Fission half-lives of superheavy nuclei in a microscopic approach

Warda, M.; Egido, J.L.

doi:10.1103/physrevc.86.014322

Cited by 155 publications

(219 citation statements)

References 109 publications

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“…The predicted α decay HLs are shorter than fission ones in proton rich isotones. Thus, it can be noticed that fission is the dominant decay channel in three regions [24]. First, in the vicinity of deformed magic nucleus 270 Hs symmetric fission can be found.…”

Section: The Gogny Functionalmentioning

confidence: 99%

“…An early study of SH region in the HFB model has been performed by Bruyères-le-Châtel group in [71,72,73,74 and Lublin-Madrid group in [76]. The most thorough investigation using the D1S Gogny interaction in the axial symmetry regime has been published in [24]. Details of the method are described in [51].…”

Section: The Gogny Functionalmentioning

confidence: 99%

“…In heavier nuclides the width of the octupole deformed hump in the fission path is comparable to the reflection symmetric one and asymmetric fission can be observed as a dominant fission channel. Also triaxial shapes can decrease the height of the second barrier but at the cost of increasing the inertia and therefore the contribution to the action remains unchanged [24].…”

Section: The Gogny Functionalmentioning

confidence: 99%

“…Since then substantial progress has been made in the development of models and methods especially by Lublin-Madrid collaboration [23,24], LublinOak Ridge-Warsaw group [25,26,27,28,29,30], and Erlangen-Darmstadt team [31] -energy density functional (EDF) HFB approaches -and in the MM model by the Warsaw [32,33,34], Los Alamos school [35] and the relativistic mean-field (RMF) [36].…”

Section: Introductionmentioning

confidence: 99%

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Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

et al. 2015

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This is a short review of methods and results of calculations of fission barriers and fission halflives of even-even superheavy nuclei. An approvable agreement of the following approaches is shown and discussed: The macroscopic-microscopic approach based on the stratagem of the shell correction to the liquid drop model and a vantage point of microscopic energy density functionals of Skyrme and Gogny type selfconsistently calculated within Hartree-Fock-Bogoliubov method. Mass parameters are calculated in the Hartree-Fock-Bogoliubov cranking approximation. A short part of the paper is devoted to the nuclear fission dynamics. We also discuss the predictive power of Skyrme functionals applied to key properties of the fission path of 266 Hs. It applies the standard techniques of error estimates in the framework of a χ 2 analysis.

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Section: The Gogny Functionalmentioning

confidence: 99%

Section: The Gogny Functionalmentioning

confidence: 99%

Section: The Gogny Functionalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

et al. 2015

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“…In practice, this can be very effectively achieved by introducing a small set of collective variables such as multipole moments, pairing fields, etc., and precalculating the potential energy surface of the nucleus as a function of these variables. This strategy has proven especially fruitful to compute spontaneous fission halflives through simple multi-dimensional quantum tunneling [2,7,[26][27][28][29][30][31][32]. As we will show in this work, it is also the ideal framework to compute charge and mass distributions.…”

Section: Introductionmentioning

confidence: 99%

Fission fragment charge and mass distributions inPu239(n,f)in the adiabatic nuclear energy density functional theory

Regnier

Dubray

Schunck³

et al. 2016

Phys. Rev. C

145

120

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Background: Accurate knowledge of fission fragment yields is an essential ingredient of numerous applications ranging from the formation of elements in the r-process to fuel cycle optimization for nuclear energy. The need for a predictive theory applicable where no data is available, together with the variety of potential applications, is an incentive to develop a fully microscopic approach to fission dynamics.Purpose: In this work, we calculate the pre-neutron emission charge and mass distributions of the fission fragments formed in the neutron-induced fission of 239 Pu using a microscopic method based on nuclear density functional theory (DFT).Methods: Our theoretical framework is the nuclear energy density functional (EDF) method, where large amplitude collective motion is treated adiabatically using the time dependent generator coordinate method (TDGCM) under the Gaussian overlap approximation (GOA). In practice, the TDGCM is implemented in two steps. First, a series of constrained EDF calculations map the configuration and potential energy landscape of the fissioning system for a small set of collective variables (in this work, the axial quadrupole and octupole moments of the nucleus). Then, nuclear dynamics is modeled by propagating a collective wave packet on the potential energy surface. Fission fragment distributions are extracted from the flux of the collective wave packet through the scission line.Results: We find that the main characteristics of the fission charge and mass distributions can be well reproduced by existing energy functionals even in two-dimensional collective spaces. Theory and experiment agree typically within 2 mass units for the position of the asymmetric peak. As expected, calculations are sensitive to the structure of the initial state and the prescription for the collective inertia. We emphasize that results are also sensitive to the continuity of the collective landscape near scission.Conclusions: Our analysis confirms that the adiabatic approximation provides an effective scheme to compute fission fragment yields. It also suggests that, at least in the framework of nuclear DFT, three-dimensional collective spaces may be a prerequisite to reach 10% accuracy in predicting pre-neutron emission fission fragment yields.

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Microscopic Calculation of Fission Fragment Mass Distributions at Increasing Excitation Energies

Schunck¹,

Matheson²,

Regnier³

2020

Compound-Nuclear Reactions

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Fission half-lives of superheavy nuclei in a microscopic approach

Cited by 155 publications

References 109 publications

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

Fission fragment charge and mass distributions inPu239(n,f)in the adiabatic nuclear energy density functional theory

Microscopic Calculation of Fission Fragment Mass Distributions at Increasing Excitation Energies

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