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In this article we calculate the eikonal scattering amplitude for an arbitrary number of in- and out-particles, using covariant quantization in a spherical harmonics basis on the Schwarzschild background. We extend prior results to…

High Energy Physics - Theory · Physics 2025-12-11 Nico Groenenboom

This paper reformulates and extends some recent analytical results concerning a new optical theorem and the associated physical bounds on absorption in lossy media. The analysis is valid for any linear scatterer (such as an antenna),…

Optics · Physics 2020-03-17 Sven Nordebo , Mats Gustafsson , Yevhen Ivanenko

The optical theorem is an important tool for scattering analysis in acoustics, electromagnetism, and quantum mechanics. We derive an extended version of the optical theorem for the scattering of elastic waves by a spherical inclusion…

Classical Physics · Physics 2017-04-26 J. P. Leao-Neto , J. H. Lopes , G. T. Silva

The gravity effects in high-energy scattering, described by a four-dimensional eikonal amplitude related to gravireggeons induced by compact extra dimensions are studied. It is demonstrated that the real part of the eikonal (with a massless…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kisselev , V. A. Petrov

We initiate a study into the eikonal exponentiation of the amplitude in impact-parameter space when spinning particles are involved in the scattering. Considering the gravitational scattering of two spin-1/2 particles, we demonstrate that…

High Energy Physics - Theory · Physics 2022-01-19 Kays Haddad

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

We extend the algebraic-eikonal approach to medium energy proton scattering from odd-mass nuclei by combining the eikonal approximation for the scattering with a description of odd-mass nuclei in terms of the interacting boson-fermion…

Nuclear Theory · Physics 2008-11-26 R. Bijker , A. Frank

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm…

High Energy Physics - Theory · Physics 2021-08-20 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Planté , P. Vanhove

Mie theory is a powerful method to model electromagnetic scattering from a multilayered sphere. Usually, the incident beam is expanded to its vector spherical harmonic representation defined by beam shape coefficients, and the multilayer…

We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant integral equations for scattering amplitudes. In particular, we calculate the onshell 2 -> 2 scattering amplitude for the scalar system.…

High Energy Physics - Phenomenology · Physics 2019-11-06 Gernot Eichmann , Pedro Duarte , M. T. Peña , Alfred Stadler

We derive and discuss general physical bounds on the electromagnetic scattering and absorption of passive structures. Our theory, based on passivity and power conservation, quantifies the minimum and maximum allowed scattering for an object…

Optics · Physics 2015-06-17 Romain Fleury , Jason Soric , Andrea Alu

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

We present a general approach for the numerical calculation of the effective dielectric tensor of metamaterials and show that our formalism can be used to study metamaterials beyond the long wavelength limit. We consider a system composed…

Optics · Physics 2020-06-04 Lucila Juárez , Bernardo S. Mendoza , W. Luis Mochán

The eikonal approximation (EA) is widely used in various high-energy scattering problems. In this work we generalize this approximation from the scattering problems with time-independent Hamiltonian to the ones with periodical Hamiltonians,…

Quantum Physics · Physics 2024-09-10 Yaru Liu , Peng Zhang

We derive a new integral equation that allows the calculation of the scattering or annihilation amplitude of two particles subjected to two potentials when the corresponding amplitude for one potential only is known. We assume that…

High Energy Physics - Phenomenology · Physics 2010-07-20 Luca Visinelli , Paolo Gondolo

There is still a gap in understanding phonons scattering by geometrical defects at the nanoscale, and it remains a significant challenge for heat transfer management in nanoscale devices and systems. In this study, we aim to explore the…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Mykola Isaiev , Nataliia Kyrychenko , Vasyl Kuryliuk , David Lacroix

Based on fundamental properties of light scattering by a particle we reveal the existence of the ultimate upper limit for the light absorption by any partial mode. First, we obtain this result for scattering of a plane wave by a symmetric…

Optics · Physics 2018-01-24 Andrey E. Miroshnichenko , Michael I. Tribelsky

In this paper, we present an improvement of a method for computing scattering amplitudes that include external (polarized) fermions with the following features: the formulas are quite general and work for different kinematic configurations…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Chopin

Despite the quantum nature of the process, collective scattering by dense cold samples of two-level atoms can be interpreted classically describing the sample as a macroscopic object with a complex refractive index. We demonstrate that…

We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point…

High Energy Physics - Theory · Physics 2009-10-31 Saurya Das , Arundhati Dasgupta , P. Ramadevi , Tapobrata Sarkar