Multidimensional fission model with a complex absorbing potential

Scamps, Guillaume; Hagino, K.

doi:10.1103/physrevc.91.044606

Cited by 29 publications

(30 citation statements)

References 49 publications

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“…Eventually, the number of particles in the fragments themselves should also be computed by projecting the full wave-function on good particle number. Each point of the frontier line would therefore be associated with a distribution of fragment mass and charges [21]. Taking into account this distribution would probably have the opposite effect of the projection on good particle number for the fissioning nucleus and should broaden the fission yields.…”

Section: Fission Fragment Distributionsmentioning

confidence: 99%

“…This approach automatically includes onebody dissipation effects: as the nucleus changes its shape, single-particle excitations (or quasi-particle excitations when pairing correlations are taken into account) are included, which slows the collective motion. TDDFT is probably the most promising approach to describe the structure of the fission fragments and various recent works have shown extremely encouraging results [19][20][21][22]. However, realistic simulation of a single fission event including full symmetry breaking and full treatment of pairing correlations is at the limit of what current supercomputers can handle [22].…”

Section: Introductionmentioning

confidence: 99%

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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

142

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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Section: Fission Fragment Distributionsmentioning

confidence: 99%

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

142

120

View full text Add to dashboard Cite

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“…In the precedent study [21], we tested this method in a model case consisting of a schematic barrier. In the present study, we use a more realistic potential using the constrained Hartree-Fock+BCS theory.…”

Section: Resultsmentioning

confidence: 99%

Fission life-time calculation using a complex absorbing potential

Scamps

Hagino

2016

EPJ Web of Conferences

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“…Recently, we have investigated this problem for the 40 Ca+ 96 Zr system [32]. By including the multi-neutron transfer process in the coupled-channels approach, we have found that the coupling strengths for the transfer couplings, which reproduce the transfer cross sections, largely underestimate fusion cross sections (see Fig.…”

Section: Interplay Between Fusion and Transfermentioning

confidence: 99%

“…3). To this end, we have included one octupole phonon excitation in 40 Ca, the octupole phonon excitations in 96 Zr up to the three-phonon levels, and the multi-nucleon transfer process up to three-neutron transfer, with both simultaneous and direct two-neutron transfer couplings [32]. We have assumed a transfer to a single effective channel for each transfer partition, and set its energy to be the same as the optimum Q-value, Q = 0.…”

Section: Interplay Between Fusion and Transfermentioning

confidence: 99%

Evolving theoretical descriptions of heavy-ion fusion: from phenomenological to microscopic approaches

Hagino

2017

EPJ Web Conf.

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Abstract. We overview the current status of theoretical approaches for heavy-ion fusion reactions at subbarrier energies. We particularly discuss theoretical challenges in the coupled-channels approach, that include i) a description of deep subbarrier hindrance of fusion cross sections, ii) the role of nuclear dissipation, iii) fusion of unstable nuclei, and iv) an interplay between fusion and multi-nucleon transfer processes. We also present results of a semi-microscopic approach to heavy-ion fusion reactions, that combines the coupled-channels approach with state-of-the-art microscopic nuclear structure calculations.

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Multidimensional fission model with a complex absorbing potential

Cited by 29 publications

References 49 publications

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

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

Fission life-time calculation using a complex absorbing potential

Evolving theoretical descriptions of heavy-ion fusion: from phenomenological to microscopic approaches

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