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We present a chiral effective model which exhibits all the known symmetry features of the QCD Lagrangian. The extended Linear Sigma Model (eLSM) includes (pseudo-)scalar and (axial-) vector mesons, glueballs, and baryons. It has proven to…

High Energy Physics - Phenomenology · Physics 2013-01-18 Anja Habersetzer

Inspired by recent work on inhomogeneous chiral condensation in cold, dense quark matter within models featuring quark degrees of freedom, we investigate the chiral density-wave solution in nu- clear matter at zero temperature and…

Nuclear Theory · Physics 2015-02-11 Achim Heinz , Francesco Giacosa , Dirk H. Rischke

The extended Linear Sigma Model (eLSM) is a hadronic model based on the global symmetries of QCD and the corresponding explicit, anomalous, and spontaneous breaking patterns. In its basic three-flavor form, its mesonic part contains the…

High Energy Physics - Phenomenology · Physics 2025-05-20 Francesco Giacosa , Péter Kovács , Shahriyar Jafarzade

The quark-level linear sigma model is revisited, in particular concerning the identification of the f_0(400-1200) (or \sigma(600)) scalar meson as the chiral partner of the pion. We demonstrate the predictive power of the linear sigma model…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eef van Beveren , Frieder Kleefeld , George Rupp , Michael D. Scadron

We present an in-depth study of masses and decays of excited scalar and pseudoscalar $\bar{q}q$ states in the Extended Linear Sigma Model (eLSM). The model also contains ground-state scalar, pseudoscalar, vector and axial-vector mesons. The…

High Energy Physics - Phenomenology · Physics 2017-08-02 Denis Parganlija , Francesco Giacosa

We study three-flavor octet baryons by using the so-called extended Linear Sigma Model (eLSM). Within a quark-diquark picture, the requirement of a mirror assignment naturally leads to the consideration of four spin-$\frac{1}{2}$ baryon…

High Energy Physics - Phenomenology · Physics 2016-11-03 L. Olbrich , M. Zétényi , F. Giacosa

The transition in quantum chromodynamics (QCD) from hadronic matter to the quark-gluon plasma (QGP) at high temperatures and/or net-baryon densities is associated with the restoration of chiral symmetry and can be investigated in the…

High Energy Physics - Phenomenology · Physics 2015-12-02 Jürgen Eser , Mara Grahl , Dirk H. Rischke

We enlarge the so-called extended linear Sigma model (eLSM) by including the charm quark according to the global $U(4)_r\times U(4)_l$ chiral symmetry. In the eLSM, besides scalar and pseudoscalar mesons, also vector and axial-vector mesons…

High Energy Physics - Phenomenology · Physics 2015-06-22 Walaa I. Eshraim , Francesco Giacosa

In the case of three quark flavors, (pseudo)scalar diquarks transform as antiquarks under chiral transformations. We construct four spin-1/2 baryonic multiplets from left- and right-handed quarks as well as left- and right-handed diquarks.…

High Energy Physics - Phenomenology · Physics 2016-03-23 Lisa Olbrich , Miklós Zétényi , Francesco Giacosa , Dirk H. Rischke

We present a comprehensive study of mass modifications of scalar, pseudo-scalar, vector, and axial-vector mesons in nuclear matter using the three-flavor extended Linear Sigma Model (eLSM) and the two-flavor Parity Doublet Model (PDM). The…

Nuclear Theory · Physics 2020-04-08 Daiki Suenaga , Phillip Lakaschus

Features of the non-strange \bar n-n and strange \bar s-s scalar mesons are investigated in the Extended Linear Sigma Model (eLSM) with Nf=3 and vector and axial-vector mesons. Our model contains a pure non-strange and a pure strange scalar…

High Energy Physics - Phenomenology · Physics 2011-10-26 Denis Parganlija

Starting from many quark interactions, we construct a nonlinear sigma-omega model at finite temperature and density. The mesons are introduced as auxiliary fields. Effective quark-meson couplings are strongly related to effective meson…

Nuclear Theory · Physics 2007-05-23 H. Kouno , T. Sakaguchi , K. Kashiwa , M. Hamada , H. Tokudome , M. Matsuzaki , M. Yahiro

We study the vacuum properties of the pseudoscalar glueball and charmed mesons by using the so-called extended Linear Sigma Model (eLSM). This model includes scalar and pseudoscalar mesons, as well as vector and axial-vector mesons. We…

High Energy Physics - Phenomenology · Physics 2019-01-14 Walaa I. Eshraim

The extended Linear Sigma Model (eLSM) is an effective hadronic model based on the linear realization of chiral symmetry $SU(N_f)_L \times SU(N_f)_R$, with (pseudo)scalar and (axial-)vector mesons as degrees of freedom. In this paper, we…

High Energy Physics - Phenomenology · Physics 2016-05-18 Florian Divotgey , Peter Kovacs , Francesco Giacosa , Dirk H. Rischke

The extended chiral sigma model with quark fields and elementary pion and sigma fields is used to describe static nucleon properties. The field equations have been solved in coherent pair approximation. Better results are obtained for…

Nuclear Theory · Physics 2009-06-11 M. Abu-shady

We investigate a linear sigma model with global chiral $U(2)_{R} \times U(2)_{L}$ symmetry. The mesonic degrees of freedom are the standard scalar and pseudoscalar mesons and the vector and axial-vector mesons. The baryonic degrees of…

High Energy Physics - Phenomenology · Physics 2014-11-20 Susanna Gallas , Francesco Giacosa , Dirk H. Rischke

We discuss the truncation of low energy effective action of QCD below the chiral symmetry breaking (CSB) scale, including all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. We perform its…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu , R. Tarrach

The mass spectrum of different meson particles is generated using an effective Lagrangian of the extended linear-sigma model (eLSM) for scalar and pseudoscalar meson fields and quark flavors, up, down, strange, and charm. Analytical…

High Energy Physics - Phenomenology · Physics 2024-07-15 Azar I. Ahmadov , Azza A. Alshehri , Abdel Nasser Tawfik

We generalize the linear sigma model in order to develop a chiral-invariant model of nuclear structure. The model is natural, and contains not only the usual sigma meson which is the chiral partner of the pion but also a new chiral-singlet…

Nuclear Theory · Physics 2010-02-17 K. Saito , H. Kouno , K. Tsushima , A. W. Thomas

In the framework of the so-called extended linear sigma model (eLSM), we include a pseudoscalar glueball with a mass of 2.6 GeV (as predicted by Lattice-QCD simulations) and we compute the two- and three-body decays into scalar and…

High Energy Physics - Phenomenology · Physics 2014-11-11 Walaa I. Eshraim
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