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A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the…

Analysis of PDEs · Mathematics 2024-03-21 Lukas Abel , Janusz Ginster , Barbara Zwicknagl

We show that collider data on elastic pp (and p\bar{p}) scattering, including the LHC TOTEM data at 7 TeV, can be well described by a 3-channel eikonal model with only one Pomeron, with parameters that are naturally linked to the…

High Energy Physics - Phenomenology · Physics 2015-06-04 M. G. Ryskin , A. D. Martin , V. A. Khoze

Data-driving determination of the new properties of elastic scattering at small angles on the basis on all existing experimental data for $d\sigma/dt$ of $pp$ and $p\bar{p}$ at $\sqrt{s} \geq 540$ GeV allows us to obtain the main…

High Energy Physics - Phenomenology · Physics 2024-11-18 O. V. Selyugin

The first result of the pp2pp experiment at RHIC on elastic scattering of polarized protons at sqrt{s} = 200 GeV is reported here. The exponential slope parameter b of the diffractive peak of the elastic cross section in the t range 0.010…

Nuclear Experiment · Physics 2008-12-18 S. Bueltmann

We study the consequences of high-energy collider data on the best fits to total, elastic, inelastic, and single-diffractive cross sections for $pp$ and $p \bar{p}$ scattering using different unitarisation schemes. We find that the data are…

High Energy Physics - Phenomenology · Physics 2021-11-23 Arno Vanthieghem , Atri Bhattacharya , Rami Oueslati , Jean-René Cudell

The elastic pi-N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are…

High Energy Physics - Phenomenology · Physics 2011-09-13 Martin Mojzis

An analysis of all experimental data of 50's - 90's on elastic gamma-p scattering at photon energies below 150 MeV (10 experimental works) is performed in order to determine the electric (alpha_p) and magnetic (beta_p) polarizabilities of…

Nuclear Experiment · Physics 2007-05-23 P. S. Baranov , A. I. L'vov , V. A. Petrun'kin , L. N. Shtarkov

The intercept of the supercritical Pomeron is examined with the use of different forms of the scattering amplitudes of the bare Pomeron. The one-to-one correspondence between the eikonal phase and the ratio of the elastic and total cross…

High Energy Physics - Phenomenology · Physics 2016-09-01 S. V. Goloskokov , S. P. Kuleshov , O. V. Selyugin

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

Materials Science · Physics 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

The different models of elastic nucleon scattering amplitude will be discussed. Especially, the preference of the more general approach based on eikonal model will be summarized in comparison with the West and Yennie amplitude that played…

High Energy Physics - Phenomenology · Physics 2016-08-16 Vojtěch Kundrát , Miloš Lokajíček

The elastic $\alpha$-$^{12}$C scattering for $l=2$ at low energies is studied in an effective Lagrangian approach. We explicitly include two resonant $2_2^+$ and $2_3^+$ states of $^{16}$O in the scattering amplitudes and construct an $S$…

Nuclear Theory · Physics 2022-06-22 Shung-Ichi Ando

Small momentum transfer elastic pion-proton cross-section at high energies is calculated assuming the proton is composed of two constituents, a quark and a diquark. We find that it is possible to fit very precisely the data when (i) the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adam Bzdak

Low-energy cross sections for elastic scattering and recoil of protons from $^4$He nuclei (also known as $\alpha$ particles) are calculated directly by solving the Schr\"odinger equation for five nucleons interacting through accurate two-…

Nuclear Theory · Physics 2014-12-17 Guillaume Hupin , Sofia Quaglioni , Petr Navrátil

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

The measurements of proton-proton elastic scattering for large momentum transfer at energies in the range $\approx$ 20 to 60 GeV show a simple behaviour of form $d \sigma/dt \approx {\rm const}~|t|^{-8}$, apparently with no energy…

High Energy Physics - Phenomenology · Physics 2023-10-23 Erasmo Ferreira , Anderson Kendi Kohara

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

We investigate the polarization parameters in low-energy antiproton-proton elastic ($\bar{p}p\rightarrow\bar{p}p$) and charge-exchange ($\bar{p}p\rightarrow\bar{n}n$) scattering. The predictions for unmeasured observables are based on our…

High Energy Physics - Phenomenology · Physics 2013-05-27 Daren Zhou , Rob G. E. Timmermans

The elastic $\alpha$-$^{12}$C scattering at low energies for $l=0,1,2,3,4,5,6$ is studied in effective field theory. We discuss the construction of the $S$ matrices of elastic $\alpha$-$^{12}$C scattering in terms of the amplitudes of…

Nuclear Theory · Physics 2024-01-24 Shung-Ichi Ando

We analyze the elastic $\alpha$-$^{12}$C scattering including the contribution of resonance states below the $p$-$^{15}$N breakup threshold energy. We use the cluster effective field theory in which scattering amplitude is expanded in terms…

Nuclear Theory · Physics 2026-03-25 Myeong-Hwan Mun , Jubin Park , Chang Ho Hyun , Shung-Ichi Ando

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

Methodology · Statistics 2021-10-19 Rafael Weißbach , Dominik Wied
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