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The mass-dependent symmetry energy coefficients $a_{sym}(A)$ has been extracted by analysing the heavy nuclear mass differences reducing the uncertainties as far as possible in our previous work. Taking advantage of the obtained symmetry…

Nuclear Theory · Physics 2015-05-08 Xiaohua Fan , Jianmin Dong , Wei Zuo

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with $A$=20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation…

Nuclear Theory · Physics 2015-06-19 M. K. Gaidarov , P. Sarriguren , A. N. Antonov , E. Moya de Guerra

The theory of the nuclear energy-density functional is used to provide a unified and thermodynamically consistent treatment of all regions of cold non-accreting neutron stars. In order to assess the impact of our lack of complete knowledge…

High Energy Astrophysical Phenomena · Physics 2020-01-28 J. M. Pearson , N. Chamel , A. Y. Potekhin , A. F. Fantina , C. Ducoin , A. K. Dutta , S. Goriely

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

We present an inference of the nuclear symmetry energy magnitude $J$, the slope $L$ and the curvature $K_{\rm sym}$ by combining neutron skin data on Ca, Pb and Sn isotopes and our best theoretical information about pure neutron matter…

Nuclear Theory · Physics 2021-06-30 William G. Newton , Gabriel Crocombe

The density dependence of nuclear symmetry energy remains poorly constrained. Starting from precise empirical values of the nuclear volume and surface symmetry energy coefficients and the nuclear saturation density, we show how in the ambit…

Nuclear Theory · Physics 2015-06-12 B. K. Agrawal , J. N. De , S. K. Samaddar

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard

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 in finite nuclei have been studied systematically with a covariant density functional theory (DFT) and compared with the values calculated using several available mass tables. Due to the contamination of…

Nuclear Theory · Physics 2014-01-21 H. Mei , Y. Huang , J. M. Yao , H. Chen

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

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

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Nuclear Theory · Physics 2010-12-02 M. Stoitsov , M. Kortelainen , S. K. Bogner , T. Duguet , R. J. Furnstahl , B. Gebremariam , N. Schunck

We have systematically studied the surface properties, such as symmetric energy, neutron pressure, and symmetry energy curvature coefficient for Ne, Na, Mg, Al, and Si nuclei from the proton to neutron drip-lines. The Coherent Density…

Nuclear Theory · Physics 2022-11-11 Jeet Amrit Pattnaik , R. N. Panda , M. Bhuyan , S. K. Patra

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for…

Nuclear Theory · Physics 2009-11-23 Kenichi Yoshida , Nguyen Van Giai

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

Understanding the mechanisms of induced nuclear fission for a broad range of neutron energies could help resolve fundamental science issues, such as the formation of elements in the universe, but could have also a large impact on societal…

Nuclear Theory · Physics 2015-03-26 N. Schunck , D. Duke , H. Carr

The density dependence of the symmetry energy around saturation density, characterized by the slope parameter L, is studied using information provided by the neutron skin thickness in finite nuclei. An estimate for L is obtained from…

Nuclear Theory · Physics 2014-03-03 X. Viñas , M. Centelles , X. Roca-Maza , M. Warda

Radii of charge and neutron distributions are fundamental nuclear properties. They depend on both nuclear interaction parameters related to the equation of state of infinite nuclear matter and on quantal shell effects, which are strongly…

Nuclear Theory · Physics 2016-08-17 P. -G. Reinhard , W. Nazarewicz

We examine how the properties of inhomogeneous nuclear matter at subnuclear densities depend on the density dependence of the symmetry energy. Using a macroscopic nuclear model we calculate the size and shape of nuclei in neutron star…

Nuclear Theory · Physics 2008-11-26 Kazuhiro Oyamatsu , Kei Iida