Large-amplitude<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>collectivity in the neutron-rich oxygen isotope<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:m

Severyukhin, A. P.; Bender, M.; Flocard, H.; Heenen, Paul‐Henri

doi:10.1103/physrevc.75.064303

Cited by 3 publications

(2 citation statements)

References 41 publications

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“…Figure 1 illustrates, through a realistic calculation of the particlenumber restored deformation energy surface of 18 O, the impact of such poles for a functional containing a fractional power of the density matrix. The SLy4 parameterization of the standard Skyrme EDF is used in connection with a density-dependent pairing energy functional, which was used in many MR calculations before [67,68,69,70,71,72,73]. In practice, the integral over the gauge angle appearing in Eq.…”

Section: Impact Of the Poles On Pnr Energiesmentioning

confidence: 99%

Particle-number restoration within the energy density functional formalism

2009

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We give a detailed analysis of the origin of spurious divergences and finite steps that have been recently identified in particle-number restoration calculations within the nuclear energy density functional framework. We isolate two distinct levels of spurious contributions to the energy. The first one is encoded in the definition of the basic energy density functional itself whereas the second one relates to the canonical procedure followed to extend the use of the energy density functional to multi-reference calculations. The first level of spuriosity relates to the long-known self-interaction problem and to the newly discussed self-pairing interaction process which might appear when describing paired systems with energy functional methods using auxiliary reference states of Bogoliubov or BCS type. A minimal correction to the second level of spuriosity to the multi-reference nuclear energy density functional proposed in [D. Lacroix, T. Duguet, M. Bender, arXiv:0809.2041] is shown to remove completely the anomalies encountered in particle-number restored calculations. In particular, it restores sum-rules over (positive) particle numbers that are to be fulfilled by the particle-number-restored formalism. The correction is found to be on the order of several hundreds of keVs up to about 1 MeV in realistic calculations, which is small compared to the total binding energy, but often accounts for a substantial percentage of the energy gain from particle-number restoration and is on the same energy scale as the excitations one addresses with multi-reference energy density functional methods.

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Section: Impact Of the Poles On Pnr Energiesmentioning

confidence: 99%

Particle-number restoration within the energy density functional formalism

2009

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“…For fission of neutron-rich nuclei, however, it is not obvious whether this assumption is justified, and it may be more natural that the shape degrees of freedom for neutron and proton are treated separately. In fact, a two dimensional energy surface spanned by proton and neutron deformations has been drawn recently for light neutron-rich nuclei, such as 16 C and 20 O [12][13][14]. The difference in neutron and proton deformation parameters along a fission path for actinide nuclei has also been investigated in Refs.…”

Section: Introductionmentioning

confidence: 99%

Fission barriers in the neutron-proton isospin plane for heavy neutron-rich nuclei

Minato

Hagino

2008

Phys. Rev. C

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We discuss the sensitivity of fission barrier for heavy neutron-rich nuclei to fission paths in the two-dimensional neutron-proton quadrupole plane. To this end, we use the constrained Skyrme-Hartree-Fock + BCS method, and examine the difference of fission barriers obtained with three constraining operators, that is, the neutron, proton, and mass quadrupole operators. We investigate 220 U, 236 U, and 266 U, that is relevant to r-process nucleosynthesis. We find that the fission barrier heights are almost the same among the three constraining operators even for neutron-rich nuclei, indicating that the usual way to calculate fission barriers with the mass quadrupole operator is well justified. We also discuss the difference between proton and neutron deformation parameters along the fission paths.

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Algebraic Gorkov solution in finite systems for the separable pairing interaction

Betán

Repetto

2020

Nuclear Physics A

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An algebraic Quantum Field Theory formulation of separable pairing interaction for spherical finite systems is presented. The Lipkin formulation of the model Hamiltonian and model wave function is used. The Green function technique is applied to obtain the model energy through the spectral function. Closed equation for the many-body energy of the system is given and comparison with exact models are performed.

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Large-amplitudeQn-Qpcollectivity in the neutron-rich oxygen isotope

Cited by 3 publications

References 41 publications

Particle-number restoration within the energy density functional formalism

Particle-number restoration within the energy density functional formalism

Fission barriers in the neutron-proton isospin plane for heavy neutron-rich nuclei

Algebraic Gorkov solution in finite systems for the separable pairing interaction

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