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Related papers: Coupled-channel analysis of the process $\gamma \g…

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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

Using dispersion relation technique and experimental data, a coupled channel analysis on $\gamma\gamma\to\pi\pi$ process is made. Di-photon coupling of $f_0(600)$ and $f_0(980)$ resonances are extracted and their dynamical properties are…

High Energy Physics - Phenomenology · Physics 2014-11-20 X. G. Wang , O. Zhang , L. C. Jin , H. Q. Zheng , Z. Y. Zhou

The $\gamma\gamma \to \pi^0 \pi^0 \pi^0$ and $\gamma\gamma \to \pi^+ \pi^- \pi^0$ amplitudes are discussed in the general context of Chiral Perturbation Theory (ChPT) to $O(p^6)$. Chiral loops are found to play a major role. This makes…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Talavera , Ll. Ametller , J. Bijnens , A. Bramon , F. Cornet

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

We analyze the $\gamma\gamma \to \pi^0\pi^0$ and $\gamma\gamma \to \pi^+\pi^-$ reactions using the master formula approach to chiral symmetry breaking. The pertinent vacuum correlators are estimated at tree level, and the results are…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Chernyshev , I. Zahed

The cross section for $\gamma\gamma\to\pi^0\pi^0$ and the pion polarizabilities are computed, within generalized chiral perturbation theory, in the full one loop approximation, {\it i.e.} up to and including order $O({p^5})$. The result…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose A. Oller , Luis Roca , Carlos Schat

The process e^+e^-\to\pi^0\gamma in the energy range \sqrt{s}=0.60-1.06 GeV was studied at VEPP-2M collider with SND detector using 14 pb^{-1} of integrated luminosity. Data were analyzed in the framework of the vector meson dominance…

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 Compton scattering on a charged pion and the process \gamma\gamma \to \pi^0\pi^0 are studied using the dispersion relations. Unknown parameters of the S-wave \pi\pi interaction, represented as a board Breit-Wignar resonance, and a sum…

Nuclear Theory · Physics 2011-07-19 L. V. Fil'kov , V. L. Kashevarov

We present a phenomenological model for the $\gamma\gamma \to \pi^+\pi^-\pi^0$ reaction by including the production mechanism of the $a_2(1320)$ resonance, as well as the contributions from the $\sigma/f_0(500)\, \pi^0$ and $f_2(1270)\,…

High Energy Physics - Phenomenology · Physics 2023-03-29 Xiu-Lei Ren , Igor Danilkin , Marc Vanderhaeghen

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…

High Energy Physics - Phenomenology · Physics 2008-10-08 J. A. Oller , L. Roca

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…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , J. M. Friedrich

We evaluate the amplitude for gamma gamma --> pi^+ pi^- to two loops in the framework of chiral perturbation theory.The three new coupling constants that enter the result at this order in the low-energy expansion are estimated via resonance…

High Energy Physics - Phenomenology · Physics 2011-07-19 Urs Buergi

The theoretical analysis of the $\gamma\gamma \to \pi^0\eta$ process is presented within the energy range up to 1.4 GeV. The $S$-wave resonance $a_0(980)$ is described involving the coupled channel dispersive framework and the $D$-wave…

High Energy Physics - Phenomenology · Physics 2019-02-20 Oleksandra Deineka , Igor Danilkin , Marc Vanderhaeghen

We give the amplitude for $\gamma\gamma \rightarrow \pi^+\pi^-\pi^0$ in leading order chiral perturbation theory. For the case of real photons we calculate the total and differential cross section. Furthermore, we give the dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. W. Bos , Y. C. Lin , H. H. Shih

In combined 2- and 3-channel analyses of experimental data on the coupled processes $\pi\pi\to\pi\pi,K\bar{K},\eta\eta$ in the channel with $I^GJ^{PC}=0^+0^{++}$, various scenarios of these reactions(with different numbers of resonances)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Surovtsev , D. Krupa , M. Nagy

We study the $\Lambda(1520)$ resonance in a coupled channel approach involving the $\pi\Sigma(1385)$, $K\Xi(1530)$, $\bar{K}N$ and $\pi\Sigma$ channels. Implementing unitarity in coupled channels, we make an analysis of the relative…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Roca , Sourav Sarkar , V. K. Magas , E. Oset

A coupled-channel effective Lagrangian model respecting unitary and gauge invariance is applied to the combined analysis of the $(\pi,\gamma) N \to K\Sigma$ reactions for the center of mass energies up to 2 GeV. The recent photoproduction…

Nuclear Theory · Physics 2013-11-20 Xu Cao , V. Shklyar , H. Lenske

The coupled processes -- the pion-pion scattering and pi pi --> K antiK in the I^GJ^{PC}=0^+0^{++} channel -- are analyzed (both separately and combined) in a model-independent approach based on analyticity and unitarity and using a…

High Energy Physics - Phenomenology · Physics 2013-11-04 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , V. E. Lyubovitskij , M. Nagy
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