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According to standard textbooks, the nuclear symmetry energy originates from the {\it kinetic} energy and the {\it interaction} itself. We argue that this view requires certain modifications. We ascribe the physical origin of the {\it…

Nuclear Theory · Physics 2015-06-26 W. Satula , R. Wyss

The Lagrangian density of relativistic mean-field (RMF) theory with non-linear derivative (NLD) interactions is applied to isospin asymmetric nuclear matter. We study the symmetry energy and the density and energy dependences of nucleon…

Nuclear Theory · Physics 2015-05-30 T. Gaitanos , M. Kaskulov

Relativistic mean field (RMF) theory of nuclear matter with the isovector scalar mean field corresponding to the delta-meson [a_0(980)] is studied. While the delta-meson mean field vanishes in symmetric nuclear matter, it can influence…

Astrophysics · Physics 2009-10-30 S. Kubis , M. Kutschera

The microscopic mechanisms of the symmetry energy in nuclear matter are investigated in the framework of the relativistic Brueckner-Hartree-Fock (RBHF) model with a high-precision realistic nuclear potential, pvCDBonn A. The kinetic energy…

Nuclear Theory · Physics 2022-06-15 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

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

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

The nuclear symmetry energy calculated in the RPA from the pairing plus symmetry force Hamiltonian with equidistant single-nucleon levels is for mass number A=48 approximately proportional to T(T+1.025), where T is the isospin quantum…

Nuclear Theory · Physics 2015-06-26 Kai Neergård

The global mass dependence of the nuclear symmetry energy and its two basic ingredients due to the mean-level spacing and effective strength of the isovector mean-potential is studied within the Skyrme-Hartree-Fock model. In particular, our…

Nuclear Theory · Physics 2009-11-11 M. Rafalski , W. Satula , R. Wyss

In this review, we will discuss the results of our recent work to study the general optimization of the pure isovector parameters of the popular relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) nuclear energy-density functionals…

Nuclear Theory · Physics 2013-03-27 F. J. Fattoyev , W. G. Newton , Jun Xu , Bao-An Li

We study the nuclear symmetry energy S(rho) and related quantities of nuclear physics and nuclear astrophysics predicted generically by relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) models. We establish a simple prescription…

Nuclear Theory · Physics 2012-08-27 F. J. Fattoyev , W. G. Newton , Jun Xu , Bao-An Li

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

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

Relations between the nuclear symmetry energy coefficient and its density derivatives are derived. The relations hold for a class of interactions with quadratic momentum dependence and a power-law density dependence. The structural…

Nuclear Theory · Physics 2017-08-25 C. Mondal , B. K. Agrawal , J. N. De , S. K. Samaddar , M. Centelles , X. Viñas

The nuclear symmetry energy characterizes the variation of the binding energy as the neutron to proton ratio of a nuclear system is varied. This is one of the most important features of nuclear physics in general, since it is just related…

Nuclear Theory · Physics 2019-01-31 M. Baldo , G. F. Burgio

Symmetry energy terms from macroscopic mass formulae are investigated as generalized polarizabilities of nuclear matter. Besides the neutron-proton (n-p) symmetry energy the spin dependent symmetry energies and a scalar one are also…

Nuclear Theory · Physics 2014-11-18 Fabio L. Braghin

Energy in nuclear matter is, in practice, completely characterized at different densities and asymmetries, when the density dependencies of symmetry energy and of energy of symmetric matter are specified. The density dependence of the…

Nuclear Theory · Physics 2008-11-26 Pawel Danielewicz , Jenny Lee

The nuclear symmetry energy characterizes the variation of the binding energy as the neutron to proton ratio of nuclear systems (e.g. finite nucleus, neutron star etc.) is varied. The densities associated to these nuclear systems vary over…

Nuclear Theory · Physics 2018-08-24 Chiranjib Mondal

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 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

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore
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