Finite nuclei in a pure fermionic chiral field theory

Koch, Volker; Blättel, Bernard; Mosel, U.

doi:10.1016/0370-2693(87)91059-8

Cited by 4 publications

(3 citation statements)

References 7 publications

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“…Pairing for the nucleons is not yet invoked. The negative energy states are, as in [17] and for the previous nuclear matter case, treated in the LDA approximation with a spatially dependent effective mass m * ( r). The positive energy states are calculated explicitly and selfconsistently.…”

Section: Finite Nucleimentioning

confidence: 99%

“…The starting point of our investigations is based upon the nonlinear chiral invariant model of Koch et al [16,17], which we formulate in its SU(2) V ⊗ SU(2) A form (where m 0 = 0):…”

Section: Introductionmentioning

confidence: 99%

“…the nucleon in-medium self-energy) resulting from the change of the condensate. Nonlinear NJL models for nucleon degrees of freedom have been applied to nuclear matter [16,22,23,24] and, in a simple version, to finite nuclei [17]. Nucleonic NJL models provide an attempt to incorporate chiral symmetry and its dynamical breaking within the framework of relativistic mean-field models.…”

Section: Introductionmentioning

confidence: 99%

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A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables

Bürvenich

Madland

2003

Nuclear Physics A

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We test the compatibility of chiral symmetry, dynamic mass generation of the nucleon due to spontaneous breaking of chiral symmetry, and the description of finite nuclear systems by employing an NJL model understood as a chiral invariant effective theory for nucleons. We apply the model to nuclear matter as well as to finite nuclei. In the latter case, the model is adjusted to nuclear ground-state observables. We treat the case of a pure chiral theory and the physically more realistic case where a portion of the nucleon mass (160 MeV) explicitly breaks chiral symmetry. The best version of this current model is found to deliver reasonably good results simultaneously for both finite nuclei and the nucleon mass, which supports our motivation of probing a link between low-momentum QCD and the nuclear many-body problem. However, the observables calculated for finite nuclei are not as good as those coming from existing relativistic mean field models without explicit chiral symmetry.

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Section: Finite Nucleimentioning

confidence: 99%

“…The starting point of our investigations is based upon the nonlinear chiral invariant model of Koch et al [16,17], which we formulate in its SU(2) V ⊗ SU(2) A form (where m 0 = 0):…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables

Bürvenich

Madland

2003

Nuclear Physics A

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QCD in the Hartree approximation

Biro

1989

Annals of Physics

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Metastable quark-antiquark droplets within the Nambu–Jona-Lasinio model

Mishustin¹,

Satarov²,

Stöcker³

et al. 1999

Phys. Rev. C

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Chemically nonequilibrated quark-antiquark matter is studied within the Nambu-Jona-Lasinio model. The equations of state of nonstrange (qϭu,d) and strange (qϭs) qq systems are calculated in the mean-field approximation. The existence of metastable bound states with zero pressure is predicted at finite densities and temperatures TՇ50 MeV. It is shown that the minimum energy per particle occurs for symmetric systems, with equal densities of quarks and antiquarks. At Tϭ0 these metastable states have quark number densities of about 0.5 fm Ϫ3 for qϭu,d and of 1 fm Ϫ3 for qϭs. A first order chiral phase transition is found at finite densities and temperatures. The critical temperature for this phase transition is approximately 75 MeV ͑90 MeV͒ for the nonstrange ͑strange͒ baryon-free quark-antiquark matter. For realistic choices of parameters, the model does not predict a phase transition in chemically equilibrated systems. Possible decay channels of the metastable qq droplets and their signatures in relativistic heavy-ion collisions are discussed. ͓S0556-2813͑99͒00406-9͔ PACS number͑s͒: 12.38. Mh, 11.30.Qc, 12.39.Fe, 25.75.Ϫq 1 Lattice calculations show that at temperatures TՇ150 MeV the gluons acquire a large effective mass due to the color screening effects. In the present work, dealing mostly with such moderate temperatures, we assume that gluonic degrees of freedom are suppressed.

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Finite nuclei in a pure fermionic chiral field theory

Cited by 4 publications

References 7 publications

A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables

A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables

QCD in the Hartree approximation

Metastable quark-antiquark droplets within the Nambu–Jona-Lasinio model

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