Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line

Dobaczewski, J.; Flocard, H.; Treiner, J.

doi:10.1016/0375-9474(84)90433-0

Cited by 989 publications

(1,284 citation statements)

References 19 publications

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“…As in our previous studies, we have chosen a densitydependent zero-range interaction to describe the pairing correlations [49,53,65], which leads to a functional of the form…”

Section: The Pairing Energymentioning

confidence: 99%

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

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This article extends previous studies on the effect of tensor terms in the Skyrme energy density functional by breaking of time-reversal invariance. We have systematically probed the impact of tensor terms on properties of superdeformed rotational bands calculated within the cranked HartreeFock-Bogoliubov approach for different parameterizations covering a wide range of values for the isoscalar and isovector tensor coupling constants. We analyze in detail the contribution of the tensor terms to the energies and dynamical moments of inertia and study their impact on quasi-particle spectra. Special attention is devoted to the time-odd tensor terms, the effect of variations of their coupling constants and finite-size instabilities.

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“…As in our previous studies, we have chosen a densitydependent zero-range interaction to describe the pairing correlations [49,53,65], which leads to a functional of the form…”

Section: The Pairing Energymentioning

confidence: 99%

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

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“…where ρ st is the saturation density of nuclear matter that approaches the density inside the nucleus, β = 1 (usually), and V 1 = 0, 1, or 1/2 for volume-, surface-, or mixtype pairing, andρ q (r) is the paring density for protons and neutrons [35]. The volume pairing interaction acts primarily inside the nuclear volume, while the surface pairing acts on the nuclear surface.…”

Section: A the Skyrme Energy Density Functionalmentioning

confidence: 99%

Toroidal high-spin isomers in the nucleus 120304

2017

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Background: Strongly deformed oblate superheavy nuclei form an intriguing region where the toroidal nuclear structures may bifurcate from the oblate spheroidal shape. The bifurcation may be facilitated when the nucleus is endowed with a large angular moment about the symmetry axis with I = Iz. The toroidal high-K isomeric states at their local energy minima can be theoretically predicted using the cranked self-consistent Skyrme-Hartree-Fock method.Purpose: We use the cranked Skyrme-Hartree-Fock method to predict the properties of the toroidal high-spin isomers in the superheavy nucleus 304 120184.Method: Our method consists of three steps: first, we use the deformation-constrained Skyrme-Hartree-FockBogoliubov approach to search for the nuclear density distributions with toroidal shapes. Next, using these toroidal distributions as starting configurations we apply an additional cranking constraint of a large angular momentum I = Iz about the symmetry z-axis and search for the energy minima of the system as a function of the deformation. In the last step, if a local energy minimum with I = Iz is found, we perform at this point the cranked symmetry-and deformation-unconstrained Skyrme-Hartree-Fock calculations to locate a stable toroidal high-spin isomeric state in free convergence. Results:We have theoretically located two toroidal high-spin isomeric states of 304 120184 with an angular momentum I=Iz=81 (proton 2p-2h, neutron 4p-4h excitation) and I=Iz=208 (proton 5p-5h, neutron 8p-8h) at the quadrupole moment deformations Q20 = −297.7 b and Q20 = −300.8 b with energies 79.2 MeV and 101.6 MeV above the spherical ground state, respectively. The nuclear density distributions of the toroidal high-spin isomers 304 120184(Iz=81 and 208 ) have the maximum density close to the nuclear matter density, 0.16 fm −3 , and a torus major to minor radius aspect ratio R/d = 3.25. Conclusions:We demonstrate that aligned angular momenta of Iz=81 and 208 arising from multi-particlemulti-hole excitations in the toroidal system of 304 120184 can lead to high-spin isomeric states, even though the toroidal shape of 304 120184 without spin is unstable. Toroidal energy minima without spin may be possible for superheavy nuclei with higher atomic numbers, Z 122, as reported previously [7].

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“…The Hartree-Fock-Bogoliubov (HFB) theory in the coordinate space can describe weakly bound superfluid system wth the scattering wave functions [4,5]. We solve the HFB equation with the following scattering boundary condition on the Bogoliubov quasi-paticle,…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Pairing Correlation Effects on Width of Quasi-Particle Resonance in Neutron Drip-Line Nuclei

Kobayashi¹

2017

Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)

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We focus on the quasi-particle resonance in weakly bound superfluid nuclei. We discuss effects of pairing correlation on the resonance width. We consider the 46 Si + n system in order to discuss low-lying p-wave quasi-particle resonance. To formulate this problem, we solve the Hartree-FockBogoliubov equation in the coordinate space with the scattering boundary condition. The phase shift, the resonance width and the resonance energy are calculated. We found that the pairing correlation has an effect to reduce the width of quasi-particle resonance which originates from a particle-like orbit.

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Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line

Cited by 989 publications

References 19 publications

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Toroidal high-spin isomers in the nucleus 120304

Pairing Correlation Effects on Width of Quasi-Particle Resonance in Neutron Drip-Line Nuclei

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