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A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao

Interactions in three coupled channels: pi-pi, K-anti K and sigma-sigma have been investigated in a wide two-pion effective mass region from the pi-pi threshold up to 1600 MeV. Analytical structure of amplitudes in all channels has been…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Kaminski , Leonard Lesniak , Benoit Loiseau

Perturbing resonant systems causes shifts in their associated scattering poles in the complex plane. In a previous study [arXiv: 2408.11360], we demonstrated that these shifts can be calculated numerically by analyzing the residue of a…

Quantum Physics · Physics 2025-11-03 Niall Byrnes , Matthew R. Foreman

In a combined analysis of the experimental data on the coupled processes $\pi\pi\to\pi\pi,K\bar{K}$ in the channel with $I^GJ^{PC}=0^+0^{++}$, the various scenarios of these reactions (with different numbers of resonances) are considered.…

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

Resonances of open non-Hermitian systems are associated with the poles of the system scattering matrix. Perturbations of the system cause these poles to shift in the complex frequency plane. In this work, we introduce a novel method for…

Optics · Physics 2025-11-03 Niall Byrnes , Matthew R. Foreman

A sophisticated coupled-channel analysis is presented that combines different processes: the channels $\pi^0\pi^0\eta$, $\pi^0\eta\eta$ and $K^+K^-\pi^0$ from $\bar{p}p$ annihilations, the P- and D-wave amplitudes of the $\pi\eta$ and…

High Energy Physics - Phenomenology · Physics 2021-12-22 B. Kopf , M. Albrecht , H. Koch , M. Küßner , J. Pychy , X. Qin , U. Wiedner

A new unitarization approach incorporated with chiral symmetry is established and applied to study the $\pi K$ elastic scatterings. We demonstrate that the $\kappa$ resonance exists, if the scattering length parameter in the I=1/2, J=0…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao , J. J. Wang , N. Wu

We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola

We test the hypothesis of $K(1460)$ being a hadronic $J^P=0^-$ molecule through nonperturbative $S$-wave $K K\bar K$, $K\pi\pi$, $K\pi\eta$ coupled-channel dynamics in a three-body unitary isobar approach. The scalar two-body…

Nuclear Theory · Physics 2025-11-05 Michael Döring , Kanchan P. Khemchandani , Alberto Martínez Torres

We report on the latests developments in the field of baryonic resonances generated from the meson-baryon interaction in coupled channels using a chiral unitary approach. The collection of resonances found in different strangeness and…

Nuclear Theory · Physics 2007-05-23 A. Ramos , C. Bennhold , A. Hosaka , T. Hyodo , D. Jido , U. G. Meissner , J. A. Oller , E. Oset , M. J. Vicente-Vacas

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

Making use of the analytical properties of the $S$-matrix and a theorem of Mittag-Leffler, model independent non-relativistic expressions for cross sections in single channel elastic scattering, scattering phase shifts and survival…

High Energy Physics - Phenomenology · Physics 2018-07-18 D. F. Ramírez Jiménez , N. G. Kelkar

Recently we have shown an evidence for existence of \sigma-particle in the previous works; where the \pi\pi S-wave phase shift is reanalyzed, by introducing a repulsive background suggested by the chiral symmetry, and by applying a new…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shin Ishida , Muneyuki Ishida , Taku Ishida , Kunio Takamatsu , Tsuneaki Tsuru

Using unitarized Chiral Perturbation Theory methods, we perform a detailed analysis of the $\pi\pi$ scattering poles $f_0(600)$ and $\rho(770)$ behaviour when medium effects such as temperature or density drive the system towards Chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Fernandez-Fraile , A. Gomez Nicola , E. T. Herruzo

KNN three body resonance has been studied by KNN-pi Sigma N coupled channel Faddeev equation. The S-matrix pole has been investigated using the analytically continued scattering amplitude on the unphysical Riemann sheet. As a result we…

Nuclear Theory · Physics 2007-05-23 Yoichi Ikeda , Toru Sato

Around $\theta_{\pi}= 90^\circ$, the coupling to the $\rho^\circ N$ channel leads to a good accounting of the charged pion exclusive photoproduction cross section in the energy range 3 $<E_{\gamma}<$ 10 GeV, where experimental data exist.…

High Energy Physics - Phenomenology · Physics 2010-03-24 J. M. Laget

Re-analyzing the old phase shift data of I=0, \pi\pi (I=1/2, K\pi) scattering, we show an evidence for existence of the \sigma-particle (\kappa-particle) with a comparatively light mass, which has been missing for a long time: In the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Taku Ishida , Muneyuki Ishida , Shin Ishida , Kunio Takamatsu , Tsuneaki Tsuru

We develop a robust method to extract the pole configuration of a given partial-wave amplitude. In our approach, a deep neural network is constructed where the statistical errors of the experimental data are taken into account. The teaching…

High Energy Physics - Phenomenology · Physics 2021-08-09 Denny Lane B. Sombillo , Yoichi Ikeda , Toru Sato , Atsushi Hosaka

A simple $\pi \pi$, $\bar{K}K$, and $\rho \rho$($\omega \omega$) fully coupled channel model is proposed to predict the isoscalar S-wave phase shifts and inelasticities for $\pi \pi$ scattering in the 1.0 to 2.0 GeV region. The S-matrix is…

Nuclear Theory · Physics 2015-06-26 W. M. Kloet , B. Loiseau

We present a new approach to quantifying pole parameters of single-channel processes based on a Laurent expansion of partial-wave T-matrices in the vicinity of the real axis. Instead of using the conventional power-series description of the…

High Energy Physics - Phenomenology · Physics 2014-01-10 Alfred Svarc , Mirza Hadzimehmedovic , Hedim Osmanovic , Jugoslav Stahov , Lothar Tiator , Ron L. Workman
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