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We reanalyze the results of our extensive Hartree-Fock + BCS calculation from new points of view paying attention to the properties of unstable nuclei. The calculation has been done with the Skyrme SIII force for the ground and shape…

Nuclear Theory · Physics 2008-11-26 Naoki Tajima

Microscopic methods and tools to describe nuclear dynamics have considerably been improved in the past few years. They are based on the time-dependent Hartree-Fock (TDHF) theory and its extensions to include pairing correlations and quantum…

Nuclear Theory · Physics 2018-09-13 C. Simenel , A. S. Umar

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

Nuclear dynamics of giant resonances are investigated with the real-time Skyrme TDHF method. The TDHF equation is explicitly linearized with respect to variation of single-particle wave functions. The time evolution of transition densities…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Kazuhiro Yabana

Providing reliable data on the properties of atomic nuclei and infinite nuclear matter to astrophysical applications remains extremely challenging, especially when treating both properties coherently within the same framework. Methods based…

Large-scale applications of energy density functional (EDF) methods depend on fast and reliable algorithms to solve the associated non-linear self-consistency problem. When dealing with large single-particle variational spaces, existing…

Nuclear Theory · Physics 2019-06-24 W. Ryssens , M. Bender , P. -H. Heenen

Nuclear implementation of the density functional theory (DFT) is at present the only microscopic framework applicable to the whole nuclear landscape. The extension of DFT to superfluid systems in the spirit of the Kohn-Sham approach, the…

Nuclear Theory · Physics 2021-08-24 Shi Jin , Kenneth J. Roche , Ionel Stetcu , Ibrahim Abdurrahman , Aurel Bulgac

We present BSkG5, the latest entry in the Brussels-Skyrme-on-a-Grid (BSkG) series and the first large-scale nuclear structure model based on next-to-next-to-leading order (N2LO) Skyrme energy density functional (EDF). By extending the…

A density dependent, effective nucleon-nucleon force of the Skyrme type is derived from the quark-meson coupling model -- a self-consistent, relativistic quark level description of nuclear matter. This new formulation requires no assumption…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , H. H. Matevosyan , N. Sandulescu , A. W. Thomas

The properties of $\isotope[12]{C}$, $\isotope[16]{O}$, and $\isotope[20]{Ne}$ nuclei in strong magnetic fields $B\simeq 10^{17}\,$G are studied in the context of strongly magnetized neutron stars and white dwarfs. The SKY3D code is…

Nuclear Theory · Physics 2016-09-12 Martin Stein , Joachim Maruhn , Armen Sedrakian , P. -G. Reinhard

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim…

Nuclear Theory · Physics 2015-06-19 P. Becker , D. Davesne , J. Meyer , A. Pastore , J. Navarro

Starting from a point - like two - and three - particle interaction the kinetic equation is derived. While the drift term of the kinetic equation turns out to be determined by the known Skyrme mean field the collision integral appears in…

Nuclear Theory · Physics 2009-11-06 Klaus Morawetz

Background: Time-dependent techniques in nuclear theory often rely on mean-field or Hartree-Fock descriptions. Beyond mean-field dynamical calculations within the time-dependent density matrix (TDDM) theory have often invoked symmetry…

Nuclear Theory · Physics 2021-06-09 M. C. Barton , P. D. Stevenson , A. Rios

We study dissipation and relaxation processes within the time-dependent Hartree-Fock approach using the Wigner distribution function. On the technical side we present a geometrically unrestricted framework which allows us to calculate the…

Nuclear Theory · Physics 2012-08-30 N. Loebl , A. S. Umar , J. A. Maruhn , P. -G. Reinhard , P. D. Stevenson , V. E. Oberacker

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…

A detailed derivation of the collisional widths of collective vibrations is presented in both quantal and semi-classical frameworks by considering the linearized limits of the extended TDHF and the BUU model with a non-Markovian binary…

Nuclear Theory · Physics 2008-11-26 S. Ayik , O. Yilmaz , A. Gokalp , P. Schuck

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

The equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin-isospin decomposition are analyzed within the Brueckner--Hartree--Fock approach. Theoretical uncertainties…

Nuclear Theory · Physics 2024-04-05 Isaac Vidaña , Jérôme Margueron , Hans-Josef Schulze