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Related papers: The analytical $\pi\pi$ scattering amplitude and t…

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We revisit the information on the two lightest $a_0$ resonances and $S$-wave $\pi\eta$ scattering that can be extracted from photon-photon scattering experiments. For this purpose we construct a model for the $S$-wave photon-photon…

High Energy Physics - Phenomenology · Physics 2020-06-24 Junxu Lu , B. Moussallam

We discuss the recent Cabibbo's proposal to measure the pion-pion scattering lengths combination a0-a2 from the cusp effect in the pi0-pi0 energy spectrum at threshold for K+ to (pi0 pi0 pi+) and KL to (pi0 pi0 pi0). We estimate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ignazio Scimemi , Elvira Gamiz , Joaquim Prades

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

Interactions in coupled channels pipi, KKbar and an effective 2pi2pi in scalar-isoscalar wave have been analysed. Influence of interchannel couplings on analytical structure of multichannel interaction amplitudes has been studied. Interplay…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , B. Loiseau

In this talk I summarize a recently proposed mechanism to understand pi pi scattering to 1 GeV. The model is motivated by the 1/Nc expansion to QCD, and includes a current algebra contact term and resonant pole exchanges. Chiral symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masayasu Harada

Combining large $N_C$ techniques and partial wave dispersion theory to analyze the $\pi\pi$ scattering, without relying on any explicit resonance lagrangian, some interesting results are derived: (a) a general KSRF relation including the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zhi-Hui Guo

In our talk at Nihon university symposium, we have argued that the pipi / Kpi production amplitudes F generally have different structures from those of the pipi / Kpi scattering amplitudes T from a viewpoint of generalized S matrix on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Muneyuki Ishida , Shin Ishida

Based on the analysis of 6.031*10^7 K+- --> pi0 pi0 pi+- decays, the NA48/2 collaboration has recently determined the S-wave pi-pi scattering lengths a_0-a_2 with high precision. In addition, the scattering length a_2 has been independently…

High Energy Physics - Phenomenology · Physics 2015-03-19 Juerg Gasser , Bastian Kubis , Akaki Rusetsky

Outline: 1. Introduction, 2. Confinement, chiral dynamics and light scalar mesons, 3. Chiral shielding of the \sigma(600), chiral constraints (the CGL band), the \sigma(600) and the f0(980) in \pi\pi->\pi\pi, \pi\pi->KKbar,…

High Energy Physics - Phenomenology · Physics 2008-11-07 N. N. Achasov , A. V. Kiselev , G. N. Shestakov

Pion pion scattering is studied in a generalized linear sigma model which contains two scalar nonets (one of quark-antiquark type and the other of diquark-antidiquark type) and two corresponding pseudoscalar nonets. An interesting feature…

High Energy Physics - Phenomenology · Physics 2015-05-28 Amir H. Fariborz , Renata Jora , Joseph Schechter , M. Naeem Shahid

CERN measurements of pi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c enable experimental determination of partial wave production amplitudes below 1080 MeV. The measured S-wave transversity amplitudes provide evidence for a narrow…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Svec

We investigate the determination of the pole associated to $\sigma$ from $\pi\pi$ scattering data below the $K\bar{K}$ threshold, including the new precise data from $K_{e4}$ decay reported recently by the NA48/2 Collaboration. Using a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Irinel Caprini

The scalar-isoscalar, scalar-isotensor and vector-isovector pi-pi amplitudes are fitted simultaneously to experimental data and to Roy's equations. The resulting amplitudes are compared with those fitted only to experimental data. No…

High Energy Physics - Phenomenology · Physics 2009-11-10 Robert Kaminski , Leonard Lesniak , Benoit Loiseau

We study meson-baryon scattering with strangeness -1 in unitary chiral perturbation theory. Ten coupled channels are considered in our work, namely $\pi^0 \Lambda$, $\pi^0 \Sigma^0$, $\pi^- \Sigma^+$, $\pi^+ \Sigma^-$, $K^- p$, $\bar{K}^0…

High Energy Physics - Phenomenology · Physics 2013-11-15 Zhi-Hui Guo , J. A. Oller

We analyze the conditions under which a statistical error analysis can be carried out in the case of $\pi\pi$ scattering, namely the normality of residuals in the conventional $\chi^2$-fit method. Here we check that the current and…

High Energy Physics - Phenomenology · Physics 2016-02-08 R. Navarro Pérez , E. Ruiz Arriola , J. Ruiz de Elvira

The decay $\eta'\to\eta\pi^{0}\pi^{0}$ is studied in the framework of isobar model. It is shown, that good agreement with the experiment is achieved if $a_0$- and $\sigma$-meson contributions are taken into account. The contribution of…

High Energy Physics - Phenomenology · Physics 2018-02-14 S. V. Donskov , A. K. Likhoded , A. V. Luchinsky , V. D. Samoylenko

We present a new method for the determination of the pion-pion scattering lenght combination a0-a2, based on the study of the pi0-pi0 spectrum in K->pi+ pi0 pi0 in the vicinity of the pi+ pi- threshold. The method requires a minimum of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo

We consider the $\pi\pi$ scattering amplitude obtained by Colangelo, Gasser and Leutwyler (CGL), using dispersion relations and chiral perturbation theory to two loops. We point out that the input used by CGL for energies above 1.42 GeV is…

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

We discuss the reaction $\pi^- e^- \to \pi^- e^- \pi^{0}$ with the purpose of obtaining information on the $\gamma \pi \to \pi\pi$ anomalous amplitude ${\cal F}_{3\pi}$. We compare a full calculation at ${\cal O}(p^6)$ in chiral…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Giller , A. Ocherashvili , T. Ebertshauser , M. A. Moinester , S. Scherer

We report on our determination of the values of the one and two loop low energy constants appearing in the Chiral Perturbation Theory calculation of the pi-pi scattering amplitude. For this we use a precise sum rule determination of…

High Energy Physics - Phenomenology · Physics 2013-02-22 Guillermo Rios , Jenifer Nebreda , Jose R. Pelaez
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