Nuclear Shapes in Mean Field Theory

Åberg, Sven; Flocard, H.; Nazarewicz, W.

doi:10.1146/annurev.ns.40.120190.002255

Cited by 238 publications

(185 citation statements)

References 227 publications

(343 reference statements)

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“…(1), whereas the eigenvalues ǫ i of the mean-field Hamiltonian used to construct the Nilsson diagrams contain a contribution from the constraint [24].…”

Section: B Skyrme's Tensor Forcementioning

confidence: 99%

Tensor part of the Skyrme energy density functional. II. Deformation properties of magic and semi-magic nuclei

et al. 2009

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We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40, 50, 82, and 126 neutron or proton shell closures. We compare results obtained with three different families of Skyrme parameterizations whose tensor terms have been adjusted on properties of spherical nuclei:(i)T IJ interactions proposed in the first paper of this series [T. Lesinski et al., Phys. Rev. C 76, 014312 (2007)] which were constructed through a complete readjustment of the rest of the functional (ii) parameterizations whose tensor terms have been added perturbatively to existing Skyrme interactions, with or without readjusting the spin-orbit coupling constant. We analyse in detail the mechanisms at play behind the impact of tensor terms on deformation properties and how studying the latter can help screen out unrealistic parameterizations. It is expected that findings of the present paperare to a large extent independent of remaining deficiencies of the central and spin-orbit interactions, and will be of great value for the construction of future, improved energy functionals.

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“…(1), whereas the eigenvalues ǫ i of the mean-field Hamiltonian used to construct the Nilsson diagrams contain a contribution from the constraint [24].…”

Section: B Skyrme's Tensor Forcementioning

confidence: 99%

Tensor part of the Skyrme energy density functional. II. Deformation properties of magic and semi-magic nuclei

et al. 2009

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“…The Hartree-Fock-Bogoliubov (HFB) method with the Skyrme interactions is one of the standard approaches in nuclear structure research [1,2]. In the last two decades it has become possible to solve the HFB equations directly in the coordinate mesh space [3,4].…”

Section: Introductionmentioning

confidence: 99%

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

2001

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By performing fully 3D symmetry-unrestricted Skyrme-Hartree-FockBogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N = Z nuclei: 64 Ge, 68 Se, 72 Kr, 76 Sr, 80 Zr and 84 Mo. Results of calculation indicate that the oblate ground state of 68 Se is extremely soft against the Y 33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80 Zr is extremely soft against the Y 32 tetrahedral deformation.

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“…Indeed, all mean-field calculations [7][8][9][10] predict a coexistence of prolate and oblate shapes in this region of nuclei. There is also evidence to support shape coexistence in the light Pt (Z=78) nuclei [11][12][13].…”

mentioning

confidence: 97%