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We present an analytic calculation of the integrated double-emission eikonal function of a massive and a massless emitter whose momenta are at an arbitrary angle to each other. This quantity provides one of the required ingredients for…

High Energy Physics - Phenomenology · Physics 2025-07-14 Dennis Horstmann , Kirill Melnikov , Ming-Ming Long , Andrey Pikelner

By means of improved empirical fits to the differential cross section data on $pp$ elastic scattering at $19.4 \le\sqrt{s}\le 62.5$ GeV and making use of a semi-analytical method, we determine the eikonal in the momentum transfer space (the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. F. Avila , M. J. Menon

We apply the theory of parton-parton total cross sections at large ``s", due to Lipatov and collaborators, to compute the inclusive cross section for jets which accompany a large ``s" parton scattering process.

High Energy Physics - Phenomenology · Physics 2009-10-22 Vittorio Del Duca , Michael E. Peskin , Wai-Keung Tang

The paper discusses the applicability of WKB and Born (small perturbations) approximations in the problem of the backscattering of quantum particles and classical waves by one-dimensional smooth potentials with amplitudes small compared to…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh , V. D. Freilikher , N. M. Makarov

The electron structure functions are studied in polarized $e^+e^-$ scattering. The formulae for longitudinally and transversely polarized electrons are presented. The smallnes of the electron mass leads to negligible cross-sections and…

High Energy Physics - Phenomenology · Physics 2011-07-19 Wojciech Slominski , Jerzy Szwed

Differential cross sections are computed for the title polar molecule using static interaction, exchange forces and correlation-polarisation effects as described in detail in the main text. The dipole effect is also reported via the dipole…

Chemical Physics · Physics 2009-11-13 F. A. Gianturco , T. Stoecklin

We formulate eikonal approximation to the calculation of high energy scattering amplitude in the frame where both colliding objects are very energetic. We express the eikonal scattering matrix in terms of the color charge densities of the…

High Energy Physics - Phenomenology · Physics 2009-02-12 T. Altinoluk , A. Kovner , J. Peressutti

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

The standard Born Oppenheimer theory does not give an accurate description of the wave function near points of level crossing. We give such a description near an isotropic conic crossing, for energies close to the crossing energy. This…

Quantum Physics · Physics 2009-11-06 J. E. Avron , A. Gordon

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2015-06-03 Nguyen Suan Han , Le Hai Yen , Nguyen Nhu Xuan

As a step toward satisfactory understanding of the quantum dynamics of Dirichlet \break (D-) particles, the amplitude for the basic process describing the scattering of two quantized D-particles is computed in bosonic string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 Yoichi Kazama

Stripping cross sections in nitrogen have been calculated using the classical trajectory approximation and the Born approximation of quantum mechanics for the outer shell electrons of 3.2GeV I$^{-}$ and Cs$^{+}$ ions. A large difference in…

Atomic Physics · Physics 2016-09-08 Igor D. Kaganovich , Edward A. Startsev , Ronald C. Davidson

The paper proposes an approximate expression for calculating very complex one-dimensional integrals depending on the parameter $a$. These integrals often occur in computational problems theory of magnetic solitons. The resulting analytical…

General Physics · Physics 2023-02-27 D. Kovalenko , A. A. Zhmudsky

The Glauber method is extensively used to describe the motion of a hadronic projectile in interaction with the surrounding nuclear medium. One of the main approximations consists in the linearization of the wave equation for the interacting…

Nuclear Theory · Physics 2009-10-28 A. Bianconi , M. Radici

The lowest order radiative corrections to the cross section and asymmetries measured in experiments on semi-inclusive deep inelastic scattering of polarized particles were calculated. Both exact and leading log expressions were presented…

High Energy Physics - Phenomenology · Physics 2023-10-30 I. Akushevich , H. Avakian , A. Ilyichev , S. Srednyak

It has been suggested that scattering cross sections at very high energies for producing large numbers of Higgs particles may exhibit factorial growth, and that curing this growth might be relevant to other questions in the Standard Model.…

High Energy Physics - Phenomenology · Physics 2020-03-02 Michael Dine , Hiren H. Patel , Jaryd F. Ulbricht

We present a semi-analytic calculation of the integrated double-emission eikonal function of two massive emitters whose momenta are at an arbitrary angle to each other. This result is needed for extending the nested soft-collinear…

High Energy Physics - Phenomenology · Physics 2025-10-07 Ming-Ming Long , Kirill Melnikov , Andrey Pikelner

In analogy with the quantum field theory of free bosons a simple integral representation is derived for recently proposed corrections describing the Bose Einstein effect. The saddle point approximation to these integrals results in a…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Wosiek

Cross sections for proton inelastic collision with different nuclei are described within the Glauber approximation. The significant difference between approximate ``Glauber'' formula and exact calculations with geometrical scaling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tadeusz Wibig

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the…

Quantum Physics · Physics 2025-11-25 Viktoriia Omelchenko