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The surface energy is one of the fundamental properties nuclei, appearing in the simplest form of the semi-empirical mass formula. The surface enery has an influence on e.g. the shape of a nucleus and its ability to deform. This in turn…

Nuclear Theory · Physics 2020-04-22 P. D. Stevenson

We discuss the effect of surface energy coefficients as well as nuclear surface diffuseness in the proximity potential and ultimately in the fusion of heavy-ions. Here we employ different versions of surface energy coefficients. Our…

Nuclear Theory · Physics 2010-05-07 Ishwar Dutt , Rajeev K. Puri

Using the model of hexagonal clusters we express the surface, curvature and Gauss curvature coefficients of the nuclear binding energy in terms of its bulk coefficient. Using the derived values of these coefficients and a single fitting…

Nuclear Theory · Physics 2020-12-22 V. V. Sagun , K. A. Bugaev , A. I. Ivanytskyi

Binding energy of symmetric nuclear matter can be accessed straightforwardly with the textbook mass-formula and a sample of nuclear masses. We show that, with a minimally modified formula (along the lines of the droplet model), the symmetry…

Nuclear Theory · Physics 2009-11-10 P. Danielewicz

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

Within the framework of Skyrme energy density formalism, we investigate the role of surface corrections on the fusion of colliding nuclei. For this, the coefficient of surface correction was varied between 1/36 and 4/36, and its impact was…

Nuclear Theory · Physics 2011-07-08 Ishwar Dutt , Narinder K. Dhiman

By taking into account the surface diffuseness correction for unstable nuclei, the accuracy of the macroscopic-microscopic mass formula is further improved. The rms deviation with respect to essentially all the available mass data falls to…

Nuclear Theory · Physics 2015-06-19 Ning Wang , Min Liu , Xizhen Wu , Jie Meng

The Q value and optimal exciting energy of the hypothetical superheavy nuclei in cold fusion reaction are calculated with relativistic mean field model and semiemperical shell model mass equation(SSME) and the validity of the two models is…

Nuclear Theory · Physics 2014-11-18 X. H. Zhong , L. Li , P. Z. Ning

A correction to the nuclear functional is proposed in order to improve the density of states around the Fermi surface. The induced effect of this correction is to produce a surface-peaked effective mass, whose mean value can be tuned to get…

In the present paper, we show a simple method to obtain fittings for the surface and curvature tensions. The method uses the nuclear mass of a spherical fully ionized atom and a simple expression for the binding energy such that a least…

Nuclear Theory · Physics 2024-06-14 Mariana Dutra , Odilon Lourenço , Débora P. Menezes

In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena can be related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the change of nuclear binding…

Nuclear Theory · Physics 2024-03-26 Philippe Da Costa , Karim Bennaceur , Jacques Meyer , Wouter Ryssens , Michael Bender

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

Experimental results for sub-barrier nuclear fusion reactions show cross section enhancements with respect to bare nuclei which are generally larger than those expected according to electron screening calculations. We point out that energy…

Astrophysics · Physics 2009-11-07 G. Fiorentini , C. Rolfs , F. L. Villante , B. Ricci

A systematic study of fission-barrier dependence on excitation energy has been performed using the self-consistent finite-temperature Hartree-Fock+BCS (FT-HF+BCS) formalism with the SkM* Skyrme energy density functional. The calculations…

Nuclear Theory · Physics 2009-08-18 J. A. Sheikh , W. Nazarewicz , J. C. Pei

The symmetry energy coefficients for nuclei with mass number A=20~250 are extracted from more than 2000 measured nuclear masses. With the semi-empirical connection between the symmetry energy coefficients of finite nuclei and the nuclear…

Nuclear Theory · Physics 2010-12-28 Min Liu , Ning Wang , Zhuxia Li , Fengshou Zhang

A new method for approximating Skyrme solutions is developed. It consists of cutting sections out of the Skyrme crystal and smoothly interpolating between the boundary and spatial infinity. Several field configurations are constructed, and…

Nuclear Theory · Physics 2009-10-28 W. K. Baskerville

Elements of nuclear symmetry energy evaluated from different energy density functionals parametrized by fitting selective bulk properties of few representative nuclei are seen to vary widely. Those obtained from experimental data on nuclear…

Nuclear Theory · Physics 2015-08-07 C. Mondal , B. K. Agrawal , J. N. De

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

A study of properties of the symmetry energy of nuclei is presented based on density functional theory. Calculations for finite nuclei are given so that the study includes isospin dependent surface symmetry considerations as well as isospin…

Nuclear Theory · Physics 2011-01-28 S. J. Lee , A. Z. Mekjian

The nuclear symmetry energy coefficients of finite nuclei are extracted by using the differences between the masses of isobaric nuclei. Based on the masses of more than 2400 nuclei with $A=9-270$, we investigate the model dependence in the…

Nuclear Theory · Physics 2014-08-27 Junlong Tian , Haitao Cui , Kuankuan Zheng , Ning Wang
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