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A new anchor-based optimization method of defining the energy density functionals (EDFs) is proposed. In this approach, the optimization of the parameters of EDF is carried out for the selected set of spherical anchor nuclei the physical…

Nuclear Theory · Physics 2023-04-19 A. Taninah , A. V. Afanasjev

This study presents an advanced numerical framework that integrates experimentally acquired Atomic Force Microscope (AFM) data into high-fidelity simulations for adhesive rough contact problems, bridging the gap between experimental physics…

Computational Engineering, Finance, and Science · Computer Science 2025-04-04 Maria Rosaria Marulli , Jacopo Bonari , Pasqualantonio Pingue , Marco Paggi

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

Numerical Analysis · Mathematics 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

This work continues a program to systematically generalize the Skyrme Hartree-Fock method for medium and heavy nuclei by applying effective field theory (EFT) methods to Kohn-Sham density functional theory (DFT). When conventional Kohn-Sham…

Nuclear Theory · Physics 2007-05-23 Anirban Bhattacharyya , R. J. Furnstahl

Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient a_{sym}(A) in the semi-empirical mass formula and the nuclear matter symmetry energy E_{sym}(\rho_A) at a…

Nuclear Theory · Physics 2011-05-05 Lie-Wen Chen

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with…

Nuclear Theory · Physics 2015-03-13 B. Gebremariam , S. K. Bogner , T. Duguet

The symmetry energy obtained with the effective Skyrme energy density functional is related to the values of isoscalar effective mass and isovector effective mass, which is also indirectly related to the incompressibility of symmetric…

Nuclear Theory · Physics 2020-04-22 Yingxun Zhang , Min Liu , Cheng-Jun Xia , Zhuxia Li , Subrata Kumar Biswal

In this work, we aim to develop energy-stable parametric finite element approximations for a sharp-interface model with strong surface energy anisotropy, which is derived from the first variation of an energy functional composed of…

Numerical Analysis · Mathematics 2024-07-08 Meng Li , Chunjie Zhou

Excitation energies to isobaric states, that are analogs of ground states, are dominated by contributions from the symmetry energy. This opens up a possibility of investigating the symmetry energy on nucleus-by-nucleus basis. Upon…

Nuclear Theory · Physics 2015-06-03 Pawel Danielewicz , Jenny Lee

The fusion dynamics for a positive Q-value systems: $^{27}$Al+$^{45}$Sc, at near and deep sub-barrier energies has been investigated using the proximity potentials of Skyrme energy density formalism in semi classical extended Thomas Fermi…

Nuclear Theory · Physics 2016-06-29 Dalip Singh Verma , Atul Choudhary

The Statistical Multifragmentation Model is modified to incorporate the Helmholtz free energies calculated in the finite temperature Thomas-Fermi approximation using Skyrme effective interactions. In this formulation, the density of the…

Nuclear Theory · Physics 2009-12-31 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner , M. B. Tsang

The isoscalar and isovector particle densities and the surface tension coefficients at the average binding energy are used to derive analytical expressions of the neutron skin thickness and the isovector stiffness of sharp edged…

Nuclear Theory · Physics 2015-06-12 J. P. Blocki , A. G. Magner , P. Ring , A. A. Vlasenko

We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40,…

Nuclear Theory · Physics 2009-12-14 M. Bender , K. Bennaceur , T. Duguet , P. -H. Heenen , T. Lesinski , J. Meyer

Recent analysis of the isospin diffusion data from heavy-ion collisions based on an isospin- and momentum-dependent transport model with in-medium nucleon-nucleon cross sections has led to the extraction of a value of $L=88\pm 25$ MeV for…

Nuclear Theory · Physics 2009-11-11 Lie-Wen Chen , Che Ming Ko , Bao-An Li

We present a modification of the $\Delta$SCF method of calculating energies of excited states, in order to make it applicable to resonance calculations of molecules adsorbed on metal surfaces, where the molecular orbitals are highly…

Materials Science · Physics 2009-03-06 Jeppe Gavnholt , Thomas Olsen , Mads Engelund , Jakob Schiøtz

We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

The $\beta$-decay half-lives of nuclei are sensitive to the values of $Q_{\beta}$. For accurate theoretical predictions, it is essential to develop an effective interaction or an energy density functional (EDF) that can systematically…

Nuclear Theory · Physics 2025-05-16 Futoshi Minato , Yifei Niu , Kenichi Yoshida

We used numerical simulations based on the finite element method (FEM) to calculate both the amplitude and phase information of the scattered electric field from random rough surfaces, which can be directly compared to ellipsometric…

Computational Physics · Physics 2019-02-27 B. Fodor , P. Kozma , S. Burger , M. Fried , P. Petrik

We parameterize the recently proposed generalized Skyrme effective force (GSEF) containing extended density dependence. The parameters of the GSEF are determined by the fit to several properties of the normal and isospin-rich nuclei. We…

Nuclear Theory · Physics 2009-08-18 B. K. Agrawal , Shashi K. Dhiman , Raj Kumar

Semi-empirical mass formula of the atomic nucleus describe binding energies of the nuclei. In the simple form of this formula, there are five terms related to the properties of the nuclear structure. The coefficients in each terms can be…

Nuclear Theory · Physics 2016-12-12 Serkan Akkoyun , Tuncay Bayram