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Related papers: Sigma Decay at Finite Temperature and Density

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The decay process sigma to 2 pions at high temperature and density and its relation with chiral phase transition are discussed in the framework of the NJL model. The decay rate for the process sigma to 2 pions is calculated in the whole…

Nuclear Theory · Physics 2018-01-17 Xianglei Zhu , Pengfei Zhuang

The pion production by sigma decay and its relation with chiral symmetry restoration in a hot and dense matter are investigated in the framework of the Nambu-Jona-Lasinio model. The decay rate for the process sigma -> 2pion to the lowest…

Nuclear Theory · Physics 2016-09-08 P. Zhuang , Z. Yang

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

Nuclear Theory · Physics 2009-10-30 Heui-Seol Roh , T. Matsui

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

We investigate the chiral phase transition at nonzero temperature $T$ and baryon-chemical potential $\mu_B$ within the framework of the linear sigma model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in both models…

Nuclear Theory · Physics 2010-04-06 O. Scavenius , A. Mocsy , I. N. Mishustin , D. H. Rischke

We investigate the chiral phase transition at finite temperature and chemical potential within SU(2) and SU(3) Nambu-Jona-Lasinio type models. The behavior of the baryon number susceptibility and the specific heat, in the vicinity of the…

High Energy Physics - Phenomenology · Physics 2009-03-23 C. A de Sousa , Pedro Costa , M. C. Ruivo

First, the chiral phase transition at nonzero temperature and baryon chemical potential is studied at mean field level in the sigma model that includes quark degrees of freedom explicitly. For small bare quark masses the critical point…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Mocsy

First we summarize the quark-level linear $\sigma$ model compositeness conditions and verify that indeed $m_\sigma = 2 m_q$ when $m_\pi = 0$ and $N_c=3$, rather than in the $N_c\to\infty$ limit, as is sometimes suggested. Later we show that…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. D. Scadron

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

The photon pair production by pion annihilation in a hot and dense medium at the chiral phase transition is investigated within a chiral quark model. As a direct consequence of this transition the $\sigma$ meson appears as a bound state in…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. K. Volkov , E. A. Kuraev , D. Blaschke , G. Roepke , S. Schmidt

Hadronization at finite temperature $T$ is discussed in the framework of the Nambu--Jona-Lasinio model. The differential cross-section for the conversion of a quark--antiquark pair into two pions to first order in a $1/N_c$ expansion is…

High Energy Physics - Phenomenology · Physics 2010-11-01 J. Hüfner , S. P. Klevansky , E. Quack , P. Zhuang

The hadronization cross section in a quark plasma at finite temperature and density is calculated in the framework of Nambu--Jona-lasinio model with explicit chiral symmetry breaking. In apposition to the familiar temperature effect, the…

Nuclear Theory · Physics 2019-08-17 P. Zhuang , M. Huang , Z. Yang

We study the chiral phase transition of QCD at finite temperature and density by numerically solving Schwinger-Dyson equation for the quark propagator with the improved ladder approximation in the Landau gauge. Using the solution we…

High Energy Physics - Phenomenology · Physics 2011-08-17 Masayasu Harada , Akihiro Shibata

We calculate the pion decay constant near the critical temperature of the $O(N)$ nonlinear sigma model in the large $N$ limit. Making use of the known low temperature behavior, we construct a Pad\'{e} approximant to obtain the behavior of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon , Joseph Kapusta

By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound…

High Energy Physics - Phenomenology · Physics 2016-07-13 Rui Zhang , Wei-jie Fu , Yu-xin Liu

We derive the linear Langevin equation to describe the dynamics of the chiral phase transition above the critical temperature by applying the projection operator method to the Nambu-Jona-Lasinio model at finite temperature and density. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Koide

From the non-extensive statistical mechanics, we investigate the chiral phase transition at finite temperature $T$ and baryon chemical potential $\mu_B$ in the framework of the linear sigma model. The corresponding non-extensive…

Nuclear Theory · Physics 2017-12-01 Ke-Ming Shen , Hui Zhang , De-Fu Hou , Ben-Wei Zhang , En-Ke Wang

We study the anomalous decays $\pi^0, \eta \to\gamma\gamma$ in the framework of the three--flavor Nambu--Jona-Lasinio [NJL] model at finite temperature. The similarities and differences between these results and those obtained at zero…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , Yu. L. Kalinovsky

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark…

Nuclear Theory · Physics 2010-12-23 Lorenzo Ferroni , Volker Koch , Marcus B. Pinto

The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicholas Petropoulos
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