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Related papers: Modified $\pi\pi$ amplitude with $\sigma$ pole

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We make a re-analysis of I=0 \pi\pi scattering phase shift \delta_0^0 through a new method of S-matrix parametrization (IA; interfering amplitude method), and show a result suggesting strongly for the existence of \sigma-particle --…

High Energy Physics - Phenomenology · Physics 2009-10-30 Shin Ishida

We improve our description of pion-pion scattering data by imposing additional requirements to our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to…

High Energy Physics - Phenomenology · Physics 2011-04-22 R. García- Martín , R. Kamiński , J. R. Peláez , J. Ruiz de Elvira , F. J. Ynduráin

We provide new global parametrizations of $\pi\pi \to \pi\pi$ scattering for the S2, P, D, F, and G partial waves up to at least 1.8 GeV, easy to implement for phenomenological use. With earlier S0-wave parametrizations, slightly updated…

High Energy Physics - Phenomenology · Physics 2025-04-07 J. R. Peláez , P. Rabán , J. Ruiz de Elvira

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

In a previous work, we have reanalyzed the I=0 S-wave \pi\pi-scattering phase-shift through a new method of Interfering Breit-Wigner amplitudes, and have shown the existence of a light scalar, \sigma particle, accompanied by a negative…

High Energy Physics - Phenomenology · Physics 2009-10-28 Shin Ishida , Taku Ishida , Muneyuki Ishida , Kunio Takamatsu , Tsuneaki Tsuru

On the basis of a simultaneous description of the isoscalar s-wave channel of the $\pi\pi$ scattering (from the threshold up to 1.9 GeV) and of the $\pi\pi\to K\bar{K}$ process (from the threshold to $\sim$ 1.4 GeV) in the model-independent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. S. Surovtsev , D. Krupa , M. Nagy

We comment on a recent paper by Weiser et al. [Phys. Rev. C {\bf 54}, 1930 (1996)]. The authors have performed a single-energy analysis of $\pi^+ p$ scattering data at 68.3 MeV, finding a value for the $S_{31}$ phase shift about 1^o smaller…

Nuclear Theory · Physics 2008-11-26 R. A. Arndt , I. I. Strakovsky , R. L. Workman

The hypothesis of sigma meson pole dominance in the Delta I = 1/2 K -> pi pi amplitudes is tested by using the K_L-K_S mass difference.

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Terasaki

We show that two P11 nucleon resonance poles near the pi Delta threshold, obtained in several analyses, are stable against large variations of parameters within a dynamical coupled-channels analysis based on meson-exchange mechanisms. By…

Nuclear Theory · Physics 2014-11-20 H. Kamano , S. X. Nakamura , T. -S. H. Lee , T. Sato

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 provide global parameterizations of $\pi\pi$ scattering $S0$ and $P$ partial waves up to roughly 2 GeV for phenomenological use. These parameterizations describe the output and uncertainties of previous partial-wave dispersive analyses…

High Energy Physics - Phenomenology · Physics 2019-12-18 J. R. Pelaez , A. Rodas , J. Ruiz de Elvira

Earlier work suggested that the in-medium $\pi N$ threshold isovector amplitude $b_1(\rho)$ gets renormalized in pionic atoms by about 30% away from its $\rho=0$ free-space value, relating such renormalization to the leading low-density…

Nuclear Theory · Physics 2019-04-12 E. Friedman , A. Gal

In this letter, we discuss the determination of the $f_0(500)$ resonance by analytic continuation through Pad\'e approximants of the $\pi\pi$-scattering amplitude from the physical region to the pole in the complex energy plane. Using as…

High Energy Physics - Phenomenology · Physics 2026-04-13 Balma Duch , Pere Masjuan

Characteristic properties of pionium $A_{2\pi}$ and associated low energy s--wave cross sections $\sigma(\pi^0\pi^0\to \pi^0\pi^0)$, $\sigma(\pi^+\pi^-\to\pi^0\pi^0)$ and $\sigma(\pi^0\pi^0\to \pi^+\pi^-)$ are investigated with a coupled…

Nuclear Theory · Physics 2008-11-26 M. Sander , C. Kuhrts , H. V. von Geramb

The evidences for sigma(600) and kappa(900) observed in our analyses on the pi pi and K pi scattering phase shift data are described, briefly. The analysis have been performed by the interfering amplitude method, which satisfies the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kunio Takamatsu

We discuss the determination of the $f_0(500)$ (or $\sigma$) resonance by analytic continuation through Pad\'e approximants of the $\pi\pi$-scattering amplitude from the physical region to the pole in the complex energy plane. The aim is to…

High Energy Physics - Phenomenology · Physics 2016-04-13 Irinel Caprini , Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero

We review results of an analysis of pipi interactions in S, P and D waves for two-pion effective mass from threshold to about 1.4 GeV. In particular we show a recent improvement of this analysis above the K anti-K threshold using more data…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We present a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up to $\mathcal{O}(p^3)$ in the chiral…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. M. Alarcon , J. Martin Camalich , J. A. Oller

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 present theoretical results for $(\gamma, \pi^0 \pi^0)$ production on nucleons and nuclei in the kinematical region where the scalar isoscalar $\pi \pi$ amplitude is influenced by the $\sigma$ pole. The final state interaction of the…

Nuclear Theory · Physics 2011-02-09 L. Roca , E. Oset , M. J. Vicente Vacas