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We summarize the application of dispersion relations for the determination of low energy $\pi K$ interactions. In particular, we present our recent dispersive analyses for the complete study of both $\pi K\to \pi K$ and $\pi \pi \rightarrow…

高能物理 - 唯象学 · 物理学 2022-04-12 A. Rodas , J. R. Peláez

We perform a theoretical study based on dispersion relations of the reaction \gamma\gamma\to \pi^0\pi^0 emphasizing the low energy region. We discuss how the f_0(980) signal emerges in \gamma\gamma\to \pi\pi within the dispersive approach…

高能物理 - 唯象学 · 物理学 2008-10-08 J. A. Oller , L. Roca

We discuss the simultaneous dispersive analyses of $\pi K\to \pi K$ and $\pi \pi \to K \bar{K}$ scattering data and the $\kappa/K^*_0(700)$ resonance. The unprecedented statistics of present and future Hadron Experiments, modern Lattice QCD…

高能物理 - 唯象学 · 物理学 2022-06-14 J. R. Peláez , A. Rodas

We present a data-driven analysis of the resonant S-wave $\pi\pi \to \pi\pi$ and $\pi K \to \pi K$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are accounted for using the Taylor expansion…

高能物理 - 唯象学 · 物理学 2021-06-30 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We perform a dispersive theoretical study of the reaction \gamma\gamma\to pi^0\pi^0 emphasizing the low energy region. The large source of theoretical uncertainty to calculate the \gamma\gamma\to\pi^0\pi^0 total cross section for…

高能物理 - 唯象学 · 物理学 2008-11-26 Jose A. Oller , Luis Roca , Carlos Schat

The polarizabilities of light pseudoscalar mesons can be extracted from differential cross sections for Compton scattering near threshold. While this has been accomplished for charged pions employing Primakoff reactions, a corresponding…

高能物理 - 唯象学 · 物理学 2024-12-11 Dominik Stamen , Jan Luca Dammann , Yannis Korte , Bastian Kubis

We use a dispersion representation based on unitarity and analyticity to study the low energy $\gamma^* N\rightarrow \pi N$ process in the $S_{11}$ channel. Final state interactions among the $\pi N$ system are critical to this analysis.…

核理论 · 物理学 2021-06-09 Xiong-Hui Cao , Yao Ma , Han-Qing Zheng

We present a data-driven analysis of the S-wave $\pi\pi \to \pi\pi\,(I=0,2)$ and $\pi K \to \pi K\,(I=1/2, 3/2)$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are parametrized using the…

高能物理 - 唯象学 · 物理学 2022-03-07 Oleksandra Deineka , Igor Danilkin , Marc Vanderhaeghen

In this talk we discuss the relevance of dispersive methods and their different applications to obtain simple but rigorous parameterizations of pion-pion and kaon-pion scattering. We show as an example our latest dispersive analysis of $\pi…

高能物理 - 唯象学 · 物理学 2017-11-22 J. R. Peláez , A. Rodas

The transition amplitude of a kaon to a pion and two off-shell photons is studied. First, it is computed at leading order (one-loop level) of the Chiral Perturbation Theory expansion. Explicit analytical results for the leading-order…

高能物理 - 唯象学 · 物理学 2025-10-27 Tomáš Husek

We review the cross sections for low-energy $\pi^- \gamma$ reactions in the framework of chiral perturbation theory. Charged pion Compton scattering, $\pi^- \gamma\to \pi^-\gamma$, is considered up to one-loop order where the pion's…

核理论 · 物理学 2008-11-26 N. Kaiser , J. M. Friedrich

We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Buchler

A comprehensive analysis of all available data on cross sections and spin-dependent observables for the $\gamma p \to K^+ \Sigma^0(1385)$, $\gamma n \to K^+ \Sigma^-(1385)$, and $\pi^+ p \to K^+ \Sigma^+(1385)$ reactions is performed within…

高能物理 - 唯象学 · 物理学 2025-03-21 Ai-Chao Wang , Neng-Chang Wei , Fei Huang

We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Buechler , G. Colangelo , J. Kambor , F. Orellana

We review our recent analysis of $\pi K$ scattering data in terms of forward dispersion relations, and also present the parameters of the strange resonances. This work consists of fits to the data that are constrained to satisfy analyticity…

高能物理 - 唯象学 · 物理学 2016-07-14 A. Rodas , J. R. Peláez

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

高能物理 - 唯象学 · 物理学 2017-07-17 A. Rodas

A system of dispersive representations of the Omn\`es-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the $K\to\pi\pi\pi$ weak transitions is constructed, under the assumptions that CP and isospin…

高能物理 - 唯象学 · 物理学 2024-03-27 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht , Bachir Moussallam

We derive dispersion relations for $K\to\pi\pi$ decay, using the Lehmann-Symanzik-Zimmermann formalism, which allows the analytic continuation of the amplitudes with respect to the momenta of the external particles. No off-shell…

高能物理 - 唯象学 · 物理学 2011-09-13 C. Bourrely , I. Caprini , L. Micu

In this paper, we present a dispersive analysis of the double-virtual photon-photon scattering to two pions up to 1.5 GeV. Through unitarity, this process is very sensitive to hadronic final state interaction. For the $s$-wave, we use a…

高能物理 - 唯象学 · 物理学 2020-03-19 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

高能物理 - 唯象学 · 物理学 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain
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