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We redefine the surface tension coefficient and the symmetry energy for an asymmetric nuclear Fermi-liquid drop with a finite diffuse layer. Considering two-component charged Fermi-liquid drop and following Gibbs-Tolman concept, we…

Nuclear Theory · Physics 2015-06-16 V. M. Kolomietz , A. I. Sanzhur

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 nuclear symmetry energy represents a response to the neutron-proton asymmetry. In this survey we discuss various aspects of symmetry energy in the framework of nuclear density functional theory, considering both non-relativistic and…

Nuclear Theory · Physics 2014-08-07 W. Nazarewicz , P. -G. Reinhard , W. Satula , D. Vretenar

Based on the Skyrme energy density functional, the spatial distribution of the symmetry energy of a finite nucleus is derived in order to examine whether the symmetry energy of a finite nucleus originates from its interior or from its…

Nuclear Theory · Physics 2013-01-15 Jianmin Dong , Wei Zuo , Jianzhong Gu

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 volume and surface symmetry parts of the nuclear symmetry energy and other coefficients of the liquid droplet model are determined from the measured atomic masses by the maximum likelihood estimator. The volume symmetry energy…

Nuclear Theory · Physics 2008-11-26 Tapan Mukhopadhyay , D. N. Basu

We suggest the procedure of direct derivation of the symmetry energy from the shift of neutron-proton chemical potentials \Delta\lambda=\lambda_{n}- \lambda_{p} for nuclei beyond the beta-stability line. We observe the presence of anomalous…

Nuclear Theory · Physics 2010-04-06 V. M. Kolomietz , A. I. Sanzhur

The thermal evolution of a few thermodynamic properties of the nuclear surface like its thermodynamic potential energy, entropy and the symmetry free energy are examined for both semi-infinite nuclear matter and finite nuclei. The…

Nuclear Theory · Physics 2015-06-19 B. K. Agrawal , D. Bandyopadhyay , J. N. De , S. K. Samaddar

We apply the direct variational method to derive the equation of state for finite nuclei within the stability valley. The extended Thomas-Fermi approximation for the energy functional with Skyrme forces is used. Using the leptodermous…

Nuclear Theory · Physics 2008-11-11 V. M. Kolomietz , A. I. Sanzhur

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

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

Extrapolations from nuclei to neutron stars hinge on the symmetry term in nuclear binding formulas. The term describes reduction in the binding associated with neutron-proton (np) imbalance. Regrettably, binding formulas in the literature…

Nuclear Theory · Physics 2007-05-23 Pawel Danielewicz

The neutron-proton Fermi-energy difference and the correlation to nucleon separation energies for some magic nuclei are investigated with the Skyrme energy density functionals and nuclear masses, with which the nuclear symmetry energy at…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Li Ou , Min Liu

Surface and curvature properties of asymmetric nuclear matter are studied beyond the proton drip. Using the semiclassical extended Thomas-Fermi method, the calculations are performed in the non-relativistic and relativistic meson field…

Nuclear Theory · Physics 2009-10-30 M. Centelles , M. Del Estal , X. Vinas

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

Symmetry energy coefficients of asymmetric nuclear matter are investigated as the inverse of nuclear matter polarizabilities with two different approaches. Firstly a general calculation shows they may depend on the neutron-proton asymmetry…

Nuclear Theory · Physics 2015-06-26 Fábio L. Braghin

The temperature dependence of the symmetry energy and symmetry free energy coefficients of infinite nuclear matter and of finite nuclei is investigated. For infinite matter, both these coefficients are found to have a weaker dependence on…

Nuclear Theory · Physics 2015-06-17 B. K. Agrawal , J. N. De , S. K. Samaddar , M. Centelles , X. Viñas

We redefine the surface tension coefficient for a nuclear Fermi-liquid drop with a finite diffuse layer. Following Gibbs-Tolman concept, we introduce the equimolar radius R_e of sharp surface droplet at which the surface tension is applied…

Nuclear Theory · Physics 2015-05-30 V. M. Kolomietz , S. V. Lukyanov , A. I. Sanzhur

Interplay between the dependence of symmetry energy on density and the variation of nucleonic densities across nuclear surface is discussed. That interplay gives rise to the mass dependence of the symmetry coefficient in an energy formula.…

Nuclear Theory · Physics 2009-05-29 Pawel Danielewicz , Jenny Lee

Based on the standard Skyrme energy density functionals together with the extended Thomas-Fermi approach, the properties of symmetric and asymmetric nuclear matter represented in two macroscopic-microscopic mass formulas: Lublin-Strasbourg…

Nuclear Theory · Physics 2016-03-10 Ning Wang , Min Liu , Li Ou , Yingxun Zhang
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