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The most recent parametrizations D1S, D1N and D1M of the Gogny energy density functional are used to describe fission in the isotopes $^{232-280}$ U. Fission paths, collective masses and zero point quantum corrections, obtained within the…

Nuclear Theory · Physics 2014-05-27 R. Rodriguez-Guzman , L. M. Robledo

We review the prediction of fission properties of super-heavy elements (SHE) by self-consistent mean-field models thereby concentrating on the widely used Skyrme-Hartree-Fock (SHF) approach. We explain briefly the theoretical tools: the SHF…

Nuclear Theory · Physics 2018-04-04 P. -G. Reinhard

The Skyrme nuclear energy density functional theory (DFT) is used to model neutron-induced fission in actinides. This paper focuses on the numerical implementation of the theory. In particular, it reports recent advances in DFT code…

Nuclear Theory · Physics 2015-06-12 N. Schunck

Modeling fission properties, such as barriers and rates, is highly challenging. The most microscopic methods available are based on energy density functionals (EDFs) and rely on a limited set of collective coordinates to describe the…

Nuclear Theory · Physics 2026-04-29 Adrián Sánchez-Fernández , Wouter Ryssens , Stéphane Goriely

The decomposition of nuclear symmetry energy into spin and isospin components is discussed to elucidate the underlying properties of the NN bare interaction. This investigation was carried out in the framework of the Brueckner-Hartree-Fock…

Nuclear Theory · Physics 2023-07-12 Wenmei Guo , M. Colonna , V. Greco , U. Lombardo , H. J. Schulze

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for…

Nuclear Theory · Physics 2013-10-16 Takashi Nakatsukasa

Although nuclear fission can be understood qualitatively as an evolution of the nuclear shape, a quantitative description has proven to be very elusive. In particular, until now, there exists no model with demonstrated predictive power for…

Nuclear Theory · Physics 2011-04-05 Jorgen Randrup , Peter Moller

Systematic calculations of fission barriers allowing for triaxial deformation are performed for even-even superheavy nuclei with charge number $Z=112-120$ using three classes of covariant density functional models. The softness of nuclei in…

Nuclear Theory · Physics 2015-06-05 H. Abusara , A. V. Afanasjev , P. Ring

We present a description of nuclear spontaneous fission, and generally of quantum tunneling, in terms of instantons - periodic imaginary-time solutions to time-dependent mean-field equations - that allows for a comparison with more familiar…

Nuclear Theory · Physics 2008-11-26 J. Skalski

Thermal multifragmentation of hot nuclei is interpreted as the nuclear liquid--fog phase transition deep inside the spinodal region. The experimental data for p(8.1GeV) + Au collisions are analyzed. It is concluded that the decay process of…

An outstanding problem in the theory of nuclear fission is to understand the Hamiltonian dynamics at the scission point. In this work the fissioning nucleus is modeled in self-consistent mean-field theory as a set of Generator Coordinate…

Nuclear Theory · Physics 2019-08-14 G. F. Bertsch , W. Younes , L. M. Robledo

We computed a new set of static fission properties suited for r-process calculations. The potential energy surfaces and collective inertias of 3640 nuclei in the superheavy region are obtained from Self-Consistent Mean-Field calculations…

Nuclear Theory · Physics 2018-04-04 Samuel A. Giuliani , Gabriel Martinez-Pinedo , Luis M. Robledo

The dependence of fission barriers on the excitation energy of the compound nucleus impacts the survival probability of superheavy nuclei synthesized in heavy-ion fusion reactions. In this work, we investigate the isentropic fission…

Nuclear Theory · Physics 2009-06-30 J. C. Pei , W. Nazarewicz , J. A. Sheikh , A. K. Kerman

After shortly analyzing data relevant to fission hindrance of odd-A nuclei and high-$K$ isomers in superheavy (SH) region we point out the inconsistency of current fission theory and propose an approach based on the instanton formalism. A…

Nuclear Theory · Physics 2018-05-09 Wojciech Brodziński , Piotr Jachimowicz , Michał Kowal , Janusz Skalski

The saddle-to-scission dynamics of the induced fission process is explored using a microscopic finite-temperature model based on time-dependent nuclear density functional theory (TDDFT), that allows to follow the evolution of local…

Nuclear Theory · Physics 2023-07-27 B. Li , D. Vretenar , Z. X. Ren , T. Nikšić , J. Zhao , P. W. Zhao , J. Meng

We found that a true ternary fission with formation of a heavy third fragment (a new type of radioactivity) is quite possible for superheavy nuclei due to the strong shell effects leading to a three-body clusterization with the two doubly…

Nuclear Theory · Physics 2010-04-22 V. I. Zagrebaev , A. V. Karpov , Walter Greiner

Mean field calculations, based on the D1S, D1N and D1M parametrizations of the Gogny energy density functional, have been carried out to obtain the potential energy surfaces relevant to fission in several Ra isotopes with the neutron number…

Nuclear Theory · Physics 2016-02-17 R. R. Rodriguez-Guzman , L. M. Robledo

How nuclides decay in the superheavy region is key information for investigating new elements beyond oganesson and the island of stability. The Random Forest algorithm is applied to study the competition between different decay modes in the…

Nuclear Theory · Physics 2026-03-23 Boshuai Cai , Cenxi Yuan

We show that the total kinetic energy (TKE) of nuclei after the spontaneous fission of $^{258}$Fm can be well reproduced using simple assumptions on the quantum collective phase-space explored by the nucleus after passing the fission…

Nuclear Theory · Physics 2017-04-19 Yusuke Tanimura , Denis Lacroix , Sakir Ayik

The Vlasov-Nordheim equation is solved numerically on a lattice for nuclear matter in two dimensions. We discuss the reliability of the model at normal density and then study the response of the system to small perturbations. We find…

Nuclear Theory · Physics 2009-09-25 M. Baldo , G. F. Burgio , A. Rapisarda