Relativistic nuclear energy density functional constrained by low-energy QCD

Finelli, Paolo; Kaiser, Norbert; Vretenar, Dario; Weise, W.

doi:10.1016/j.nuclphysa.2006.02.007

Cited by 78 publications

(146 citation statements)

References 83 publications

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“…It is interesting to point out that this approach where pion loops are incorporated on top of background scalar and vector mean-fields has some similarities with the approach of Ref. [16] based on a relativistic density functional. There are however important differences that will be discussed in Sec.…”

Section: Introductionmentioning

confidence: 87%

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

Chanfray

Ericson

2007

Phys. Rev. C

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We derive the equation of state of symmetric nuclear matter in a relativistic theory with σ and ω exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the short-range part of the spin-isospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.

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Section: Introductionmentioning

confidence: 87%

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

Chanfray

Ericson

2007

Phys. Rev. C

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“…This finding can be taken as an a posteriori justification of the assumptions made in ref. [20] about the in-medium scalar mean-field.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

In-medium chiral condensate beyond linear density approximation

2008

Self Cite

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In-medium chiral perturbation theory is used to calculate the density dependence of the quark condensate qq . The corrections beyond the linear density approximation are obtained by differentiating the interaction contributions to the energy per particle of isospin-symmetric nuclear matter with respect to the pion mass. Our calculation treats systematically the effects from one-pion exchange (with m π -dependent vertex corrections), iterated 1π-exchange, and irreducible 2π-exchange including intermediate ∆(1232)-isobar excitations, with Pauli-blocking corrections up to three-loop order. We find a strong and non-linear dependence of the "dropping" in-medium condensate on the actual value of the pion (or light quark) mass. In the chiral limit, m π = 0, chiral restoration appears to be reached already at about 1.5 times normal nuclear matter density. By contrast, for the physical pion mass, m π = 135 MeV, the in-medium condensate stabilizes at about 60% of its vacuum value above that same density. Effects from 2π-exchange with virtual ∆(1232)-isobar excitations turn out to be crucial in generating such pronounced deviations from the linear density approximation above ρ 0 . The hindered tendency towards chiral symmetry restoration provides a justification for using pions and nucleons as effective low-energy degrees of freedom at least up to twice nuclear matter density.PACS: 12.38.Bx, 21.65.+f Keywords: In-medium chiral condensate, long-range correlations in nuclear matter from oneand two-pion exchange.

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“…Unlike in the nonlinear point-coupling RMF model, the densitydependent point-coupling RMF model used here includes only second-order interaction terms with densitydependent couplings G i (ρ) and D i (ρ) that are determined from finite-density QCD sum rules and in-medium chiral perturbation theory [52,53].…”

Section: Lagrangian Densitymentioning

confidence: 99%

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

2007

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Using various relativistic mean-field models, including the nonlinear ones with meson field selfinteractions, those with density-dependent meson-nucleon couplings, and the point-coupling models without meson fields, we have studied the isospin-dependent bulk and single-particle properties of asymmetric nuclear matter. In particular, we have determined the density dependence of nuclear symmetry energy from these different relativistic mean-field models and compare the results with the constraints recently extracted from analyses of experimental data on isospin diffusion and isotopic scaling in intermediate-energy heavy ion collisions as well as from measured isotopic dependence of the giant monopole resonances in even-A Sn isotopes. Among the 23 parameter sets in the relativistic mean-filed model that are commonly used for nuclear structure studies, only a few are found to give symmetry energies that are consistent with the empirical constraints. We have also studied the nuclear symmetry potential and the isospin-splitting of the nucleon effective mass in isospin asymmetric nuclear matter. We find that both the momentum dependence of the nuclear symmetry potential at fixed baryon density and the isospin-splitting of the nucleon effective mass in neutron-rich nuclear matter depend not only on the nuclear interactions but also on the definition of the nucleon optical potential.

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Relativistic nuclear energy density functional constrained by low-energy QCD

Cited by 78 publications

References 83 publications

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

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

In-medium chiral condensate beyond linear density approximation

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

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