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Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some…

高能物理 - 格点 · 物理学 2013-08-09 Peng Guo , Jozef Dudek , Robert Edwards , Adam P. Szczepaniak

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

Based on the Lippmann-Schwinger equation approach, a generalized L\"uscher's formula in 1+1 dimensions for two particles scattering in both the elastic and coupled-channel cases in moving frames is derived. A 2D coupled-channel scattering…

高能物理 - 格点 · 物理学 2013-08-09 Peng Guo

We present the results of a coupled-channel model for $\bar{K}N$ scattering in the resonance region. The model fulfills unitarity, has the correct analytical properties for the amplitudes and the partial waves have the right threshold…

高能物理 - 唯象学 · 物理学 2016-08-03 Cesar Fernandez-Ramirez

The K-matrix method is often used to describe overlapping resonances. It guarantees the unitarity of the scattering matrix but its parameters are not resonances masses and widths. It is also unclear how to separate resonant and background…

高能物理 - 唯象学 · 物理学 2020-02-19 Victor Henner , Tatyana Belozerova

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

凝聚态物理 · 物理学 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

For last two decades different quark models have predicted diverse, sometimes contradictory collections of resonant states. To choose the best among them, the obtained sets had to be compared to available experimental values. In the absence…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Ceci , A. Svarc , B. Zauner

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

原子物理 · 物理学 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in…

高能物理 - 唯象学 · 物理学 2020-01-08 J. A. Oller

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

原子物理 · 物理学 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in…

高能物理 - 格点 · 物理学 2010-02-03 Song He , Xu Feng , Chuan Liu

Resonances appearing in hadronic scattering processes are described by a two-phase model. In the one phase, scattering products are observed, whereas the other phase describes confinement. A so-called ``Resonance-Spectrum Expansion'' is…

高能物理 - 唯象学 · 物理学 2008-11-26 Eef van Beveren , George Rupp

We present a unitary multichannel model for $\bar{K}N$ scattering in the resonance region that fulfills unitarity. It has the correct analytical properties for the amplitudes once they are extended to the complex-$s$ plane and the partial…

高能物理 - 唯象学 · 物理学 2016-02-24 C. Fernandez-Ramirez , I. V. Danilkin , D. M. Manley , V. Mathieu , A. P. Szczepaniak

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

核理论 · 物理学 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the $N/D$ method, Castillejo-Dalitz-Dyson…

高能物理 - 唯象学 · 物理学 2025-01-20 José Antonio Oller

The resonant mode approximation of the scattering matrix is considered for calculating the optical properties of multilayered periodic structures within the formalism of the Fourier-modal method for two diffraction thresholds in close…

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

介观与纳米尺度物理 · 物理学 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

The modeling of coupled-channel effects has become increasingly important due to the availability of highly precise data for a large variety of hadronic (re)scattering processes. The K-matrix is a powerful, yet comparatively simple, method…

高能物理 - 唯象学 · 物理学 2026-01-16 Nils Hüsken , Eric S. Swanson , Adam Szczepaniak

We derive a simple formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit-Wigner form, from which…

核理论 · 物理学 2019-12-06 K. Hagino , H. Sagawa , S. Kanaya , A. Odahara
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