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The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

A separable potential formalism is used to describe the $\pi\pi$ and $K\overline{K}$ interactions in the scalar-isoscalar states in the energy range from the $\pi\pi$ threshold up to 1.4 GeV. Introduction of relativistic propagators into a…

High Energy Physics - Phenomenology · Physics 2009-09-25 R. Kaminski , L. Lesniak , J. -P. Maillet

Studies on the IJ=00 $\pi\pi$ and $K\bar K$ coupled--channel system are made using newly derived dispersion relations between the phase shifts and poles and cuts. It is found that the $\sigma$ resonance must be introduced to explain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhiguang Xiao , Hanqing Zheng

When a resonance lies near the threshold of a heavier channel, an interesting feature can occur. The paradigmatic example employed here is the scalar isoscalar $f_0(980)$ resonance that couples to the lighter $\pi\pi$ and heavier $K\bar{K}$…

High Energy Physics - Phenomenology · Physics 2024-03-04 J. A. Oller

A simple model for the exotic waves with $I^G(J^{PC})=1^-(1^{-+})$ in the reactions $VP\to VP$, $VP\to PP$, and $PP\to PP$ is constructed beyond the scope of the quark-gluon approach. The model satisfies unitarity and analyticity and uses…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. N. Achasov , G. N. Shestakov

Systematic and careful studies are made on the properties of the IJ=00 $\pi\pi$ and $K\bar K$ coupled-channel system, using newly derived dispersion relations between the phase shifts and poles and cuts. The effects of nearby branch point…

High Energy Physics - Phenomenology · Physics 2009-03-19 Zhiguang Xiao , Hanqing Zheng

Resonance, bound-state, and virtual-state pole positions of the $f_0(500)$ scalar meson are computed as a continuous function of pion mass in the framework of a unitarized and analytic coupled-channel model for scalar mesons, described as…

High Energy Physics - Phenomenology · Physics 2024-03-05 George Rupp

We derive expressions for strangeness-changing scalar form factors, which incorporate known theoretical constraints both at low and high energies. Their leading behaviour in the limit of a large number of colours is calculated from the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Jamin , Jose Antonio Oller , Antonio Pich

In this article we study resonances and surface waves in $\pi^+$--p scattering. We focus on the sequence whose spin-parity values are given by $J^p = {3/2}^+,{7/2}^+, {11/2}^+, {15/2}^+,{19/2}^+$. A widely-held belief takes for granted that…

High Energy Physics - Phenomenology · Physics 2013-08-02 Enrico De Micheli , Giovanni Alberto Viano

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

High Energy Physics - Phenomenology · Physics 2017-07-17 A. Rodas

The scalar -- isoscalar pi-pi phase shifts are analysed using a separable potential model of three coupled channels (pipi, KK and an effective 2pi2pi system). Model parameters are fitted to two sets of solutions obtained in a recent…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Kaminski , L. Lesniak , B. Loiseau

Pion-kaon ($\pi K$) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of $\pi K$ scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in…

High Energy Physics - Phenomenology · Physics 2021-05-19 Leon von Detten , Frederic Noël , Christoph Hanhart , Martin Hoferichter , Bastian Kubis

We discuss how the a_0(980), f_0(980), K^*_0(1430) and particularly the broad sigma resonance can be understood within a coupled channel framework, which includes all light two-pseudoscalar thresholds together with constraints from Adler…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. A. Tornqvist , A. D. Polosa

This work analyses hadronic decays of exotic mesons, with a focus on the lightest one, the $J^{PC}=1^{-+}$ $\pi_{1}$, in a fully relativistic formalism, and makes comparisons with non-relativistic results. We also discuss Coulomb gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikodem J. Poplawski , Adam P. Szczepaniak , J. T. Londergan

New solutions on the scalar -- isoscalar $\pi\pi$ phase shifts are analysed together with previous $K\bar{K}$ results using a separable potential model of three coupled channels ($\pi\pi$, $K\bar{K}$ and an effective $2\pi 2\pi$ system).…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kaminski , L. Lesniak , B. Loiseau

Resonance pole positions of the $f_0(500)$ alias $\sigma(500)$ meson are computed and plotted as a continuous function of pion mass in the framework of a unitary and analytic coupled-channel model for scalar mesons as dynamical $q\bar{q}$…

High Energy Physics - Phenomenology · Physics 2025-01-08 George Rupp

The resonances, containing $c\bar c$ plus $s\bar s$ (or light $q\bar q$) quarks in the mass region $(3900-4700)$ MeV, are analyzed in the relativistic strong coupling theory, with and without channel coupling phenomena. The conventional…

High Energy Physics - Phenomenology · Physics 2022-11-30 A. M. Badalian , Yu. A. Simonov

A multichannel calculation of excited $J^{PC}=1^{--}$ $\phi$ states is carried out within a generalization of the Resonance-Spectrum Expansion, which may shed light on the classification of the $\phi(2170)$ resonance, discovered by BABAR…

High Energy Physics - Phenomenology · Physics 2014-11-20 Susana Coito , George Rupp , Eef van Beveren

We derive a new parametrization for the scalar pion form factors that allows us to analyze data over a large energy range via the inclusion of resonances, and at the same time to ensure consistency with the high-accuracy dispersive…

High Energy Physics - Phenomenology · Physics 2018-12-17 Stefan Ropertz , Christoph Hanhart , Bastian Kubis

The phenomenology entailed by a scalar resonance in a top partner model is analysed here in a $SO(5)$ Composite Higgs formalism. Heavy scalar resonances production and their decays modes are explored along a benchmark resonance mass range.…

High Energy Physics - Phenomenology · Physics 2018-08-16 Sebastián Norero , Juan Yepes , Alfonso Zerwekh
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