Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

Parganlija, Denis; Kovács, P.; Wolf, Gy.; Giacosa, Francesco; Rischke, Dirk H.

doi:10.1103/physrevd.87.014011

Cited by 191 publications

(532 citation statements)

References 180 publications

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“…In the scalar channel there is some evidence that the members of the lowest-lying nonet may be better described as tetraquarks than quark-antiquark states, see e.g. [319,[387][388][389][390][391][392] and references therein. However, also the axialvectors are underestimated by 20-40%.…”

Section: Mesonsmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: Mesonsmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

View full text Add to dashboard Cite

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“…• N f = 3 with frozen glueball (m G → ∞) [5,14]: the results for this scenario are interesting because, for the first time, it is possible to study in a chiral framework the overall vacuum's phenomenology up to 1.7 GeV. The results for the best-fit scenario are listed in Table I.…”

mentioning

confidence: 88%

“…It turns out that the best agreement with the experiment is obtained when the quarkantiquark scalar states of the model are assigned to the scalar resonances between 1-2 GeV (theory in Refs. [3][4][5] and experimental results in Ref. [9]).…”

mentioning

confidence: 99%

“…where the first term is a diagonal matrix with the quark-antiquark condensates, and necessary redefinitions of the pseudoscalar and axial-vector fields have been performed [3,5], the explicit calculations of physical processes are lengthy but straightforward. (Note, the calculations are performed at tree-level; the inclusion of loops is a task for the future, but only slight changes are expected [11].…”

mentioning

confidence: 99%

“…The explicit form of the Lagrangian in the mesonic sector reads (for a generic number of flavors N f ) [3][4][5][6]:…”

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confidence: 99%

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Phenomenology of light mesons within a chiral approach

Giacosa

Parganlija

Kovács

et al. 2012

EPJ Web of Conferences

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Abstract. The so-called extended linear sigma model is a chiral model with (pseudo)scalar and (axial-)vector mesons. It is based on the requirements of (global) chiral symmetry and dilatation invariance. The purpose of this model is the description of the hadron phenomenology up to 1.7 GeV. We present the latest theoretical results, which show a good agreement with the experiment.In this paper we describe a chiral σ model, called 'extended Linear σ model (Elσm)', in which scalar, pseudoscalar, vector, axial-vector quark-antiquark mesons and,in addition, a scalar dilaton/glue field are the basic degrees of freedom. The aim is to develop a model with the basic symmetries of QCD which can describe the vacuum phenomenology up to 1.7 GeV. The Lagrangian of the model is built by requiring (i) global chiral symmetry and (ii) dilatation invariance. Although chiral models are studied since long time [1], the here presented Elσm represents the first attempt to treat in a unified chiral framework (pseudo)scalar mesons (including the glueball) as well as (axial-)vector ones. (Previous studies [2] exist only for N f = 2 and not all the mentioned d.o.f. were taken into account.) It turns out that the inclusion of (axial-)vector d.o.f. have a very strong influence on the overall phenomenology, influencing also the decays in the (pseudo)scalar sector.The explicit form of the Lagrangian in the mesonic sector reads (for a generic number of flavors N f ) [3-6]:where D µ Φ = ∂ µ Φ − ig 1 (L µ Φ − ΦR µ ) and dots represent further terms which are unimportant in the evaluation of decays and (on-shell) scattering lengths. Following comments are in order: (i) The (pseudo)scalar quark-antiquark mesons are described by the matrix Φ = (S a + iP a ) t a (t a are the generators of the group U(N f )). The pseudoscalar states are the pion, kaon and the η and η mesons. The assignment of scalar states is controversial [6][7][8] and represents one of the motivations of our study. It turns out that the best agreement with the experiment is obtained when the quarkantiquark scalar states of the model are assigned to the scalar resonances between 1-2 GeV (theory in Refs. [3][4][5] and experimental results in Ref. [9]).

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Hybrid star properties from an extended linear sigma model

2021

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The equation of state provided by effective models of strongly interacting matter should comply with the restrictions imposed by current astrophysical observations on compact stars. Using the equation of state given by the (axial-)vector meson extended linear sigma model, we determine the mass-radius relation and study whether these restrictions are satisfied under the assumption that most of the star is filled with quark matter. We study the dependence of the mass-radius relation on the parameters of the model.

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Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

Cited by 191 publications

References 180 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Phenomenology of light mesons within a chiral approach

Hybrid star properties from an extended linear sigma model

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