Meson properties at finite temperature and baryon density

Lutz, Matthias; Klimt, S.; Weise, W.

doi:10.1016/0375-9474(92)90256-j

Cited by 214 publications

(206 citation statements)

References 31 publications

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“…It is unclear whether this ansatz can be justified in QCD. Although it has been argued that many nuclear phenomena are connected to the partial chiral restoration in nuclear medium [21][22][23][24][25][26][27]33,34], the only compelling evidence for partial chiral symmetry restoration in nuclear medium is that the magnitude of the chiral quark condensate, qq , is substantially reduced relative to its vacuum value [35][36][37][38]. Recently, Birse [39] has argued that the in-medium nucleon mass cannot be simply related to the change in the chiral quark condensate and there are other important contributions unrelated to partial chiral symmetry restoration.…”

Section: Discussionmentioning

confidence: 99%

Modified quark-meson coupling model for nuclear matter

1996

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The quark-meson coupling model for nuclear matter, which describes nuclear matter as non-overlapping MIT bags bound by the self-consistent exchange of scalar and vector mesons, is modified by introducing medium modification of the bag constant. We model the density dependence of the bag constant in two different ways: one invokes a direct coupling of the bag constant to the scalar meson field, and the other relates the bag constant to the in-medium nucleon mass. Both models feature a decreasing bag constant with increasing density. We find that when the bag constant is significantly reduced in nuclear medium with respect to its free-space value, large canceling isoscalar Lorentz scalar and vector potentials for the nucleon in nuclear matter emerge naturally. Such potentials are comparable to those suggested by relativistic nuclear phenomenology and finite-density QCD sum rules. This suggests that the reduction of bag constant in nuclear medium may play an important role in low-and medium-energy nuclear physics.

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Section: Discussionmentioning

confidence: 99%

Modified quark-meson coupling model for nuclear matter

1996

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“…Most of these investigations have been performed in the mean-field approximation [7,8,9,10]. There one finds a second order phase transition with T c ∼ 150 − 200 MeV.…”

Section: Quark Condensate At T =mentioning

confidence: 99%

Meson-loop effects in the NJL model at zero and nonzero temperature

2001

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We compare two different possibilities to include meson-loop corrections in the Nambu-Jona-Lasinio model: a strict 1/N c -expansion in next-to-leading order and a non-perturbative scheme corresponding to a one-meson-loop approximation to the effective action. Both schemes are consistent with chiral symmetry, in particular with the Goldstone theorem and the Gell-Mann-Oakes-Renner relation. The numerical part at zero temperature focuses on the pion and the ρ-meson sector. For the latter the meson-loop-corrections are crucial in order to include the dominant ρ → ππ-decay channel, while the standard Hartree + RPA approximation only contains unphysical qq-decay channels. We find that m π , f π , ψ ψ and quantities related to the ρ-meson self-energy can be described reasonably with one parameter set in the 1/N c -expansion scheme, whereas we did not succeed to obtain such a fit in the non-perturbative scheme. We also investigate the temperature dependence of the quark condensate. Here we find consistency with chiral perturbation theory to lowest order. Similarities and differences of both schemes are discussed.

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“…In the case that the vector and axial-vector interactions are generated by the Fierz transformation of the scalar and pseudoscalar interactions, their coupling strengths are given by G V = G A = G/2, while G V = 1.1G was used in Ref. [25] to give a better description of the vector meson-mass spectrum based on the NJL model. Other parameters are taken from Refs.…”

mentioning

confidence: 99%

“…Other parameters are taken from Refs. [6,25] as m u = m d = 3.6 MeV, m s = 87 MeV, GΛ 2 = 3.6, KΛ 5 = 8.9, and Λ = 750 MeV is the cut-off value in the momentum integration.…”

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confidence: 99%

Elliptic Flow Splitting as a Probe of the QCD Phase Structure at Finite Baryon Chemical Potential

Song

et al. 2014

Phys. Rev. Lett.

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Using a partonic transport model based on the 3-flavor Nambu-Jona-Lasinio model and a relativistic hadronic transport model to describe, respectively, the evolution of the initial partonic and the final hadronic phase of heavy-ion collisions at energies carried out in the Beam-Energy Scan program of the Relativistic Heavy Ion Collider, we have studied the effects of both the partonic and hadronic mean-field potentials on the elliptic flow of particles relative to that of their antiparticles. We find that to reproduce the measured relative elliptic flow differences between nucleons and antinucleons as well as between kaons and antikaons requires a vector coupling constant as large as 0.5 to 1.1 times the scalar coupling constant in the Nambu-Jona-Lasinio model. Implications of our results in understanding the QCD phase structure at finite baryon chemical potential are discussed.PACS numbers: 25.75.Ld, 25.75.Nq, 21.30.Fe, 24.10.Lx The main purpose of the experiments involving collisions of heavy nuclei at relativistic energies is to study the properties of produced quark-gluon plasma (QGP) and its phase transition to hadrons. It is known from the lattice Quantum Chromodynamics (QCD) that for QGP of small baryon chemical potential, such as that formed at top energies of the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC), the hadron-quark phase transition (HQPT) is a smooth crossover [1,2]. For QGP of finite baryon chemical potential produced at lower collision energies, studies based on various theoretical models have indicated, however, that the HQPT is expected to change to a first-order one [3][4][5][6]. To determine if the critical point, at which the crossover HQPT changes to a first-order one, exists and where it is located in the QCD phase diagram is important for understanding the phase structure of QCD and thus the nature of the strong interaction. To search for the critical point, the Beam-Energy Scan (BES) program has been carried out at RHIC to look for its signals at lower collision energies of √ s N N = 7.7 ∼ 39 GeV.Although there is no definitive conclusion on the existence or the location of the critical point, many interesting phenomena different from those at higher collision energies have been observed [7,8]. Among them is the increasing splitting between the elliptic flow (v 2 ) of particles, i.e, the second Fourier coefficient in the azimuthal distribution of their momenta in the plane perpendicular to the participant or reaction plane, and that of their antiparticles with decreasing collision energy [9]. This result also indicates the breakdown of the number of constituent quark scaling of v 2 [10] at lower collision energies. The latter states that the scaled elliptic flow, which is obtained from dividing the hadron elliptic flow by its * Electronic address: xujun@sinap.ac.cn number of constituent quarks as a function of a similarly scaled transverse kinetic energy, is similar for all hadrons, and this has been considered as an evidence for the existence of QGP...

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Meson properties at finite temperature and baryon density

Cited by 214 publications

References 31 publications

Modified quark-meson coupling model for nuclear matter

Modified quark-meson coupling model for nuclear matter

Meson-loop effects in the NJL model at zero and nonzero temperature

Elliptic Flow Splitting as a Probe of the QCD Phase Structure at Finite Baryon Chemical Potential

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