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We employ a variational method, in the framework of the Thomas-Fermi approximation, to study the effect of the symmetry energy on the neutron skin thickness and the symmetry energy coefficients of various neutron rich nuclei. We concentrate…

Nuclear Theory · Physics 2017-05-17 M. C. Papazoglou , Ch. C. Moustakidis

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

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

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

An alternative way to constrain the density dependence of the symmetry energy with the slope of the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z^{2/3}…

Nuclear Theory · Physics 2011-08-02 Min Liu , Zhuxia Li , Ning Wang , Fengshou Zhang

We suggest a particular procedure of derivation of the beta-stability line and isotopic symmetry energy. The behavior of the symmetry energy coefficient $b(A,N-Z)$ is analyzed. We redefine the surface tension coefficient and the surface…

Nuclear Theory · Physics 2014-11-11 V. M. Kolomietz , A. I. Sanzhur

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 density dependence of the nuclear symmetry energy is inspected using the Statistical Multifragmentation Model with Skyrme effective interactions. The model consistently considers the expansion of the fragments' volumes at finite…

Nuclear Theory · Physics 2009-10-29 S. R. Souza , M. B. Tsang , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner

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

Correlations between the thickness of the neutron skin in finite nuclei and the nuclear matter symmetry energy are studied in the Skyrme Hartree-Fock model. From the most recent analysis of the isospin diffusion data in heavy-ion collisions…

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

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

Symmetry energy coefficients of explicitly isospin asymmetric nuclear matter at variable densities (from .5$\rho_0$ up to 2 $\rho_0$) are studied as generalized screening functions. An extended stability condition for asymmetric nuclear…

Nuclear Theory · Physics 2009-11-07 Fabio L. Braghin

We study the correlation between the thickness of the neutron skin in finite nuclei and the nuclear symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei in the framework of the deformed self-consistent mean-field Skyrme…

Nuclear Theory · Physics 2015-05-30 M. K. Gaidarov , A. N. Antonov , P. Sarriguren , E. Moya de Guerra

We study the bulk deformation properties of the Skyrme nuclear energy density functionals. Following simple arguments based on the leptodermous expansion and liquid drop model, we apply the nuclear density functional theory to assess the…

Nuclear Theory · Physics 2011-03-22 N. Nikolov , N. Schunck , W. Nazarewicz , M. Bender , J. Pei

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

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

It is important to develop a unified theoretical framework to describe the nuclear experiments and astrophysical observations based on the same effective nuclear interactions. Based on the so-called Skyrme pseudopotential up to…

Nuclear Theory · Physics 2024-04-23 Si-Pei Wang , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

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

We present and discuss properties of isospin asymmetric matter whose equation of state is derived from recent high-quality chiral nucleon-nucleon potentials and chiral effective three-nucleon forces. After a brief review of the chiral…

Nuclear Theory · Physics 2019-06-10 Randy Millerson , Francesca Sammarruca
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