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The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters…

Nuclear Theory · Physics 2009-11-07 Jerome Margueron , Jesus Navarro , Van Giai Nguyen

This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear…

Nuclear Theory · Physics 2014-06-26 M. Dutra , O. Lourenço , J. S. Sá Martins , A. Delfino , J. R. Stone , P. D. Stevenson

Expressing explicitly the parameters of the standard Skyrme interaction in terms of the macroscopic properties of asymmetric nuclear matter, we show in the Skyrme-Hartree-Fock approach that unambiguous correlations exist between observables…

Nuclear Theory · Physics 2012-03-27 Lie-Wen Chen , Che Ming Ko , Bao-An Li , Jun Xu

Calculations for infinite nuclear matter with realistic nucleon-nucleon interactions suggest that the isoscalar effective mass of a nucleon at the saturation density, m*/m, equals 0.8 +/- 0.1. This result is at variance with empirical data…

Nuclear Theory · Physics 2010-04-29 M. Zalewski , P. Olbratowski , W. Satula

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

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 show in the Skyrme-Hartree-Fock approach that unambiguous correlations exist between observables of finite nuclei and nuclear matter properties. Using this correlation analysis to existing data on the neutron skin thickness of Sn…

Nuclear Theory · Physics 2017-08-23 Lie-Wen Chen , Che Ming Ko , Jun Xu , Bao-An Li

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

Nuclear matter equations of state based on Skyrme, Myers-Swiatecki and Tondeur interactions are written as polynomials of the cubic root of density, with coefficients that are functions of the relative neutron excess $\delta$. In the…

Nuclear Theory · Physics 2009-11-07 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

Recent analysis of the isospin diffusion data from heavy-ion collisions based on an isospin- and momentum-dependent transport model with in-medium nucleon-nucleon cross sections has led to the extraction of a value of $L=88\pm 25$ MeV for…

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

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

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two and three body forces. A complete Skyrme…

Nuclear Theory · Physics 2009-11-11 L. G. Cao , U. Lombardo , C. W. Shen , Nguyen Van Giai

We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

The recently developed nuclear effective interaction based on the so-called N3LO Skyrme pseudopotential is extended to include the hyperon-nucleon and hyperon-hyperon interactions by assuming the similar density, momentum, and isospin…

Nuclear Theory · Physics 2025-04-24 Jun-Ting Ye , Rui Wang , Si-Pei Wang , Lie-Wen Chen

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

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

We put a stringent constraint on the isovector nuclear interactions in the Skyrme-Hartree-Fock model from the centroid energy $E_{-1}$ of the isovector giant dipole resonance in $^{208}$Pb as well as its electric polarizability $\alpha_D$.…

Nuclear Theory · Physics 2020-10-07 Jun Xu , Jia Zhou , Zhen Zhang , Wen-Jie Xie , Bao-An Li

Using a density functional approach based on a Skyrme interaction, thermodynamic properties of finite nuclei are investigated at non-zero temperture. The role of a momentum dependent isovector term is now studied besides volume, symmetry,…

Nuclear Theory · Physics 2009-12-31 S. J. Lee , A. Z. Mekjian
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