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The highlights of studies of mixing among scalar mesons below and above 1 GeV within a nonlinear chiral Lagrangian framework is briefly presented. Two scalar meson nonets are introduced to explore the mass spectrum and decay properties of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz

Underlying mixing of scalar mesons is studied in $\eta'\rightarrow \eta\pi\pi$ decay within a generalized linear sigma model of low-energy QCD which contains two nonets of scalar mesons and two nonets of pseudoscalar mesons (a…

High Energy Physics - Phenomenology · Physics 2015-06-22 Amir H. Fariborz , Joseph Schechter , Soodeh Zarepour , Mohammad Zebarjad

We review how a certain effective chiral Lagrangian approach to pi pi scattering, pi K scattering and eta-prime decay to eta pi pi provides evidence for the existence of light scalars sigma(550) and kappa(900) as well as describing the…

High Energy Physics - Phenomenology · Physics 2010-12-13 Deirdre Black , Amir H. Fariborz , Joseph Schechter

Within the context of a generalized linear sigma model that includes two nonets of scalar mesons (a two-quark nonet and a four-quark nonet) and two nonets of pseudoscalar mesons (a two-quark nonet and a four-quark nonet) a collective…

High Energy Physics - Phenomenology · Physics 2011-09-14 Amir H. Fariborz

First I review some previous work on the lightest scalars below 1.5 GeV, and how these scalars can be understood as unitarized nonet states. The bare scalars are strongly distorted by hadronic mass shifts, and the lightest I=0 state becomes…

High Energy Physics - Phenomenology · Physics 2016-09-06 Nils A. Tornqvist

Despite the apparent simplicity of meson spectroscopy, light scalar mesons cannot be accommodated in the usual $q\bar q$ structure. We study the description of the scalar mesons below 2 GeV in terms of the mixing of a chiral nonet of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Vijande , A. Valcarce , F. Fernandez , B. Silvestre-Brac

We first review the work of the Syracuse group, which uses an effective chiral Lagrangian approach, on meson-meson scattering. An illustration providing evidence for the existence of a strange scalar resonance of mass around 900 MeV is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Deirdre Black , Amir H. Fariborz , Joseph Schechter

The underlying mixing of quark components of scalar mesons is probed in $\pi K$ scattering within a generalized linear sigma model that contains two scalar meson nonets and two pseudoscalar meson nonets (a quark-antiquark and a four-quark).…

High Energy Physics - Phenomenology · Physics 2016-01-20 Amir H. Fariborz , Esmaiel Pourjafarabadi , Soodeh Zarepour , S. Mohammad Zebarjad

We review two approaches to studying pseudoscalar meson-meson scattering amplitudes to beyond 1 GeV using non-linear and linear chiral Lagrangians. These approaches use two different unitarisation techniques - a generalised Breit Wigner…

High Energy Physics - Phenomenology · Physics 2008-01-17 Deirdre Black , Jonathan Gaunt

We study the role of a possible nonet of light scalar mesons in the still interesting $\eta \to 3\pi$ decay process, with the primary motivation of learning more about the scalars themselves. The framework is a conventional non-linear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Abdou M. Abdel-Rehim , Deirdre Black , Amir H. Fariborz , Joseph Schechter

Within a linear sigma model framework, possible mixing between two chiral nonets (a two quark nonet, and a four quark nonet) below 2 GeV is studied. Incorporating the U(1)$_A$ behavior of the underlying QCD, and working in the isospin…

High Energy Physics - Phenomenology · Physics 2007-05-23 Amir H. Fariborz , Renata Jora , Joseph Schechter

I discuss how an extra light scalar meson multiplet could be understood as an effective Higgs nonet of a hidden local U(3) symmetry. There is growing evidence that low energy data requires in addition to a conventional (q bar q) nonet near…

High Energy Physics - Phenomenology · Physics 2017-08-23 Nils A. Tornqvist

Combining the recent lattice calculation of $a_0(1450)$ and $\sigma(600)$ mesons with the overlap fermion in the chiral regime with the pion mass less than $300 {\rm MeV}$, the quenched lattice calculation of the scalar glueball, and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Keh-Fei Liu

We study pi eta scattering in a model which starts from the tree diagrams of a non-linear chiral Lagrangian including appropriate resonances. Previously, models of this type were applied to pi pi and pi K scattering and were seen to require…

High Energy Physics - Phenomenology · Physics 2008-11-26 Deirdre Black , Amir H. Fariborz , Joseph Schechter

We present a detailed study of a linear sigma model containing one chiral nonet transforming under U(1)$_A$ as a quark-antiquark composite and another chiral nonet transforming as a diquark-anti diquark composite (or, equivalently from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

We discuss the effect of the instanton induced, six-fermion effective Lagrangian on the decays of the lightest scalar mesons in the diquark--antidiquark picture. This addition allows for a remarkably good description of light scalar meson…

High Energy Physics - Phenomenology · Physics 2008-12-18 G. 't Hooft , G. Isidori , L. Maiani , A. D. Polosa , V. Riquer

The generalized linear sigma model for mixing among two- and four-quark components of scalar (and psedudosclar) mesons below and above 1 GeV is applied to the $\pi\eta$ channel in which the isovector scalars $a_0(980)$ and $a_0(1450)$ are…

High Energy Physics - Phenomenology · Physics 2022-12-26 Amir H. Fariborz , Soodeh Zarepour , Esmaiel Pourjafarabadi , S. Mohammad Zebarjad

We point out that meson spectrum indicates the existence of a degenerate chiral nonet in the energy region around 1.4 GeV with a slightly inverted spectrum with respect to a qq nonet. Based on this observation, the approximately linear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mauro Napsuciale , Simon Rodriguez

We first briefly review a treatment of the scalars in meson meson scattering based on a non-linear chiral Lagrangian, with unitarity implemented by a "local" modification of the scalar propagators. It is shown that the main results are…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Black , A. H. Fariborz , S. Moussa , S. Nasri , J. Schechter

The hypothesis that there exists a nonet of scalars mainly composed of a valence quark-antiquark pair and mixed according to near singlet-octet separation : f_0 (980) singlet, a_0^{+,0,-} (980), K^{* +,0}_0 (1430), \bar K^{* -,0}_0 (1430),…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter Minkowski , Wolfgang Ochs
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