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The formalism of the scattering matrix is applied to describe the transmission properties of multilayered structures with deep variations of the refractive index and arbitrary arrangements of the layers. We show that there is an exact…

光学 · 物理学 2011-09-22 Victor Grigoriev , Fabio Biancalana

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

高能物理 - 理论 · 物理学 2008-11-26 Steven B. Giddings , Mark Srednicki

The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. Charge-conjugation…

高能物理 - 理论 · 物理学 2015-06-19 W. M. Castilho , A. S. de Castro

Scattering and production amplitudes involving scalar resonances are known, according to Watson's theorem, to share the same phase $\delta(s)$. We show that, at low energies, the production amplitude is fully determined by the combination…

高能物理 - 唯象学 · 物理学 2008-11-26 D. R. Boito , M. R. Robilotta

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

数学物理 · 物理学 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

In 'supersingular' scattering the potential $g^2U_A(r)$ involves a variable nonlinear parameter $A$ upon the increase of which the potential also increases beyond all limits everywhere off the origin and develops a uniquely high level of…

数学物理 · 物理学 2007-05-23 T. Dolinszky

Speckle patterns produced by disordered scattering systems exhibit a sensitivity to addition of individual particles which can be used for sensing applications. Using a coupled dipole model we investigate how multiple scattering can enhance…

光学 · 物理学 2021-08-03 Joel Berk , Matthew R. Foreman

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

We here use our non-perturbative, cluster decomposable relativistic scattering formalism to calculate photon-spinor scattering, including the related particle-antiparticle annihilation amplitude. We start from a three-body system in which…

高能物理 - 理论 · 物理学 2007-05-23 James Lindesay , H. Pierre Noyes

We investigate the analytic structure of scattering amplitudes in theories in which Lorentz invariance is spontaneously broken. We do so by computing and studying the S-matrix for a simple example: a superfluid described by a complex scalar…

高能物理 - 理论 · 物理学 2023-12-15 Lam Hui , Ioanna Kourkoulou , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

We show that the Flatte formula is not adequate to interpret precision data on a resonance production near an inelastic threshold. A unitary parameterization, satisfying generalized Watson's theorem for the production amplitudes, is…

高能物理 - 唯象学 · 物理学 2008-11-26 L. Lesniak

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.…

高能物理 - 唯象学 · 物理学 2019-11-06 Gernot Eichmann , Pedro Duarte , M. T. Peña , Alfred Stadler

Scattering amplitudes in quantum field theory are independent of the field parameterization, which has a natural geometric interpretation as a form of `coordinate invariance.' Amplitudes can be expressed in terms of Riemannian curvature…

高能物理 - 理论 · 物理学 2023-02-08 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses. Here…

高能物理 - 格点 · 物理学 2019-02-06 Raúl A. Briceño , Maxwell T. Hansen , Stephen R. Sharpe

In addition to the superconformal symmetry of the underlying Lagrangian, the scattering amplitudes in planar N=4 super-Yang-Mills theory exhibit a new, dual superconformal symmetry. We address the question of how powerful these symmetries…

高能物理 - 理论 · 物理学 2010-03-17 G. P. Korchemsky , E. Sokatchev

In this study, potential scatterings are formulated in experimental setups with Gaussian wave packets in accordance with a probability principle and associativity of products. A breaking of an associativity is observed in scalar products…

量子物理 · 物理学 2024-08-06 Kenzo Ishikawa

A heavy Higgs resonance is described in a representation-independent way which is valid for the whole energy range of 2 -> 2 scattering processes, including the asymptotic behavior at low and high energies. The low-energy theorems which…

高能物理 - 唯象学 · 物理学 2016-08-25 W. Kilian , K. Riesselmann

We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories. These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed…

高能物理 - 理论 · 物理学 2021-10-12 Brando Bellazzini , Joan Elias Miró , Riccardo Rattazzi , Marc Riembau , Francesco Riva

The wavefunction for indistinguishable fermions is anti-symmetric under particle exchange, which directly leads to the Pauli exclusion principle, and hence underlies the structure of atoms and the properties of almost all materials. In the…

We study the on-shell scattering amplitudes in quantum gravity for high-energy collisions in the eikonal approximation. We first evaluate the $n$-loop 2-particle scattering amplitude in the high energy and low momentum transfer limit. We do…

高能物理 - 理论 · 物理学 2023-12-04 Shreya Shrivastava