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Related papers: Cancellation of the sigma meson in thermal models

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We calculate the pressure of the interacting pion gas using the Beth-Uhlenbeck approach to the relativistic virial expansion with Breit-Wigner phase shifts for the $\sigma$- and $\varrho$- meson resonances. The repulsive phase shift…

High Energy Physics - Phenomenology · Physics 2024-02-26 David Blaschke , Alexandra Friesen , Yuriy Kalinovsky

We discuss why the scalar-isoscalar resonance $f_{0}(500)$ should in practice not be included in thermal models describing the freeze-out of heavy-ion collisions. Its contribution into pion multiplicities is in principle relevant because it…

High Energy Physics - Phenomenology · Physics 2016-03-25 Francesco Giacosa , Viktor Begun , Wojciech Broniowski

An important role of the scalar isoscalar sigma-meson in the low-energy physics is discussed. The behavior of the sigma-meson in the hot and dense medium is studied. It is shown that in the vicinity of critical values of temperature(T) and…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. K. Volkov , A. E. Radzhabov , N. L. Russakovich

A separable potential model of three coupled channels (pion-pion, kaon-antikaon and an effective four pion) has been constructed and applied in the analysis of the isoscalar S-wave pion-pion and kaon-antikaon phase shifts and inelasticities…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Lesniak

Scalar-isoscalar mesons are studied using an unitary model in three channels: pi-pi, K-anti K and an effective 2pi-2pi. All the solutions, fitted to the pi-pi and K-anti K data, exhibit a wide f0(500), a narrow f0(980) and two relatively…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. Kaminski , L. Lesniak , B. Loiseau

The meson meson interaction in the scalar isoscalar channel at finite baryonic density is studied in the framework of a chiral unitary approach which generates the f0 and sigma resonances and reproduces well the meson meson phase shifts in…

Nuclear Theory · Physics 2007-05-23 M. J. Vicente Vacas , E. Oset

Properties of scalar-isoscalar mesons are analysed using separable interactions in three decay channels: pion-pion, kaon-antikaon and an effective 2pion-2pion. We obtain different solutions by fitting various data on the pion-pion and…

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

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

In this work the nature of the \sigma or f_0(600) resonance is discussed by evaluating its quadratic scalar radius, \la r^2\ra_s^\sigma. This allows one to have a quantitative estimate for the size of this resonance. We obtain that the…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Albaladejo , J. A. Oller

We first discuss the theoretical and phenomenological significance of the sigma meson ($\sigma$) in QCD. It is indicated that if the collective modes with the mass 500-600 MeV exists in the $I=J=0$ channel, various empirical facts in hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teiji Kunihiro

We evaluate the $a_1(1260) \to \pi \sigma (f_0(500))$ decay width from the perspective that the $a_1(1260)$ resonance is dynamically generated from the pseudoscalar-vector interaction and the $\sigma$ arises from the…

High Energy Physics - Phenomenology · Physics 2023-02-22 R. Molina , M. Doering , W. H. Liang , E. Oset

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

Using constituent quarks coupled to a linear sigma model at nonzero temperature, I show that many anomalous mesonic amplitudes, such as $\pi^0 \rightarrow \gamma \gamma$, vanish in a chirally symmetric phase. Processes which are allowed,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Robert D. Pisarski

The effect of scalar and vector meson mixing on the dilepton radiation from hot and dense hadronic matter is estimated in different isospin channels. In particular, we study the effect of $\sigma$-$\omega$ and $\rho-a_0$ mixing and…

Nuclear Theory · Physics 2010-01-15 O. Teodorescu , A. K. Dutt-Mazumder , C. Gale

We study the reaction $e^+e^-\to\pi^0\gamma$ based on a dispersive representation of the underlying $\pi^0\to\gamma\gamma^*$ transition form factor. As a first application, we evaluate the contribution of the $\pi^0\gamma$ channel to the…

High Energy Physics - Phenomenology · Physics 2020-10-30 Bai-Long Hoid , Martin Hoferichter , Bastian Kubis

The Hidden Local Symmetry Lagrangian is used to study the interactions of phi mesons with other pseudoscalar and vector mesons in a hadronic gas at finite temperature. We have found a significantly small phi mean free path (less than 2.4 fm…

Nuclear Theory · Physics 2009-11-07 L. Alvarez-Ruso , V. Koch

Changes in the properties of the vector mesons in hot and dense hadronic matter, as produced in heavy ion collisions, lead to the intriguing possibility of the opening of the decay channel $\omega \ra \rho \pi$, for the omega meson, which…

Nuclear Theory · Physics 2009-10-31 Pradip Roy , Sourav Sarkar , Jan-e Alam , Binayak Dutt-Roy , Bikash Sinha

Detailed information on decay channel probabilities is absent for many high mass resonances, which are typically included in thermal models. In these cases, the sum over all known decay branching probabilities is smaller than 1. Due to this…

Nuclear Theory · Physics 2017-01-13 V. V. Begun , V. Yu. Vovchenko , M. I. Gorenstein

The pion scalar form factor along with all existing S-wave iso-scalar $\pi\pi$-scattering phase shift data in the elastic region up to $1 {\rm GeV}^2$ are applied for a determination of the $f_0(500)$ and $f_0(980)$ meson parameters…

High Energy Physics - Phenomenology · Physics 2014-12-10 S. Dubnicka , A. Z. Dubnickova , A. Liptaj

Yields, rapidity and transverse momentum spectra of $\Delta^{++}(1232)$, $\Lambda(1520)$, $\Sigma^\pm(1385)$ and the meson resonances $K^0(892)$, $\Phi$, $\rho^0$ and $f_0(980)$ are predicted. Hadronic rescattering leads to a suppression of…

High Energy Physics - Phenomenology · Physics 2010-11-15 Marcus Bleicher , Horst Stöcker
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