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We develop a new method for taking into account the interference contributions to proton-proton inelastic cross-section within the framework of the simplest multi-peripheral model based on the self-interacting scalar \phi^3 field theory,…

High Energy Physics - Phenomenology · Physics 2015-03-13 I. V. Sharf , G. O. Sokhrannyi , A. V. Tykhonov , K. V. Yatkin , N. A. Podolyan , M. A. Deliyergiyev , V. D. Rusov

We demonstrate a new technique for calculating proton-proton inelastic cross-section, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum…

We propose an algorithm for the application of the Laplace method for the calculation of the simplest Feynman diagram with a single loop in the scalar {\phi}^3 theory. The calculation of the contribution of such a diagram to the scattering…

High Energy Physics - Phenomenology · Physics 2022-05-31 I. V. Sharph , T. M. Zelentsova , N. O. Chudak , O. S. Potiienko , D. A. Ptashynskiy , K. K. Merkotan , T. V. Yushkevich , A. O. Milieva

We apply Laplace method for the tree diagrams to calculate the interference terms arising as a result of summation of particles permutations in the final state of scattering. These terms significantly influence the values of experimentally…

High Energy Physics - Phenomenology · Physics 2021-12-02 O. S. Potiienko , I. V. Sharph , N. O. Chudak , D. S. Domin , I. O. Shelkovenko , K. K. Merkotan

We apply the multi-particle fields model to calculate the differential cross-section d{\sigma}/dt of elastic proton-proton scattering. This problem includes the calculation of multidimensional integrals arising from the loop Feynman…

High Energy Physics - Phenomenology · Physics 2022-09-14 N. O. Chudak , I. V. Sharph , O. S. Potiienko , K. K. Merkotan , T. V. Yushkevych , A. O. Milieva , V. D. Rusov

We demonstrate a possibility of computation of inelastic scattering cross-section in a multi-peripheral model by application of the Laplace method to multidimensional integral over the domain of physical process. The constrained maximum…

High Energy Physics - Phenomenology · Physics 2012-10-17 I. V. Sharf , G. O. Sokhrannyi , A. V. Tykhonov , K. V. Yatkin , N. A. Podolyan , M. A. Deliyergiyev , V. D. Rusov

We demonstrate a new method for the calculation of inelastic scattering cross-section, which in contrary to the Regge-based methods takes into account the energy momentum conservation law. By virtue of this method it was shown that the main…

High Energy Physics - Phenomenology · Physics 2012-10-17 Igor Sharf , Andrii Tykhonov , Grygorii Sokhrannyi , Maksym Deliyergiyev , Natalia Podolyan , Vitaliy Rusov

The dispersion process in particulate porous media at low saturation levels takes place over the surface elements of constituent particles and, as we have found previously by comparison with experiments, can be accurately described by…

Soft Condensed Matter · Physics 2019-06-10 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

We study quantum interference effects due to electron motion on a three-dimensional cubic lattice in a continuously-tunable magnetic field of arbitrary orientation and magnitude. These effects arise from the interference between magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Yeong-Lieh Lin , Franco Nori

Statistical methods to evaluate the effectiveness of interventions are increasingly challenged by the inherent interconnectedness of units. Specifically, a recent flurry of methods research has addressed the problem of interference between…

Methodology · Statistics 2018-07-24 Corwin M. Zigler , Georgia Papadogeorgou

We describe a technique to analytically compute the multipole moments of a charge distribution confined to a planar triangle, which may be useful in solving the Laplace equation using the fast multipole boundary element method (FMBEM) and…

Computational Physics · Physics 2015-06-22 John P. Barrett , Joseph A. Formaggio , Thomas J. Corona

High energy (CERN SPS and LHC) inelastic $pp$ ($p\bar p$) scattering is treated in the framework of additive quark model together with Pomeron exchange theory. We extract the midrapidity inclusive density of the charged secondaries produced…

High Energy Physics - Phenomenology · Physics 2016-09-21 Yu. M. Shabelski , A. G. Shuvaev

We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered $P$-parts or $S$-parts of the far field pattern, corresponding to all the incident plane waves of pressure or…

Analysis of PDEs · Mathematics 2013-11-19 Manas Kar , Mourad Sini

We propose that the energy-dependent spatial modulation of the local density of states seen by Hoffman, et al [hoff2] is due to the scattering interference of quasiparticles. In this paper we present the general theoretical basis for such…

Superconductivity · Physics 2009-11-07 Qiang-Hua Wang , Dung-Hai Lee

The current state-of-the-art theoretical estimations lead to cross-sections for $AA \to \gamma \gamma AA$ which are somewhat smaller than the measured ones by the ATLAS and CMS Collaborations, which motivates the searching and calculation…

High Energy Physics - Phenomenology · Physics 2025-07-23 Mariola Klusek-Gawenda , Victor P. Goncalves , Antoni Szczurek

We investigate various interference effects in elastic scattering of the $\alpha + {}^{40}\text{Ca}$ system at $E_{\rm lab}=29$ MeV. To this end, we use an optical potential model and decompose the scattering amplitude into four components,…

Nuclear Theory · Physics 2025-01-17 Kyoungsu Heo , K. Hagino

Collective effects in the level density are not well understood, and including these effects as enhancement factors to the level density does not produce sufficiently consistent predictions of observables. Therefore, collective effects are…

Nuclear Theory · Physics 2014-06-19 Bora Canbula , Ramazan Bulur , Deniz Canbula , Halil Babacan

The attempt to solve inverse scattering problems often leads to optimization and sampling problems that require handling moderate to large amounts of partial differential equations acting as constraints. We focus here on determining…

Numerical Analysis · Mathematics 2025-04-09 Carolina Abugattas , Ana Carpio , Elena Cebrián , Gerardo Oleaga

We propose a model independent approach for the analysis of interference effects in the process of QCD pair production of new heavy quarks of different species that decay into Standard Model particles, including decays via flavour changing…

High Energy Physics - Phenomenology · Physics 2015-06-17 Daniele Barducci , Alexander Belyaev , Jacob Blamey , Stefano Moretti , Luca Panizzi , Hugo Prager

We calculate the multiple scattering effect on single hadron production in semi-inclusive lepton-nucleus deeply inelastic scattering. We show that the quantum interference of multiple scattering amplitudes leads to suppression in hadron…

High Energy Physics - Phenomenology · Physics 2007-06-13 Xiaofeng Guo , Jun Li
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