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The charge pion polarizability is calculated in the Nambu-Jona-Lasinio model, where the quark loops (in the mean field approximation) and the meson loops (in the $1/N_c$ approximation) are taken into account. We show that quark loop…

High Energy Physics - Phenomenology · Physics 2013-05-29 Yu. M. Bystritskiy , A. V. Guskov , V. N. Pervushin , M. K. Volkov

The quark propagator is calculated in the Nambu-Jona-Lasinio (NJL) model in a self-consistent 1/Nc-expansion at next-to-leading order. The calculations are carried out iteratively in Euclidean space. The chiral quark condensate and its…

High Energy Physics - Phenomenology · Physics 2010-05-24 Daniel Müller , Michael Buballa , Jochen Wambach

In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and…

High Energy Physics - Phenomenology · Physics 2022-03-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

The $\rho\omega$--mixing generated by the isospin breaking of the current quark masses $m_{u} \neq m_{d}$ is studied within the bosonized NJL model in the gradient expansion. The resulting effective meson lagrangian naturally incorperates…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Friedrich , H. Reinhardt

The elliptic flow splitting between particles and their antiparticles has recently been observed by the STAR Collaboration in the beam-energy scan program at the Relativistic Heavy Ion Collider. In studies based on transport models, we have…

Nuclear Theory · Physics 2016-10-12 Jun Xu , Che Ming Ko , Feng Li , Taesoo Song , He Liu

We use the Nambu-Jona-Lasinio model as an effective quark theory to investigate the medium modifications of the nucleon electromagnetic form factors. By using the equation of state of nuclear matter derived in this model, we discuss the…

Nuclear Theory · Physics 2009-11-11 T. Horikawa , W. Bentz

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390…

High Energy Physics - Lattice · Physics 2016-06-28 William Detmold , Amy Nicholson

We study the interplay of the chiral and the color superconducting phase transitions in an extended Nambu--Jona-Lasinio model with a multi-quark interaction that produces the nonlinear chiral-diquark coupling. We observe that this nonlinear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kouji Kashiwa , Masayuki Matsuzaki , Hiroaki Kouno , Masanobu Yahiro

The properties of two-flavored massive Nambu--Jona-Lasinio model in (1+1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-$N_c$ limit, where…

High Energy Physics - Phenomenology · Physics 2013-05-30 N. V. Gubina , K. G. Klimenko , S. G. Kurbanov , V. Ch. Zhukovsky

The pion structure function is studied in the Nambu and Jona-Lasinio (NJL) model. We calculate the forward scattering amplitude of a virtual photon from a pion target in the Bjorken limit, and obtain valence quark distributions of the pion…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Shigetani , K. Suzuki , H. Toki

We discuss the non-relativistic multichannel quark model and describe the techniques developed to solve the resulting equations. We then investigate some simple solutions to demonstrate how the model unifies meson-meson scattering with…

Nuclear Theory · Physics 2007-05-23 John Weinstein

The finite temperature phase transition of strongly interacting matter is studied within a nonlocal chiral quark model of the NJL type coupled to a Polyakov loop. In contrast to previous investigations which were restricted to the…

High Energy Physics - Phenomenology · Physics 2008-12-18 D. Blaschke , M. Buballa , A. E. Radzhabov , M. K. Volkov

Temperature dependence of the quark condensate is studied in the Nambu--Jona-Lasinio model with meson loops. Substantial differences are found compared to the results with quark loops only.

High Energy Physics - Phenomenology · Physics 2009-10-28 Wojciech Florkowski , Wojciech Broniowski

We study two kinds of inelastic meson-meson scattering. The first kind is inelastic 2-to-2 meson-meson scattering that is governed by quark interchange as well as quark-antiquark annihilation and creation. Cross-section formulas are…

High Energy Physics - Phenomenology · Physics 2018-02-20 Kai Yang , Xiao-Ming Xu , H. J. Weber

Phase transitions in hot and dense matter and the in--medium behavior of pseudoscalar mesons ($\pi^{\pm}, \pi^0, K^{\pm}, K^0 ,\bar K^0,\eta {and} \eta' $) are investigated, in the framework of the three flavor Nambu--Jona-Lasinio model,…

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

We discuss results of numerical analyses of the 3+1 dimensional Nambu--Jona-Lasinio model at non-zero baryon density. By studying relevant order parameters, it is shown that the model goes through a transition between a vacuum with broken…

High Energy Physics - Lattice · Physics 2008-11-26 David N. Walters

The behavior of kaons and pions in strange quark matter in weak equilibrium, is investigated within the SU(3) Nambu-Jona-Lasinio [NJL] model. This work focuses a region of high densities where the behavior of mesons has not been explored in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , Maria C. Ruivo

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase…

High Energy Physics - Phenomenology · Physics 2023-02-22 Gaoqing Cao

Correlations and fluctuations of physical quantities are known to play an important role in phase transitions and critical phenomena. In recent years some experimental attempts were made in the scope of the Beam Energy Scan program to…

Nuclear Theory · Physics 2018-09-11 Andre Garcia , Volker Koch , Marcus Benghi Pinto

We study aspects of the pion condensation in two-flavor neutral quark matter using the Nambu--Jona-Lasinio model of QCD at finite density. We investigate the role of electric charge neutrality, and explicit symmetry breaking via quark mass,…

High Energy Physics - Phenomenology · Physics 2010-04-21 H. Abuki , R. Anglani , R. Gatto , M. Pellicoro , M. Ruggieri