Statistical Theory of Nuclei

Brueckner, Keith A.; Buchler, J. R.; Jorna, S.; Lombard, R.J.

doi:10.1103/physrev.171.1188

Cited by 204 publications

(108 citation statements)

References 21 publications

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“…al. [79,80,81,82,83], provides a convenient tool in seeking approximate solution for heavy nuclei. There is a variety of trial density distribution functions suitably parameterized to describe light, medium and heavy nuclei.…”

Section: Energy Density Functional and Variational Approachmentioning

confidence: 99%

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Papazoglou

Moustakidis

2014

Phys. Rev. C

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We employ a variational method, in the framework of the Thomas-Fermi approximation, to study the effect of the symmetry energy on the neutron skin thickness and the symmetry energy coefficients of various neutron rich nuclei. We concentrate our interest on 208 Pb, 124 Sn, 90 Zr, and 48 Ca, although the method can be applied in the totality of medium and heavy neutron rich nuclei. Our approach has the advantage that the isospin asymmetry function α(r), which is the key quantity to calculate isovector properties of various nuclei, is directly related with the symmetry energy as a consequence of the variational principle. Moreover, the Coulomb interaction is included in a self-consistent way and its effects can be separated easily from the nucleon-nucleon interaction. We confirm, both qualitatively and quantitatively, the strong dependence of the symmetry energy on the various isovector properties for the relevant nuclei, using possible constraints between the slope and the value of the symmetry energy at the saturation density. PACS number(s): 21.65. Ef, 21.65.Mn, 21.65.Cd, 21.10.Gv

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Section: Energy Density Functional and Variational Approachmentioning

confidence: 99%

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Papazoglou

Moustakidis

2014

Phys. Rev. C

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“…A more fundamental description requires to use microscopically derived in-medium interactions as e.g. the Brueckner G-matrix accounting for medium effects on the level of ladder diagrams [4,5]. Theoretically, such a full scale many-body calculation is not feasible as a standard approach to finite nuclei, except for selected cases [6,7].…”

Section: Introductionmentioning

confidence: 99%

Hartree-Fock calculations in the density matrix expansion approach

1998

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The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized Slater approximation is used for the density matrix where an effective local Fermi momentum is chosen such that the next to leading order off-diagonal term is canceled. Hartree-Fock equations are derived incorporating the momentum structure of the underlying finite range interaction. For applications a density dependent effective interaction is determined from a G-matrix which is renormalized such that the saturation properties of symmetric nuclear matter are reproduced. Intending applications to systems far off stability special attention is paid to the low density regime and asymmetric nuclear matter. Results are compared to predictions obtained from Skyrme interactions. The ground state properties of stable nuclei are well reproduced without further adjustments of parameters. The potential of the approach is further exemplified in calculations for A=100. . .140 tin isotopes. Rather extended neutron skins are found beyond 130 Sn corresponding to solid layers of neutron matter surrounding a core of normal composition.21.60-n,21.60Jz,21.10.Dr

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“…Considering the pieces of nuclear matter with density ρ 0 (x) (8) one can use for the matrix element V (x) of the nuclear Hamiltonian the corresponding nuclear matter energy from the method of Brueckner et al [13,14]. In this energy-density method the expression for V (x) reads…”

Section: Symmetry Energy Parameters Of Finite Nuclei In Cdfmmentioning

confidence: 99%

“…In the present work (see also [17,18]) the symmetry energy will be studied in a wide range of finite nuclei on the basis of the Brueckner energy-density functional for nuclear matter [13,14] and using the coherent density fluctuation model (CDFM) (e.g., Refs. [15,16]).…”

Section: Introductionmentioning

confidence: 99%

Symmetry energy and surface properties of neutron-rich exotic nuclei

Gaidarov

Antonov

Sarriguren

et al. 2014

AIP Conference Proceedings

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Abstract. The symmetry energy, the neutron pressure and the asymmetric compressibility of spherical Ni, Sn, and Pb and deformed Kr and Sm neutron-rich even-even nuclei are calculated within the coherent density fluctuation model using the symmetry energy as a function of density within the Brueckner energy-density functional. The correlation between the thickness of the neutron skin and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for isotopic chains of these nuclei in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The mass dependence of the nuclear symmetry energy and the neutron skin thickness are also studied together with the role of the neutron-proton asymmetry. The studied correlations reveal a smoother behavior in the case of spherical nuclei than for deformed ones. We also notice that the neutron skin thickness obtained for 208 Pb with SLy4 force is found to be in a good agreement with the recent data. In addition to the interest that this study may have by itself, we give some numerical arguments in proof of the existence of peculiarities of the studied quantities in Ni and Sn isotopic chains that are not present in the Pb chain.

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Statistical Theory of Nuclei

Cited by 204 publications

References 21 publications

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Effects of the symmetry energy on the isovector properties of neutron-rich nuclei within a Thomas-Fermi approach

Hartree-Fock calculations in the density matrix expansion approach

Symmetry energy and surface properties of neutron-rich exotic nuclei

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