Density functional approach to quantumhadrodynamics: Theoretical foundations and construction of extended thomas-fermi models

Speicher, Christoph; Dreizler, R. M.; Engel, E.

doi:10.1016/0003-4916(92)90049-r

Cited by 56 publications

(60 citation statements)

References 42 publications

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“…In the framework of relativistic density functional theory [6,24,25,26], the density-dependent couplings are functions of the 4-current j µ :…”

Section: Density-dependent Point Coupling Approachmentioning

confidence: 99%

“…In our case the exchange-correlation terms of the nuclear density functional are determined within LDA by equating the corresponding self-energies in the single-nucleon Dirac equation (25), with those arising from the in-medium chiral perturbation theory calculation of πN∆-dynamics in homogeneous isospin symmetric and asymmetric nuclear matter. Steps beyond the LDA will be taken by adding surface terms involving derivatives of the density.…”

Section: The Exchange-correlation Term: In-medium Chiral Perturbationmentioning

confidence: 99%

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Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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“…In the framework of relativistic density functional theory [6,24,25,26], the density-dependent couplings are functions of the 4-current j µ :…”

Section: Density-dependent Point Coupling Approachmentioning

confidence: 99%

Section: The Exchange-correlation Term: In-medium Chiral Perturbationmentioning

confidence: 99%

Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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“…For a detailed discussion of the RMF as an energy density functional theory, see Refs. [66][67][68][69]. The energy functional of the nucleus…”

Section: B Relativistic Mean-field Modelmentioning

confidence: 99%

Shell corrections of superheavy nuclei in self-consistent calculations

et al. 2000

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Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and Relativistic Mean-Field theories. Due to the presence of low-lying proton continuum resulting in a free particle gas, special attention is paid to the treatment of single-particle level density. To cure the pathological behavior of shell correction around the particle threshold, the method based on the Green's function approach has been adopted. It is demonstrated that for the vast majority of Skyrme interactions commonly employed in nuclear structure calculations, the strongest shell stabilization appears for Z=124, and 126, and for N =184. On the other hand, in the relativistic approaches the strongest spherical shell effect appears systematically for Z=120 and N =172. This difference has probably its roots in the spin-orbit potential. We have also shown that, in contrast to shell corrections which are fairly independent on the force, macroscopic energies extracted from self-consistent calculations strongly depend on the actual force parametrisation used. That is, the A and Z dependence of mass surface when extrapolating to unknown superheavy nuclei is prone to significant theoretical uncertainties. PACS number(s): 21.10. Dr, 21.10.Pc, 21.60.Jz, 27.90.+b

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“…The relativistic extended Thomas-Fermi (RETF) method [33,34,35] is a refinement of the RTF method, which incorporates gradient corrections of orderh 2 to the pure RTF approximation. It was derived only a few years ago and it has since been applied in calculations of ground-state binding energies and radii of finite nuclei [34,36,37] and in investigations of nuclear surface properties [34,37,38,39].…”

Section: Introductionmentioning

confidence: 99%