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Based on systematic analyses of several popular non-relativistic energy density functionals with mean-field approximation, we estimate the value of the fourth-order symmetry energy $E_{\text{sym,4}}(\rho)$ at nuclear normal density $\rho_0$…

Nuclear Theory · Physics 2017-11-22 Jie Pu , Zhen Zhang , Lie-Wen Chen

We use the stability conditions of the Landau parameters for the symmetric nuclear matter and pure neutron matter to calculate the critical densities for the Skyrme type effective nucleon-nucleon interactions. We find that the critical…

Nuclear Theory · Physics 2009-11-10 B. K. Agrawal , S. Shlomo , V. Kim Au

Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient a_{sym}(A) in the semi-empirical mass formula and the nuclear matter symmetry energy E_{sym}(\rho_A) at a…

Nuclear Theory · Physics 2011-05-05 Lie-Wen Chen

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

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

The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction…

Nuclear Theory · Physics 2012-03-27 Rong Chen , Bao-Jun Cai , Lie-Wen Chen , Bao-An Li , Xiao-Hua Li , Chang Xu

The experimental and theoretical studies of Giant Resonances, or more generally of the nuclear collective vibrations, are a well established domain in which sophisticated techniques have been introduced and firm conclusions reached after an…

Nuclear Theory · Physics 2014-02-25 G. Colò , U. Garg , H. Sagawa

We study the information content carried by the electric dipole strength with respect to isovector and isoscalar indicators characterizing bulk nuclear matter and finite nuclei. To separate isoscalar and isovector modes, and low-energy…

Nuclear Theory · Physics 2015-06-12 P. -G. Reinhard , W. Nazarewicz

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 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

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

While bulk properties of stable nuclei are successfully reproduced by mean-field theories employing effective interactions, the dependence of the centroid energy of the electric giant dipole resonance on the nucleon number A is not. This…

Nuclear Theory · Physics 2015-06-05 N. Lyutorovich , V. Tselyaev , J. Speth , S. Krewald , F. Gruemmer , P. -G. Reinhard

Background: The Skyrme energy density functional is widely used in mean-field calculations of nuclear structure and dynamics. However, its reliance on phenomenology may compromise its isovector properties and its performance for exotic…

Nuclear Theory · Physics 2017-04-27 E. McRae , C. Simenel , E. C. Simpson , A. W. Thomas

Using an energy density functional (EDF) based on the thermodynamic Gibbs-Duhem relation, found equivalent to the standard Skyrme EDF for infinite nuclear matter, it is demonstrated that the parameters of this EDF are not uniquely…

Nuclear Theory · Physics 2018-12-26 Tuhin Malik , C. Mondal , B. K. Agrawal , J. N. De , S. K. Samaddar

A fully symmetry unrestricted Time-Dependent Density Functional Theory extended to include pairing correlations is used to calculate properties of the isovector giant dipole resonances of the deformed open-shell nuclei 172Yb (axially…

Nuclear Theory · Physics 2011-11-22 I. Stetcu , A. Bulgac , P. Magierski , K. J. Roche

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

Based on the Boltzmann-Uehling-Uhlenbeck equation, we investigate the effects of the isovector nucleon effective mass $m^*_{v,0}$ and the in-medium nucleon-nucleon cross section $\sigma^*$ on the isovector giant dipole resonance~(IVGDR) in…

Nuclear Theory · Physics 2026-05-08 Yi-Dan Song , Min-Si Luo , Rui Wang , Zhen Zhang , Yu-Gang Ma

The relativistic mean-field plus RPA calculations, based on effective Lagrangians with density-dependent meson-nucleon vertex functions, are employed in a microscopic analysis of the nuclear matter compressibility and symmetry energy. We…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , T. Niksic , P. Ring

Bayesian analyses on both isoscalar and isovector nuclear interaction parameters are carried out based on the Korea-IBS-Daegu-SKKU (KIDS) model under the constraints of nuclear structure data of $^{208}$Pb and $^{120}$Sn. Under the…

Nuclear Theory · Physics 2022-04-12 Jun Xu , Panagiota Papakonstantinou

The nuclear incompressibility $K_\infty$ is deduced from measurements of the Isoscalar Giant Monopole Resonance (ISGMR) in medium-heavy nuclei, and the resulting value turns out to be model dependent. Since the considered nuclei have…

Nuclear Theory · Physics 2009-11-10 G. Colo` , N. Van Giai , J. Meyer , K. Bennaceur , P. Bonche