Fedorov , A. M. Pedersen

In the absence of a global description of the experimental data on elastic and soft diffractive scattering from the first principles of QCD, model-independent analyses may provide useful phenomenological insights for the development of the…

High Energy Physics - Phenomenology · Physics 2016-03-08 D. A. Fagundes , M. J. Menon , P. V. R. G. Silva

In a previous work a novel parametrization was proposed for the $pp$ and $\bar{p}p$ total cross section. Here, results are presented for analysis updated with taken into account the recent data from accelerator experiments as well as from…

High Energy Physics - Phenomenology · Physics 2017-10-17 V. A. Okorokov , S. D. Campos

An almost model-independent parametrization for the ratio of the total cross section to the elastic slope, as function of the center of mass energy, is introduced. The analytical result is based on the approximate relation of this quantity…

High Energy Physics - Phenomenology · Physics 2012-02-02 D. A. Fagundes , M. J. Menon

We discuss the unitarity motivated relations among the elastic cross-section, slope parameter and inelastic cross-section of the high energy \textit{pp} interaction. In particular, the MacDowell-Martin unitarity bound is written down in…

High Energy Physics - Phenomenology · Physics 2018-09-26 A. P. Samokhin

Different computational methods are employed to evaluate elastic (rotationally summed) integral and differential cross sections for low energy (below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The computations are…

Chemical Physics · Physics 2009-11-13 J. Franz , F. A. Gianturco , K. L. Baluja , J. Tennyson , R. Carey , R. Montuoro , R. R. Lucchese , T. Stoecklin

We analyse pp elastic scattering data at the highest accelerator energy region (between 10 and 63 GeV) through a multiple diffraction approach. The use of Martin's formula in a model developed earlier is substituted by the introduction of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. F. Martini , M. J. Menon

What range of momentum components in the deuteron wave function are available e d elastic scattering data sensitive to ? This question is addressed within the context of a model calculation of the deuteron form factors, based on realistic…

Nuclear Theory · Physics 2014-11-18 R. Schiavilla , V. R. Pandharipande

We present the systematic analysis of the behavior of elastic pp scattering cross section in the region of the diffraction peak and the first diffraction minimum in the framework of quasi-eikonal Gribov-Regge approach, taking into account…

High Energy Physics - Phenomenology · Physics 2016-01-26 V. N. Kovalenko , A. M. Puchkov , V. V. Vechernin , D. V. Diatchenko

The proton analysing power in $\vec{p}p$ elastic scattering has been measured at small angles at COSY-ANKE at 796 MeV and five other beam energies between 1.6 and 2.4 GeV using a polarised proton beam. The asymmetries obtained by detecting…

The commonly used West and Yennie integral formula for the relative phase between the Coulomb and elastic hadronic amplitudes requires for the phase of the elastic hadronic amplitude to be constant at all kinematically allowed values of t.…

High Energy Physics - Phenomenology · Physics 2007-12-11 Vojtech Kundrat , Jan Kaspar , Milos Lokajicek

Odderon is the $C$-odd amplitude that does not fall (or decrease very slowly) with energy. The expected amplitude is small and mainly real. Therefore, extracting it from the data on top of a much larger $C$-even contribution is challenging.…

High Energy Physics - Phenomenology · Physics 2024-11-26 E. G. S. Luna , M. G. Ryskin , V. A. Khoze

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.6 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to…

Nuclear Theory · Physics 2009-09-29 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

The polarization properties of the elastic electron scattering on H-like ions are investigated within the framework of the relativistic QED theory. The polarization properties are determined by a combination of relativistic effects and spin…

Atomic Physics · Physics 2021-11-24 D. M. Vasileva , K. N. Lyashchenko , A. B. Voitkiv , D. Yu , O. Yu. Andreev

We consider the elastic scattering in deformed space with minimal length. We give the basic relation for the elastic scattering in deformed space. We also investigate the partial wave method in deformed space. It is shown that the relations…

Mathematical Physics · Physics 2009-12-18 M. M. Stetsko