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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

By means of a coupled channel non-perturbative unitary approach, it is possible to extend the strong constrains of Chiral Perturbation Theory to higher energies. In particular, it is possible to reproduce the lowest lying resonances in…

Nuclear Theory · Physics 2011-04-15 E. Oset , E. Marco , J. C. Nacher , J. A. Oller , J. R. Pelaez , A. Ramos , H. Toki

We present a method to calculate pion electro-production amplitudes in a coupled-channel framework incorporating quasi-bound quark-model states. The method offers a clear prescription how to extract the resonant part of the amplitudes, even…

Nuclear Theory · Physics 2009-11-19 B. Golli , S. Sirca , M. Fiolhais

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…

High Energy Physics - Phenomenology · Physics 2016-02-24 C. Fernandez-Ramirez , I. V. Danilkin , D. M. Manley , V. Mathieu , A. P. Szczepaniak

We study forward and backward pi-pi scattering within a QCD model based on the Dyson--Schwinger, Bethe--Salpeter equations truncated to the rainbow-ladder level. Our microscopic relativistic quark formulation preserves chiral symmetry and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stephen R. Cotanch , Pieter Maris

The s-wave pion-pion ($\pi\pi$) scattering lengths are computed below the inelastic threshold by the L\"uscher technique with pion masses ranging from 240 MeV to 463 MeV. In the Asqtad-improved staggered fermion formulation, we calculate…

High Energy Physics - Lattice · Physics 2013-04-03 Ziwen Fu

We present the first lattice QCD study of coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable…

High Energy Physics - Lattice · Physics 2016-10-13 Graham Moir , Michael Peardon , Sinéad M. Ryan , Christopher E. Thomas , David J. Wilson

We investigate photoproduction of $\phi$-mesons off protons within a coupled-channel effective-Lagrangian method which is based on the K-matrix approach. Since the threshold energy of the $K\Lambda(1520)$ channel is close to that of $\phi…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Ozaki , H. Nagahiro , A. Hosaka , O. Scholten

A dynamical coupled channel approach is used to study $\pi$ and $\omega$--meson production induced by pions and photons scattering from the proton. Six intermediate channels including $\pi N$, $\eta N$, $\pi\Delta$, $\sigma N$, $\rho N$ and…

Nuclear Theory · Physics 2009-03-12 Mark W. Paris

A combined analysis of the reactions $\pi^+p\to \pi^+p$, $\pi^-p\to \pi^-p$ and $\pi^-p\to \pi^0n$ is carried out with a chiral quark model. The observations are reasonably described from the $\Delta(1232)$ resonance region up to the…

Nuclear Theory · Physics 2017-05-17 Kai-Lei Wang , Li-Ye Xiao , Xian-Hui Zhong

$\Kbar N$ interactions are investigated {\it via} an effective non-linear chiral meson-baryon Lagrangian. The adjustable parameters are determined by a fitting procedure on the $K^-p$ threshold branching ratios and total cross-section data…

Nuclear Theory · Physics 2009-11-10 A. Bahaoui , C. Fayard , T. Mizutani , B. Saghai

We develop a novel model utilizing the forward $K^*$ production reaction off the nucleon, $\pi N \to K^* MB$, induced by a high-momentum $\pi$ beam, as a tool to study low-lying $Y^*$ resonances below and just above the $\bar{K}N$…

High Energy Physics - Phenomenology · Physics 2026-05-26 H. Kamano , T. -S. H. Lee

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

We report the first lattice QCD results of the scattering amplitudes of the $K\pi$ system for $I = 1/2$ channel together with $I=3/2$ case. We investigate all quark diagrams contributing to these iso-spin states, and find that the…

High Energy Physics - Lattice · Physics 2011-08-22 Junichi Nagata , Shin Muroya , Atsushi Nakamura

We obtain reliable $\pi\pi$ scattering amplitudes consistent with experimental data, both at low and high energies, and fulfilling appropriate analyticity properties. We do this by first fitting experimental low energy ($s^{1/2}\leq1.42…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez , F. J. Yndurain

Angular distributions in the final state of pi0-eta photoproduction on nucleons are considered. As a formal base the familiar isobar model is used in which the (pi0 eta N) state is a product of the resonance decay into eta-Delta(1232) and…

Nuclear Theory · Physics 2008-11-26 A. Fix , M. Ostrick , L. Tiator

We present a lattice QCD study of the puzzling positive-parity nucleon channel, where the Roper resonance $N^*(1440)$ resides in experiment. The study is based on an ensemble of gauge configurations with $N_f=2+1$ Wilson-clover fermions…

High Energy Physics - Lattice · Physics 2018-07-12 Luka Leskovec , Christian B. Lang , M. Padmanath , Sasa Prelovsek

The Faddeev AGS equations are solved for coupled-channels $\bar{K}NN-\pi\Sigma{N}$ system with quantum numbers $I=1/2$ and $S=0$. Using separable potentials for $\bar{K}N-\pi\Sigma$ interaction, we have calculated the transition probability…

Nuclear Theory · Physics 2019-04-15 Sajjad Marri , S. Z. Kalantari , J. Esmaili

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

Final state interactions are considered to formulate the $B$ meson decay amplitude for the $K\pi\pi$ channel. The Faddeev decomposition of the Bethe-Salpeter equation is used in order to build a relativistic three-body model within the…

High Energy Physics - Phenomenology · Physics 2021-02-16 J. H. Alvarenga Nogueira , T. Frederico , O. Lourenço