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Related papers: Comparing the Broken U3xU3 Linear Sigma Model with…

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The lightest scalar and pseudoscalar nonets are discussed within the [A framework of the broken old UxU3 linear sigma model, and it is shown that already at the tree level this model works remarkably well predicting scalar masses and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nils A. Tornqvist

By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the quark-level linear…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael D. Scadron , George Rupp , Frieder Kleefeld , Eef van Beveren

We study the properties of the light pseudoscalar mesons in a three flavor chiral quark model with nonlocal separable interactions. We concentrate on the evaluation of meson masses and decay constants, considering both the cases of Gaussian…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Scarpettini , D. Gomez Dumm , N. N. Scoccola

By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector, axial-vector, and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. D. Scadron , G. Rupp , E. van Beveren , F. Kleefeld

Meson properties are considered within a U(3)\times U(3) Linear Sigma Model(LSM). The importance of the U_A(1)-breaking term and the OZI rule violating term in the generation of meson masses and mixing angles is stressed. The LSM parameters…

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

This review of the quark-level linear \sigma model is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2) x SU(2) chiral symmetry, with the symmetry weakly broken by current quark…

High Energy Physics - Phenomenology · Physics 2013-10-25 Michael D. Scadron , George Rupp , Robert Delbourgo

A generalized linear sigma model is employed to study the quark structure of low lying scalar as well as pseudoscalar states. The model allows the possible mixing of quark anti-quark states with others made of two quarks and two antiquarks…

High Energy Physics - Phenomenology · Physics 2009-11-13 Amir H. Fariborz , Renata Jora , 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

We discuss how the lightest scalars, in particular the broad sigma resonance, can be understood as unitarized (qbar q) states within a unitarized quark model (UQM). The bare (qbar q) scalars are strongly distorted by hadronic mass shifts,…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. A. Tornqvist , A. D. Polosa

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

We study the $\eta$-$\eta'$ mixing up to next-to-next-to-leading-order in $U(3)$ chiral perturbation theory in the light of recent lattice simulations and phenomenological inputs. A general treatment for the $\eta$-$\eta'$ mixing at higher…

High Energy Physics - Phenomenology · Physics 2015-07-01 Xu-Kun Guo , Zhi-Hui Guo , Jose Antonio Oller , Juan Jose Sanz-Cillero

Within the framework of the $U(3)$ chiral perturbation theory, we revisit the masses, decay constants and the mixing parameters of the light pseudoscalar mesons $\pi, K, \eta$ and $\eta'$. The low energy constants up to…

High Energy Physics - Phenomenology · Physics 2018-11-15 Xiao-Wei Gu , Chun-Gui Duan , Zhi-Hui Guo

The lightest scalar and pseudoscalar nonets are discussed within the framework of the broken U3$\times$U3 linear sigma model, and it is shown that already at the tree level this model works remarkably well predicting scalar masses and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nils A. Tornqvist

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

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

The radially excited pseudoscalar state $\eta(1295)$ is still poorly understood [as well as its $SU(3)$ partners $\pi(1300)$ and $K(1460 )$] and we want to attract attention experimenters to its comprehensive study. As for the main…

High Energy Physics - Phenomenology · Physics 2022-01-12 N. N. Achasov , G. N. Shestakov

In response to recent experimental findings from the BES III and LHCb collaborations concerning the decay of open charm mesons into three pseudoscalars, we present evidence suggesting that the lightest scalar mesons can be characterized as…

High Energy Physics - Phenomenology · Physics 2025-08-25 L. Maiani , A. D. Polosa , V. Riquer

We present the status of the MILC collaboration's analysis of the light pseudoscalar meson sector with SU(3) chiral fits. The analysis includes data from new ensembles with smaller lattice spacing, smaller light quark masses and lighter…

A generalized linear sigma model for low energy QCD is employed to study the quark structure of eight low lying scalar isomultiplets as well as eight low lying pseudoscalar isomultiplets. The model, building on earlier work, assumes the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Amir H. Fariborz , Renata Jora , Joseph Schechter

In this work the analysis of mixing parameters of the system involving eta, eta' mesons and some third massive state G is carried out. We use the generalized mixing scheme with three angles. The framework of the dispersive approach to…

High Energy Physics - Phenomenology · Physics 2010-01-05 Yaroslav N. Klopot , Armen G. Oganesian , Oleg V. Teryaev
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