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This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

大气与海洋物理 · 物理学 2007-05-23 Zhen Ye , You-Yu Chen

In this note, we study the connections between infrared (IR) and ultraviolet (UV) behaviors of scattering amplitudes of massless channels by exploiting dispersion relations and positivity bounds. Given forward scattering amplitudes, which…

高能物理 - 理论 · 物理学 2018-02-14 Dong Bai

A sum rule is derived for elastic scattering of hadrons at high energies which is in good agreement with experimental data on $p\bar{p}$ available upto the maximum energy $\sqrt{s} = 2 TeV$. Physically, our sum rule reflects the way…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Pancheri , Y. Srivastava , N. Staffolani

The 2 into n scattering with final particles at rest is discussed. The comparison with purely soft processes allows to identify symmetries responsible for vanishing of certain 2 into n amplitudes. Some examples are given.

高能物理 - 理论 · 物理学 2007-05-23 Joanna Domienik , Piotr Kosinski

We outline a global approach to scattering theory in one dimension that allows for the description of a large class of scattering systems and their $\mathcal{P}$-, $\mathcal{T}$-, and $\mathcal{P}\mathcal{T}$-symmetries. In particular, we…

量子物理 · 物理学 2019-01-25 Ali Mostafazadeh

The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them. If on one hand the different ways in which the perturbative observables…

高能物理 - 理论 · 物理学 2022-03-16 Paolo Benincasa , William J. Torres Bobadilla

We consider the $2\to 2$ scattering amplitude of identical massive particles. We identify the Landau curves in the multi-particle region $16m^2 \leq s, t < 36m^2$. We systematically generate and select the relevant graphs and numerically…

高能物理 - 理论 · 物理学 2022-09-28 Miguel Correia , Amit Sever , Alexander Zhiboedov

Meson-Baryon Interactions can be successfully described using both Chiral Symmetry and Unitarity. The $s-$wave meson-baryon scattering amplitude is analyzed in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry in the…

核理论 · 物理学 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

The equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions. They can be used to obtain three-body symmetry violating scattering amplitudes…

核理论 · 物理学 2014-11-21 Vladimir Gudkov , Young-Ho Song

A non-unitary version of quantum scattering is studied via an exactly solvable toy model. The model is merely asymptotically local since the smooth path of the coordinate is admitted complex in the non-asymptotic domain. At any real…

数学物理 · 物理学 2012-05-21 Miloslav Znojil

Based on Lippmann-Schwinger equation approach, we discuss a three-particle system in finite volume. A set of equations which relate the discrete finite-volume energies to the scattering amplitudes are derived under the approximation of the…

高能物理 - 格点 · 物理学 2013-03-15 Peng Guo

The analyticity properties of the scattering amplitude for a massive scalar field is reviewed in this article where the spacetime geometry is $R^{3,1}\otimes S^1$ i.e. one spatial dimension is compact. Khuri investigated the analyticity of…

高能物理 - 理论 · 物理学 2021-02-24 Jnanadeva Maharana

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the…

高能物理 - 理论 · 物理学 2015-06-19 Brando Bellazzini , Luca Martucci , Riccardo Torre

An explicit derivation of the four-dilatino scattering amplitude from type II superstring theory is presented. This is obtained by using the Kawai-Lewellen-Tye relations for closed string scattering amplitudes in terms of the product of two…

高能物理 - 理论 · 物理学 2025-03-26 Lucas Martin , Martin Parlanti , Martin Schvellinger

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

高能物理 - 格点 · 物理学 2016-11-23 David J. Wilson

Lorentz invariance, unitarity, and causality enforce powerful constraints on the theory space of physical scattering amplitudes. However, virtually all efforts in this direction have centered on the very simplest case of four-point…

高能物理 - 理论 · 物理学 2025-07-17 Clifford Cheung , Grant N. Remmen

The asymptotic behavior of the elastic scattering amplitude by the exchange of graviton between two scalar particles at high energies and fixed momentum transfers is reconsidered in the Logunov-Tavkhelidze equation in the linearized…

高能物理 - 理论 · 物理学 2020-02-18 Do Thu Ha

We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special focus on the…

高能物理 - 理论 · 物理学 2019-06-26 Humberto Gomez , Andreas Helset

Quantum theory is formulated as the uniquely consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if the amplitude of a quantum process can be computed in two different ways, the two…

量子物理 · 物理学 2009-10-31 Ariel Caticha

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size…

数学物理 · 物理学 2011-05-10 Alexander G. Ramm
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