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The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

The strong galaxy-galaxy lensing produces highly magnified and distorted images of background galaxies in the form of arcs and Einstein rings. Statistically, these effects are quantified, for example, in the number counts of highly luminous…

Astrophysics of Galaxies · Physics 2019-03-08 Vanessa P. de Freitas , Martin Makler , Habib S. Dúmet-Montoya

We propose a partial answer to the question of what kind of ultrahigh-energy physics has to be taken into account to circumvent the appearance of ultraviolet divergencies; a more than sixty years old open question in quantum…

General Physics · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

Since Berry's pioneering 1984 work, the separation of geometric and dynamic contributions in the {\it phase} of an evolving wave has become fundamental in physics, underpinning diverse phenomena in quantum mechanics, optics, and condensed…

Optics · Physics 2025-10-10 Konstantin Y. Bliokh , Zeyu Kuang , Stefan Rotter

Cylindrical gravitational waves are interesting because they enjoy an infinite dimensional symmetry called Geroch symmetry. In this paper, we compute the 2-particle tree-level S-matrix for cylindrical gravitational waves. The model we use…

High Energy Physics - Theory · Physics 2024-06-04 Robert Penna

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to…

High Energy Physics - Theory · Physics 2019-10-02 Arnau Koemans Collado , Paolo Di Vecchia , Rodolfo Russo

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

When high energy strings scatter at fixed angle, their amplitudes characteristically fall off exponentially with energy, ${\cal A} \sim \exp(-s \times const.)$. We show that in a compact space this suppression disappears for certain…

High Energy Physics - Theory · Physics 2009-10-28 Paul F. Mende

We study the analytic structure of the S-matrix which is obtained from the reduced Wheeler-DeWitt wave function describing spherically symmetric gravitational collapse of massless scalar fields. The simple poles in the S-matrix occur in the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Dongsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We investigate classical scattering off a harmonically oscillating target in two spatial dimensions. The shape of the scatterer is assumed to have a boundary which is locally convex at any point and does not support the presence of any…

In the three-body system with one resonantly interacting pair, we study the behavior of the $S$-matrix pole near the threshold in the fourth quadrant of the unphysical complex energy plane. Our study is essentially based on the unitarity…

High Energy Physics - Phenomenology · Physics 2017-09-12 Atsunari Konishi , Osamu Morimatsu , Shigehiro Yasui

We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or…

High Energy Physics - Theory · Physics 2009-10-28 Joannis Papavassiliou , Kostas Philippides , Martin Schaden

The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic…

General Relativity and Quantum Cosmology · Physics 2012-08-13 Lorenzo De Vittori , Philippe Jetzer , Antoine Klein

We formulate simple graphical rules which allow explicit calculation of nonperturbative $c=1$ $S$-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we…

High Energy Physics - Theory · Physics 2011-04-05 Gregory Moore , M. Ronen Plesser , Sanjaye Ramgoolam

We present a detailed analysis of S-wave Kpi scattering up to 2 GeV, making use of the resonance chiral Lagrangian predictions together with a suitable unitarisation method. Our approach incorporates known theoretical constraints at low and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Jose Antonio Oller , Antonio Pich

The numerical calculation of gravitational self-force in extreme mass ratio inspiral systems is fundamentally challenging due to the singular nature of point-particle sources. To overcome these difficulties, the effective source method…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Chao Zhang , Rong-gen Cai , Guoyang Fu , Yungui Gong , Xuchen Lu , Wenting Zhou

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

Energy correlations characterize the energy flux through detectors at infinity produced in a collision event. Remarkably, in holographic conformal field theories, they probe high-energy gravitational scattering in the dual anti-de Sitter…

High Energy Physics - Theory · Physics 2024-04-24 Hao Chen , Robin Karlsson , Alexander Zhiboedov

It is shown that in ultrahigh energy inelastic neutrino-nucleon(nucleus) scattering the cross sections for the boson-hadron(nucleus) reactions should exhibit geometric scaling on the single variable tau_A =Q2/Q2_{sat,A}. The dependence on…

High Energy Physics - Phenomenology · Physics 2009-11-11 Magno V. T. Machado