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Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

Potential energy surfaces and fission barriers of superheavy nuclei are analyzed in the macroscopic-microscopic model. The Lublin-Strasbourg Drop (LSD) is used to obtain the macroscopic part of the energy, whereas the shell and pairing…

Potential energy surfaces of nine even-even isotopes of Pt, Hg, and Pb around $^{186}$Pt are evaluated within a macroscopic-microscopic model based on the Lublin-Strasbourg-Drop macroscopic energy and the microscopic energy obtained using…

Nuclear Theory · Physics 2025-11-11 J. Bartel , H. Molique , B. Nerlo-Pomorska , M. Warda , K. Pomorski

The structure and dynamics of a molecular system is governed by its potential energy surface (PES), representing the total energy as a function of the nuclear coordinates. Obtaining accurate potential energy surfaces is limited by the…

Chemical Physics · Physics 2023-09-29 Karl P. Horn , Luis Itza Vazquez-Salazar , Christiane P. Koch , Markus Meuwly

We propose a new, rapidly convergent, the so-called Fourier over Spheroid (FoS), shape parametrization to model fission of heavy nuclei. Four collective coordinates are used to characterize the shape of the fissioning system, being its…

Nuclear Theory · Physics 2023-09-25 K. Pomorski , B. Nerlo-Pomorska , C. Schmitt , Z. G. Xiao , Y. J. Chen , L. L. Liu

Deformation-energy surfaces of 54 even-even isotopes of Pt, Hg and Pb nuclei with neutron numbers up to 126 are investigated within a macroscopic-microscopic model based on the Lublin-Strasbourg-Drop macroscopic energy and shell plus…

Within the two-center shell model parameterization we have defined the optimal shape which fissioning nuclei attain just before the scission and calculated the total deformation energy (liquid drop part plus the shell correction) as…

Nuclear Theory · Physics 2015-06-23 F. A. Ivanyuk , S. Chiba , Y. Aritomo

We implement the Fourier shape parametrization within the point-coupling covariant density functional theory to construct the collective space, potential energy surface (PES), and mass tensor, which serve as inputs for the time-dependent…

Nuclear Theory · Physics 2025-03-13 Zeyu Li , Yang Su , Lile Liu , Yongjing Chen , Zhipan Li

The potential-energy surfaces of an extended set of heavy and super-heavy even-even nuclei with $92 \le Z \le 126$ and isospins $40 \le N-Z \le 74$ are evaluated within the recently developed Fourier shape parametrization. Ground-state and…

Nuclear Theory · Physics 2018-03-28 K. Pomorski , B. Nerlo-Pomorska , J. Bartel , C. Schmitt

A new, rapidly convergent Fourier over spheroid parametrization is developed to describe the shape of a fissioning nucleus: its elongation, non-axiality and left-right asymmetry and neck formation. The 4D Potential Energy Surfaces (PES) of…

Nuclear Theory · Physics 2022-10-19 Krzysztof Pomorski , Bożena Nerlo-Pomorska

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

The scission of a nucleus into two fragments is at present the least understood part of the fission process, though the most important for the formation of the observables. To investigate the potential energy landscape at the largest…

Nuclear Theory · Physics 2013-04-01 Fedir Ivanyuk

Eighty years after its experimental discovery, a microscopic description of induced nuclear fission based solely on the interactions between neutrons and protons and quantum many-body methods still poses formidable challenges. The goal of…

Nuclear Theory · Physics 2015-06-17 N. Schunck , D. Duke , H. Carr , A. Knoll

The mass and total kinetic energy distributions of the fission fragments in the fission of even-even isotopes of superheavy elements from Hs (Z=108) to Og (Z=118) are estimated using a pre-scission point model. We restrict to nuclei for…

Nuclear Theory · Physics 2019-06-19 N. Carjan , F. A. Ivanyuk , Yu. Ts. Oganessian

In this paper, using a quasi-classical statistical approach based on the Langevin equation, we simulate the fission dynamics of selected even-even $\rm U$, $\rm Pu$, $\rm Cm$, $\rm Cf$ and $\rm Fm$ actinide nuclei. As a preparatory part of…

Nuclear Theory · Physics 2023-04-07 Pavel V. Kostryukov , Artur Dobrowolski

We investigate the structure of the potential energy surfaces of the superheavy nuclei 258Fm, 264Hs, (Z=112,N=166), (Z=114,N=184), and (Z=120,N=172) within the framework of self-consistent nuclear models, i.e. the Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2008-11-26 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

The evolution of structure property along the fission path in the superheavy nucleus $^{256}$Sg is predicted through the multi-dimensional potential-energy(or Routhian)-surface calculations,in which the phenomenological deformed Woods-Saxon…

Nuclear Theory · Physics 2023-03-29 Ting-Ting Li , Hua-Lei Wang , Zhen-Zhen Zhang , Min-Liang Liu

The microscopic studies on nuclear fission require the evaluation of the potential energy surface as a function of the collective coordinates. A reasonable choice of constraints on multipole moments should be made to describe the topography…

Nuclear Theory · Physics 2021-07-21 A. Zdeb , M. Warda , L. M. Robledo

In the present work the formal definition of the scission point - the maximal elongation at which the nucleus splits into two fragments - is given. The shape and the deformation energy at the scission point are calculated within the…

Nuclear Theory · Physics 2015-06-17 F. A. Ivanyuk

The concept of fission barrier - a parameter which enters in quantitative estimates of various observables related to nuclear fission - is presented from the point of view of theory based on the picture of nuclear deformation and energy…

Nuclear Theory · Physics 2022-04-27 Michał Kowal , Janusz Skalski
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