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Over the past decade, machine learning has been successfully applied in various fields of science. In this study, we employ a deep learning method to analyze a Skyrme energy density functional (Skyrme-EDF), that is a Kohn-Sham type…

Nuclear Theory · Physics 2023-06-28 N. Hizawa , K. Hagino , K. Yoshida

we use the nuclear proximity potential obtained recently for the Skyrme nucleus-nucleus interaction in the semiclassical extended Thomas Fermi (ETF) approach using Skyrme energy density formalism (SEDF) under frozen-density…

Nuclear Theory · Physics 2010-10-07 Raj Kumar , Raj K Gupta

The problem of the effective mass scaling in the single particle spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals the commonly anticipated…

Nuclear Theory · Physics 2008-11-26 W. Satula , R. A. Wyss , M. Zalewski

A new alternative approach to calculate the ratio of the surface to volume components of the nuclear symmetry energy is proposed in the framework of the coherent density fluctuation model (CDFM). A new expression (scheme II) for the ratio…

The purpose of this study is threefold: first, to identify a scheme for the determination of the surface energy coefficient a_surf that offers the best compromise between robustness, precision, and numerical efficiency; second, to analyze…

Nuclear Theory · Physics 2018-03-06 R. Jodon , M. Bender , K. Bennaceur , J. Meyer

A novel D-model of wave turbulence is presented which allows to reproduce in a single frame various nonlinear wave phenomena such as intermittency, formation and direction of energy cascades, possible growth of nonlinearity due to direct…

Fluid Dynamics · Physics 2011-05-11 Elena Kartashova

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

In order to incorporate the finite range effect into effective interactions, a modification of the Skyrme force by introducing a cut-off factor for high momentum transfers is proposed. The parameters of the cut-off factor are determined by…

Nuclear Theory · Physics 2007-05-23 Denis Lacroix , Sakir Ayik , Osman Yilmaz , Ahmet Gokalp

Phenomenological effective interactions like Skyrme forces are currently used in mean--field calculations in nuclear physics. Mean--field models have strong analogies with the first order of the perturbative many--body problem and the…

Nuclear Theory · Physics 2017-06-01 C. J. Yang , M. Grasso , K. Moghrabi , U. van Kolck

Recently, a new parameterization of the Gogny interaction suitable for astrophysical applications, named D1M*, has been presented. We investigate the possible existence of spurious finite-size instabilities of this new Gogny force by…

Nuclear Theory · Physics 2019-10-09 M. Martini , A. De Pace , K. Bennaceur

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, 12C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater…

Nuclear Theory · Physics 2012-12-04 Y. Fukuoka , T. Nakatsukasa , Y. Funaki , K. Yabana

This paper deals with the theoretical foundation of effective two-body forces for the Generator Coordinate Method (GCM) and the projected mean-field method. The first aim of this paper is to reduce into various local-densities the in-medium…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham…

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

Background: Understanding the experimental $B(E2)$ values for Sn isotopes around $^{110}$Sn has been a significant challenge in nuclear structure studies for over a decade. Both experimental data and many, though not all, calculations…

The effective-surface approximation is extended taking into account derivatives of the symmetry-energy density per particle with respect to the mean particle density. The isoscalar and isovector particle densities in this extended…

Nuclear Theory · Physics 2016-01-20 J. P. Blocki , A. G. Magner , P. Ring

The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Some examples are…

Nuclear Theory · Physics 2021-11-02 J. A. Sheikh , J. Dobaczewski , P. Ring , L. M. Robledo , C. Yannouleas

Naive dimensional analysis based on chiral effective theory, when adapted to nuclear energy density functionals, prescribes natural units and a hierarchy of contributions that could be used to constrain fits of generalized functionals. By…

Nuclear Theory · Physics 2014-11-21 M. Kortelainen , R. J. Furnstahl , W. Nazarewicz , M. V. Stoitsov

Recent progress in theory, experiment and observation challenges the mean field models using the conventional Skyrme interaction, suggesting that the extension of the conventional Skyrme interaction is necessary. In this work, by fitting…

Nuclear Theory · Physics 2017-01-04 Zhen Zhang , Lie-Wen Chen

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to…

Nuclear Theory · Physics 2011-04-05 T. Duguet , J. Sadoudi