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A dispersive representation based on unitarity and analyticity is used to study the low energy $\gamma N \to \pi N\ \text{and}\ \gamma^* N \to \pi N$ partial wave amplitudes. Final state interactions of the $\pi N$ system are critical to…

High Energy Physics - Phenomenology · Physics 2022-03-01 Xiong-Hui Cao , Yao Ma

Systematic and careful studies are made on the properties of the IJ=00 $\pi\pi$ and $K\bar K$ coupled-channel system, using newly derived dispersion relations between the phase shifts and poles and cuts. The effects of nearby branch point…

High Energy Physics - Phenomenology · Physics 2009-03-19 Zhiguang Xiao , Hanqing Zheng

We develop a dynamical coupled-channels model of K^- p reactions, aiming at extracting the parameters associated with hyperon resonances and providing the elementary antikaon-nucleon scattering amplitudes that can be used for investigating…

Nuclear Theory · Physics 2014-12-22 H. Kamano , S. X. Nakamura , T. -S. H. Lee , T. Sato

A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have…

Nuclear Theory · Physics 2009-10-28 M. Hoffmann , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

A chiral quark-model approach is extended to the study of the $\bar{K}N$ scattering at low energies. The process of $K^-p\to \Sigma^0\pi^0$ at $P_K\lesssim 800$ MeV/c (i.e. the center mass energy $W\lesssim 1.7$ GeV) is investigated. This…

Nuclear Theory · Physics 2009-12-31 Xian-Hui Zhong , Qiang Zhao

A dynamical coupled-channel formalism for processes $\pi N \to KY$ and $\gamma N \to KY$ is presented which provides a comprehensive investigation of recent data on the $\gamma p \to K^+ \Lambda$ reaction. The non-resonant interactions…

Nuclear Theory · Physics 2009-11-11 B. Julia-Diaz , B. Saghai , T. -S. H. Lee , F. Tabakin

We calculate the $00^{++}$-wave two-meson spectra for the reactions $\gamma\gamma\to\pi^0\pi^0$, $\gamma\gamma\to\pi^+\pi^-$, $\gamma\gamma\to K^0\bar K^0$ and $\gamma\gamma\to K^+ K^-$ on the basis of: (i) the results of the $K$-matrix…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Anisovich , V. V. Anisovich

Studies on the IJ=00 $\pi\pi$ and $K\bar K$ coupled--channel system are made using newly derived dispersion relations between the phase shifts and poles and cuts. It is found that the $\sigma$ resonance must be introduced to explain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhiguang Xiao , Hanqing Zheng

Within the framework of dispersion theory, we study the the processes $e^+e^-\to \phi(2170) \to \phi \pi\pi(K\bar{K})$. The strong pion-pion final-state interactions, especially the $K\bar{K}$ coupled channel in the $S$-wave, are taken into…

High Energy Physics - Phenomenology · Physics 2023-07-11 Yun-Hua Chen

We present a theoretical study of the $\gamma\gamma^{*} \to \pi^+\pi^-, \pi^0\pi^0$ processes from the threshold through the $f_2(1270)$ region in the $\pi\pi$ invariant mass. We adopt the Omn\`es representation in order to account for…

High Energy Physics - Phenomenology · Physics 2019-01-23 Igor Danilkin , Marc Vanderhaeghen

Parametrizations of total cross sections sufficient for all channels of the $\pi B \rightarrow Y K$ reactions are completed using a resonance model. As well as discussing the $\pi N \rightarrow \Lambda K$ reactions, which were not presented…

Nuclear Theory · Physics 2015-06-26 K. Tsushima , S. W. Huang , Amand Faessler

We present a unified picture which studies simultaneously the gamma gamma--> pi^+ pi^-, pi^0 pi^0,K^+ K^-, K^0 bar{K}^0, pi^0 eta reactions up to about sqrt(s)=1.4 GeV reproducing the experimental cross sections. The present work implements…

High Energy Physics - Phenomenology · Physics 2010-11-15 J. A. Oller , E. Oset

The $\gamma p \to K^+ \pi^0 \Lambda$ and $\gamma p \to K^+ \pi \Sigma $ reactions are studied in the kinematic region where the $\pi^0 \Lambda$(1116) and $\pi\Sigma$(1192) pairs originate dominantly from the decay of the $\Sigma$(1385) and…

Nuclear Theory · Physics 2010-12-16 Madeleine Soyeur , Matthias F. M. Lutz

CERN COMPASS plans measurements of gamma-pi and gamma-K interactions using 50-280 GeV pion (kaon) beams and a virtual photon target. Pion (kaon) polarizabilities and radiative transitions will be measured via Primakoff effect reactions such…

High Energy Physics - Experiment · Physics 2009-10-31 Murray A. Moinester , Victor Steiner

We properly define off-shell $K\to\pi$ transition amplitudes and use them to extract information for on-shell $K\to\pi\pi$ amplitudes within Chiral Perturbation Theory. At order $p^2$ in the chiral expansion all three parameters of weak…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Bijnens , Elisabetta Pallante , Joaquim Prades

We analyse the rare kaon decays $K_S \to \gamma\gamma$ and $K_S \to \gamma\ell^+\ell^-$ $(\ell = e \mbox{ or } \mu)$ in a dispersive framework in which the weak Hamiltonian carries momentum. Our analysis extends predictions from lowest…

High Energy Physics - Phenomenology · Physics 2016-11-14 Gilberto Colangelo , Ramon Stucki , Lewis C. Tunstall

We use a twice-subtracted partial-wave dispersion relation in the elastic unitarity approximation for final-state interactions to study the amplitude for the delta I = 1/2 CP-conserving weak process K+spurion->pi+pi. We use a simple…

High Energy Physics - Phenomenology · Physics 2012-02-29 N. N. Trofimenkoff

We generalize our previous work on \pi\pi scattering to K\pi scattering, and re-analyze the experiment data of K\pi scattering below 1.6 GeV. Without any free parameter, we explain K\pi I=3/2 S-wave phase shift very well by using t-channel…

High Energy Physics - Phenomenology · Physics 2008-11-26 Long Li , Bing-song Zou , Guang-lie Li

We investigate the A$(\pi^+,K^+){_\Lambda}$A reaction within a covariant model. We consider those amplitudes which are described by creation, propagation and decay into relevant channel of $N^*$(1650), $N^*$(1710), and $N^*$(1720)…

Nuclear Theory · Physics 2010-05-25 S. Bender , R. Shyam , H. Lenske

We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with…

High Energy Physics - Phenomenology · Physics 2009-01-07 B. Ananthanarayan , P. Büttiker