Nuclei in a chiral SU(3) model

Papazoglou, P.; Zschiesche, D.; Schramm, Stefan; Schaffner-Bielich, J.; Stöcker, H.; Greiner, Walter

doi:10.1103/physrevc.59.411

Cited by 317 publications

(576 citation statements)

References 53 publications

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“…Note that this last prescription applies also to SD(ω, q) in Eq. (19). As for the spectral function of the D + s meson appearing in the in-medium D s Y channels, it has been shown [7] that, in addition to the quasi-particle peak, it presents a lower energy mode associated with an exotic resonance predicted around 75 MeV below the D + s N threshold [12].…”

Section: Dn Coupled-channels Equation In Nuclear Mattermentioning

confidence: 99%

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Dmesons in nuclear matter: ADNcoupled-channel equations approach

2006

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A set of coupled two-body scattering equations is solved for the DN system embedded in an isosymmetric nuclear matter. The in-medium behavior of charmed D mesons, (D + , D 0 ), is investigated from the self-consistent solution within this scheme. The effective meson-baryon Lagrangian in charm quantum number one sector, the key ingredient in the present study, is adopted from a recent model by Hofmann and Lutz that has aimed at combining the charmed meson degree of freedom in a consistent manner with chiral unitary models. After a critical examination, the original model is modified in several important aspects, such as the method of regularization, to be more consistent and practical for our objective. The resultant interaction is used to reproduce the position and width of the s-wave c (2593) resonance in the isospin zero DN channel. In the isospin one channel, it generates a rather wide resonance at ∼2770 MeV. The corresponding in-medium solution is then sought by incorporating Pauli blocking and the D-and π -meson dressing self-consistently. At normal nuclear matter density, the resultant c (2593) is found to stay narrow and shifted at a lower energy, whereas the I = 1 resonance is lowered in position as well and broadened considerably.

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Section: Dn Coupled-channels Equation In Nuclear Mattermentioning

confidence: 99%

“…The first is to describe the static nuclear properties, viz. binding energy per nucleon, compressibility, etc., in a mean-field approach imposing SU(3) symmetry with the non-linear realization of chiral symmetry [19]. It is an extention of the original Walecka "σ -ω" model [20].…”

Section: B Nmfamentioning

confidence: 99%

Dmesons in nuclear matter: ADNcoupled-channel equations approach

2006

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“…In the following we will shortly describe the different components of the model, for a more detailed discussion we refer to [30]. The hadronic part is described by a flavor-SU(3) model, which is an extension of a non-linear representation of a σ-ω model including the pseudo-scalar and vector nonets of mesons and the baryonic octet [31,32,33]. Besides the kinetic energy term for hadrons and quarks, the terms:…”

Section: The Qh Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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We calculate the 2nd and 4th order quark number susceptibilities at zero baryochemical potential, using a PNJL approach and an approach which includes, in a single model, quark and hadronic degrees of freedom. We observe that the susceptibilities are very sensitive to possible quark-quark vector interactions. Compared to lattice data our results suggest that above T c any mean field type of repulsive vector interaction can be excluded from model calculations. Below T c our results show only very weak sensitivity on the strength of the quark and hadronic vector interaction. The best description of lattice data around T c is obtained for a case of coexistence of hadronic and quark degrees of freedom .Many recent experimental programs in heavy ion physics, e.g. at the relativistic heavy ion collider and the planned FAIR facility, are aimed at a better understanding of bulk properties of QCD matter. In particular the experimental confirmation of the deconfinement and chiral phase transitions as well as the search for the critical end point (CeP) are of great interest to the community. Lattice results at µ B = 0 suggest that both phase transitions exhibit a smooth crossover. Suffering from the so called sign problem at finite baryo chemical potential, lattice studies have so far not been able to constitute a consistent picture of the phase diagram and the existence of the CeP [1,2]. While a Taylor expansion of lattice results at µ b = 0 predict the existence of a critical end point these results may strongly depend on the order to which the Taylor coefficients can be evaluated [3]. Lattice calculations at imaginary chemical potential on the other hand show no indication for a CeP, though these calculations are done on on a coarse lattice with a fermion action that is known to have large discretization errors. Other studies trying to locate the CeP often rely on the applicability of various effective models where CeP's existence and location seems very sensitive on the vector coupling strength at and below T c [4]. The PNJL modelThe PNJL model was introduced in [5,6] as an effective chiral quasi-quark model that incorporates a mean field like coupling to a color background field. It has often been shown to reproduce many general features of lattice results at µ B = 0 [7,

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“…However, while from this simple minded argument we might expect those mesons to play a marginal role, OBE potentials have traditionally been sensitive to short distances requiring a unnatural fine tuning of the vector meson coupling. As a consequence there has been some inconsistency between the couplings required from meson physics, SU(3) or chiral symmetry on the one hand and those from NN scattering fits on the other hand (see also [15,16,17]). Part of the disagreement could only be overcome after even shorter scales were explicitly considered [18,19].…”

Section: Introductionmentioning

confidence: 99%

Renormalization versus strong form factors for one-boson-exchange potentials

Cordón

Arriola

2010

Phys. Rev. C

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We analyze the One Boson Exchange Potential from the point of view of Renormalization theory. We show that the nucleon-meson Lagrangean while predicting the NN force does not predict the NN scattering matrix nor the deuteron properties unambiguously due to the appearance of short distance singularities. While the problem has traditionally been circumvented by introducing vertex functions via phenomenological strong form factors, we propose to impose physical renormalization conditions on the scattering amplitude at low energies. Working in the large Nc approximation with π,σ,ρ and ω mesons we show that, once these conditions are applied, results for low energy phases of proton-neutron scattering as well as deuteron properties become largely insensitive to the form factors and to the vector mesons yielding reasonable agreement with the data and for realistic values of the coupling constants.

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Nuclei in a chiral SU(3) model

Cited by 317 publications

References 53 publications

Dmesons in nuclear matter: ADNcoupled-channel equations approach

Dmesons in nuclear matter: ADNcoupled-channel equations approach

The problem of repulsive quark interactions – Lattice versus mean field models

Renormalization versus strong form factors for one-boson-exchange potentials

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