QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Chanfray, G.; Ericson, M.

doi:10.1103/physrevc.75.015206

Cited by 25 publications

(95 citation statements)

References 30 publications

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“…To improve the description, although this is not necessarily consistent with our present nucleon model, we add on top of the Hartree mean field result the pion loop (Fock term and correlation energy) contribution obtained in our previous work [2]. Taking the value of G 2 at the value quoted previously, G 2 = 0.78 (G 2 ) VDM , we obtain a decent saturation curve, shown in Fig.…”

Section: Effect Of Confinement: Simple Models For the In-medium mentioning

confidence: 99%

“…The connection between the field S, normalized to the quark mass, and the scalar field s used in our previous work [1][2][3]9] is…”

Section: Concluding Remarks On This Sectionmentioning

confidence: 99%

“…In the spirit of our previous works [1][2][3]9,10], we first go from the Cartesian representation ( ,P ) to a polar representation (S,π ) by making the change of variables:…”

Section: Effective Lagrangian From Njl Modelmentioning

confidence: 99%

“…This framework has been implemented in nuclear matter calculation at the Hartree level [1]. In a subsequent work [2], we also incorporated nonrelativistically the pion loop correlation energy. A full relativistic HartreeFock (RHF) calculation was then done in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…One question is how the interplay between chiral symmetry and confinement in the nucleon structure manifests itself in the nuclear many-body problem. In a set of recent papers [1][2][3], we have associated the mean-field nuclear attraction with the in-medium modification of a (chiral invariant) background scalar field which reflects part of the evolution of the chiral quark condensate. In this framework the nuclear medium can be seen as a shifted QCD vacuum.…”

Section: Introductionmentioning

confidence: 99%

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Scalar fields in nuclear matter: The roles of spontaneous chiral symmetry breaking and nucleon structure

Chanfray

Ericson

2011

Phys. Rev. C

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Chiral theories with spontaneous symmetry breaking such as the Nambu-Jona-Lasinio (NJL) model lead to the existence of a scalar mode. We present in a detailed manner how the corresponding low-momentum effective Lagrangian involving the scalar field can be constructed starting from the NJL model. We discuss the relevance of the scalar mode for the problem of nuclear binding and saturation. We show that it depends on the nucleon mass origin with two extreme cases. If this origin is entirely due to confinement, the coupling of this mode to the nucleons vanishes, making it irrelevant for the nuclear binding problem. If instead it is entirely due to spontaneous symmetry breaking, it couples to the nucleons but nuclear matter collapses. It is only in the case of a mixed origin with spontaneous breaking that nuclear matter can be stable and reach saturation. We describe models of nucleon structure where this balance is achieved. We also show how chiral constraints and confinement modify the QCD sum rules for mass evolution in nuclear matter.

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Section: Effect Of Confinement: Simple Models For the In-medium mentioning

confidence: 99%

“…The connection between the field S, normalized to the quark mass, and the scalar field s used in our previous work [1][2][3]9] is…”

Section: Concluding Remarks On This Sectionmentioning

confidence: 99%

“…In the spirit of our previous works [1][2][3]9,10], we first go from the Cartesian representation ( ,P ) to a polar representation (S,π ) by making the change of variables:…”

Section: Effective Lagrangian From Njl Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scalar fields in nuclear matter: The roles of spontaneous chiral symmetry breaking and nucleon structure

Chanfray

Ericson

2011

Phys. Rev. C

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Cold uniform matter and neutron stars in the quark–meson-coupling model

et al. 2007

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A new density dependent effective baryon-baryon interaction has been recently derived from the quark-meson-coupling (QMC) model, offering impressive results in application to finite nuclei and dense baryon matter. This self-consistent, relativistic quark-level approach is used to construct the Equation of State (EoS) and to calculate key properties of high density matter and cold, slowly rotating neutron stars. The results include predictions for the maximum mass of neutron star models, together with the corresponding radius and central density, as well the properties of neutron stars with mass of order 1.4 M ⊙ . The cooling mechanism allowed by the QMC EoS is explored and the parameters relevant to slow rotation, namely the moment of inertia and the period of rotation investigated. The results of the calculation, which are found to be in good agreement with available observational data, are compared with the predictions of more traditional EoS, based on the A18+δv+UIX * and modified Reid soft core potentials, the Skyrme SkM * interaction and a relativistic mean field (RMF) models for a hybrid stars including quark matter. The QMC EoS provides cold neutron star models with maximum mass 1.9-2.1 M ⊙ , with central density less than 6 times nuclear saturation density (n 0 = 0.16 fm −3 ) and offers Preprint submitted to Elsevier Science 17 February 2017a consistent description of the stellar mass up to this density limit. In contrast with other models, QMC predicts no hyperon contribution at densities lower than 3n 0 , for matter in β-equilibrium. At higher densities, Ξ −,0 and Λ hyperons are present. The absence of lighter Σ ±,0 hyperons is understood as a consequence of antisymmetrisation, together with the implementation of the color hyperfine interaction in the response of the quark bag to the nuclear scalar field.

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Nuclear matter in the chiral limit and the in-medium chiral condensate

Plohl

Fuchs

2008

Nuclear Physics A

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We investigate nuclear matter, i.e. the nuclear equation-of-state (EOS) as well as the relativistic mean fields in the chiral limit. The investigations are based on a chiral nucleon-nucleon EFT interaction where the explicit and implicit pion mass dependence is known up to next-to-leading order. The nuclear bulk properties are found to remain fairly stable in the chiral limit. Based on the same interaction the in-medium scalar condensate is derived, both in Hartree-Fock approximation as well as from the Brueckner G-matrix, making thereby use of the Hellman-Feynman theorem. Short distance physics which determines the reduction of the in-medium nucleon mass is found to play only a minor role for the reduction of the chiral condensate.Comment: 30 pages, 5 figs. To appear in Nuclear Physics

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QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Cited by 25 publications

References 30 publications

Scalar fields in nuclear matter: The roles of spontaneous chiral symmetry breaking and nucleon structure

Scalar fields in nuclear matter: The roles of spontaneous chiral symmetry breaking and nucleon structure

Cold uniform matter and neutron stars in the quark–meson-coupling model

Nuclear matter in the chiral limit and the in-medium chiral condensate

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