Towards a Hartree-Fock mass formula

Tondeur, F.; Goriely, Stéphane; Pearson, J. M.; Onsi, M.

doi:10.1103/physrevc.62.024308

Cited by 159 publications

(124 citation statements)

References 48 publications

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“…In order to meaningfully test predictions of nuclear masses for neutron-rich nuclei, we used the SLy4 Skyrme force parameterization [23], as this was adjusted with special emphasis on the properties of neutron matter. At present, there also exist Skyrme forces that were adjusted exclusively to nuclear masses [35]. These forces were used within a calculation scheme that was not focused on weakly-bound nuclei.…”

Section: Resultsmentioning

confidence: 99%

Systematic study of deformed nuclei at the drip lines and beyond

et al. 2003

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An improved prescription for choosing a transformed harmonic oscillator (THO) basis for use in configuration-space Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the results of coordinate-space HFB calculations for spherical nuclei, including those that are weakly bound. Furthermore, it is fully automated, facilitating its use in systematic investigations of large sets of nuclei throughout the periodic table. As a first application, we have carried out calculations using the Skyrme Force SLy4 and volume pairing, with exact particle number projection following application of the Lipkin-Nogami prescription. Calculations were performed for all even-even nuclei from the proton drip line to the neutron drip line having proton numbers Z = 2, 4, . . . , 108 and neutron numbers N = 2, 4, . . . , 188. We focus on nuclei near the neutron drip line and find that there exist numerous particle-bound even-even nuclei (i.e., nuclei with negative Fermi energies) that have at the same time negative two-neutron separation energies. This phenomenon, which was earlier noted for light nuclei, is attributed to bound shape isomers beyond the drip line.

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Section: Resultsmentioning

confidence: 99%

Systematic study of deformed nuclei at the drip lines and beyond

et al. 2003

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“…It is known that the blocking procedure often causes an excessive reduction of the pairing gap in systems with odd particle number. One device to avoid an excessive even-odd staggering in nuclear binding was to assume stronger (typically by ∼ 5%) pairing interaction for odd-particle-number systems, see [25]. Since the main predictions of this work are Q α values in which the effect of stronger pairing in parent and daughter nuclei partially cancels out, we postpone for the future a more elaborate treatment of this effect.…”

Section: The Modelmentioning

confidence: 99%

Qαvalues in superheavy nuclei from the deformed Woods-Saxon model

2014

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Masses of superheavy (SH) nuclei with Z = 98−128, including odd and odd-odd nuclei, are systematically calculated within the microscopic-macroscopic model based on the deformed Woods-Saxon potential. Ground states are found by minimizing energy over deformations and configurations. Pairing in odd particle-number systems is treated either by blocking or by adding the BCS energy of the odd quasiparticle. Three new parameters are introduced which may be interpreted as the constant mean pairing energies for even-odd, odd-even and odd-odd nuclei. They are adjusted by a fit to masses of heavy nuclei. Other parameters of the model, fixed previously by fitting masses of even-even heavy nuclei, are kept unchanged. With this adjustment, the masses of SH nuclei are predicted and then used to calculate α-decay energies to be compared to known measured values. It turns out that the agreement between calculated Qα values with data in SH nuclei is better than in the region of the mass fit. The model overestimates Qα for Z = 111 − 113. Ground state (g.s.) configurations in some SH nuclei hint to a possible α-decay hindrance. The calculated configurationpreserving transition energies show that in some cases this might explain discrepancies, but more data is needed to explain the situation.

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“…The TF theory is of the macro-micro model type [46], in which the macroscopic part of mass was obtained with the use of the Thomas-Fermi approximation. Finally, the microscopic model HF is the Hartree-Fock-BCS approach [47], in which a 10-parameter Skyrme effective interaction has been used to obtain the mean field and a 4-parameter δ-function has been taken to describe the pairing interaction. Experimental masses used in Figs.…”

Section: Massmentioning

confidence: 99%

Theoretical description of superheavy nuclei

Sobiczewski¹

2011

Radiochimica Acta

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Superheavy nuclei and elements / Nuclear mass / α-Decay energy / α-Decay half-life / Single-particle spectra / α-Decay chains Summary. A short review of the studies of superheavy nuclei (SHN), done recently in our theoretical group of Warsaw, is presented. Main attention is given to description of the properties of SHN. The description is performed by macroscopic-microscopic methods. Such properties as mass, α-decay energy and α-decay half-life are considered. Special attention is devoted to the analysis of the half-life. Although mainly treated in a phenomenological way, the role of the microscopic structure of a nucleus in this quantity is tested. It is found that this structure may significantly change the half-life of nuclei with the odd nucleon (or nucleons).

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Towards a Hartree-Fock mass formula

Cited by 159 publications

References 48 publications

Systematic study of deformed nuclei at the drip lines and beyond

Systematic study of deformed nuclei at the drip lines and beyond

Qαvalues in superheavy nuclei from the deformed Woods-Saxon model

Theoretical description of superheavy nuclei

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