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The nuclear symmetry energy plays important role on the structure of finite nuclei as well as on the bulk properties of neutron stars. However, its values at high densities are completely uncertain and the corresponding experimental data…

Nuclear Theory · Physics 2024-01-17 M. Divaris , A. Kanakis-Pegios , Ch. C. Moustakidis

Collective nuclear excitations, like giant resonances, are sensitive to nuclear deformation, as evidenced by alterations in their excitation energies and transition strength distributions. A common theoretical framework to study these…

Nuclear Theory · Physics 2024-04-23 A. Ravlić , T. Nikšić , Y. F. Niu , P. Ring , N. Paar

We consider an infinite system of coupled stochastic differential equations (SDE) describing dynamics of the following infinite particle system. Each partricle is characterised by its position $x\in \mathbb{R}^{d}$ and internal parameter…

Functional Analysis · Mathematics 2025-02-21 Georgy Chargaziya , Alexei Daletskii

The atomization energies of molecules from first-principles density functional approximations improve from the local spin-density approximation (LSDA) to the Perdew-Burke-Ernzerhof (PBE)) generalized gradient approximation (GGA) to the…

Chemical Physics · Physics 2024-06-19 Shah Tanvir ur Rahman Chowdhury , John P. Perdew

The time-dependent version of nuclear density functional theory, using functionals derived from Skyrme interactions, is able to approximately describe nuclear dynamics. We present time-dependent results of calculations of dipole resonances,…

Nuclear Theory · Physics 2016-02-17 P. D. Stevenson

Making use of the finite rank separable approach for the quasiparticle random phase approximation enables one to perform nuclear structure calculations in very large two-quasiparticle spaces. The approach is extended to take into account…

Nuclear Theory · Physics 2008-11-26 A. P. Severyukhin , V. V. Voronov , Nguyen Van Giai

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

Large-scale calculations of the E1 strength are performed within the random phase approximation (RPA) based on the relativistic point-coupling mean field approach in order to derive the radiative neutron capture cross sections for all…

Nuclear Theory · Physics 2015-06-11 I. Daoutidis , S. Goriely

Using phenomenological equations of state, we study the chemical and mechanical instabilities in hot isospin-asymmetric nuclear matter. Both instabilities are found to depend strongly on the isospin asymmetry of the nuclear matter. For a…

Nuclear Theory · Physics 2009-10-30 Bao-An Li , C. M. Ko

Low-energy E1 strength in neutron-rich $^{132-164}$Sn isotopes is analyzed in the framework of the Skyrme random phase approximation (RPA) with different Skyrme forces. A double folding procedure is applied to take into account the…

Nuclear Theory · Physics 2011-07-15 J. Kvasil , V. O. Nesterenko , W. Kleinig , D. Bozhik , P. -G. Reinhard

We perform a systematic study of the impact of the J^2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate both from zero-range central and tensor…

Nuclear Theory · Physics 2011-11-09 T. Lesinski , M. Bender , K. Bennaceur , T. Duguet , J. Meyer

A survey of some results in the modern microscopic theory of properties of nuclear reactions with gamma-rays is given. First of all, we discuss the impact of phonon coupling (PC) on the photon strength function (PSF) because it represents…

Nuclear Theory · Physics 2016-09-21 Sergei Kamerdzhiev , Oleg Achakovskiy , Alexander Avdeenkov , Stephane Goriely

A general review of the crystalline solutions of the generalized Skyrme model and their application to the study of cold nuclear matter at finite density and the Equation of State (EOS) of neutron stars is presented. For the relevant range…

The density-dependent nuclear symmetry energy is directly related to the isospin asymmetry for finite and infinite nuclear systems. It is critical to determine the coefficients of symmetry energy and its related observables as it holds…

Nuclear Theory · Physics 2022-08-10 Praveen K. Yadav , Raj Kumar , M. Bhuyan

The parametric instability arising when ordinary differential equations (ODEs) are numerically integrated with Runge-Kutta-Nystr\"om (RKN) methods with varying step sizes is investigated. It is shown that when linear constant coefficient…

Numerical Analysis · Mathematics 2012-09-25 Robert Piché

The phase diagram of the superfluid phase coupled to spin singlet (S=0) and isospin triplet (T=1) states in infinite nuclear matter is analyzed within the nonrelativistic Skyrme model. We use an approach that allows a unified and consistent…

Nuclear Theory · Physics 2013-06-14 R. Aguirre

Isoscalar and isovector particle densities are derived analytically by using the approximation of a sharp edged nucleus within the local energy density approach with the proton-neutron asymmetry and spin-orbit effects. Equations for the…

Nuclear Theory · Physics 2009-05-29 A. G. Magner , A. I. Sanzhur , A. M. Gzhebinsky

The spinodal instabilities in hot asymmetric nuclear matter and some important critical parameters derived thereof are studied using six different families of relativistic mean-field (RMF) models. The slopes of the symmetry energy…

Nuclear Theory · Physics 2017-05-31 N. Alam , H. Pais , C. Providência , B. K. Agrawal

A self-consistent Quasiparticle-Random-Phase-Approximation (QRPA) model which employs the canonical Hartree-Fock-Bogoliubov (HFB) basis and an energy-density functional with a Skyrme mean field part and a density-dependent pairing, is used…

Nuclear Theory · Physics 2008-12-24 Jun Li , Gianluca Colo' , Jie Meng

Nuclear $\beta$-decay in magic nuclei is investigated, taking into account the coupling between particle and collective vibrations,on top of self-consistent random phase approximation calculations based on Skyrme density functionals. The…

Nuclear Theory · Physics 2015-04-16 Yifei Niu , Zhongming Niu , Gianluca Colo , Enrico Vigezzi