A SKYRME PARAMETRIZATION BASED ON NUCLEAR MATTER BHF CALCULATIONS

2000 ◽  
Vol 15 (20) ◽  
pp. 1287-1299 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Nuclear Matter ◽  
Density Functional ◽  
Nucleon Nucleon ◽  
Energy Density Functional ◽  
Hartree Fock ◽  
Saturation Properties ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Finite Nuclei

Using a modified energy density functional of nuclear matter derived by solving the Bethe–Goldstone equation with a realistic nucleon–nucleon interaction and by including corrections due to relativistic and three-body effects, an effective Skyrme parameter set is derived. These corrections are found to be important in order to well describe the saturation properties of nuclear matter. The obtained Skyrme parameter set, which we denoted by SKRA, is found to better account for nuclear correlations and satisfactory describes finite nuclei, when used in the Skyrme–Hartree–Fock theory. The SKRA interaction can also be considered as an important step toward removing the ambiguities in the determination of Skyrme parameters.

scholarly journals Microscopic optical potentials within the weak density dependent nucleon-nucleon effective interactions

2017 ◽  
Vol 126 (1C) ◽  
pp. 17
Author(s):  
Nguyễn Như Lê ◽  
Trần Viết Nhân Hào
Keyword(s):  
Density Functional ◽  
Collective Motion ◽  
Nucleon Nucleon ◽  
Energy Density Functional ◽  
Effective Interactions ◽  
Density Dependent ◽  
Hartree Fock ◽  
Optical Potentials ◽  
Weak Density ◽  
Nucleon Nucleon Interaction

<p class="tomtat1">The microscopic optical potentials have been investigated in the framework of the nuclear structure approach based on the energy-density functional approaches. The effective phenomenological nucleon-nucleon interaction SLy5 is consistently used to obtain the Hartree-Fock single particle states, the collective motion at small amplitudes of the target, and the coupling between the particle and phonons. The role of the weak density dependent interaction is showed. </p>

NUCLEON-NUCLEON CROSS SECTIONS IN ISOSPIN ASYMMETRIC NUCLEAR MATTER

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1788-1793
Author(s):  
HONGFEI ZHANG ◽  
JIANMIN DONG ◽  
WEI ZUO ◽  
UMBERTO LOMBARDO
Keyword(s):  
Nuclear Matter ◽  
Cross Sections ◽  
Nucleon Nucleon ◽  
Density Region ◽  
Proton Proton ◽  
Asymmetric Nuclear Matter ◽  
Hartree Fock ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Neutron Cross Sections

The in medium nucleon-nucleon (NN) cross sections in isospin asymmetric nuclear matter at various densities are investigated in the framework of Brueckner-Hartree-Fock theory with the Bonn B two-body nucleon-nucleon interaction supplemented with a new version microscopic three-body force (TBF). The TBF depresses the amplitude of cross sections at high density region. At low densities, the proton-proton and neutron-neutron cross sections decrease while the proton-neutron one increases as the asymmetry increases. But the sensitivity of the NN cross sections to the isospin asymmetry are reduced with the increasing density.

scholarly journals Investigation of the nuclear structure of 84-108Mo isotopes using Skyrme-Hartree-Fock method

2019 ◽  
Vol 13 (26) ◽  
pp. 1-11
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Density Functional ◽  
Good Description ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Energy Density Functional ◽  
Charge Densities ◽  
Hartree Fock

Over the last few decades the mean field approach using selfconsistentHaretree-Fock (HF) calculations with Skyrme effectiveinteractions have been found very satisfactory in reproducingnuclear properties for both stable and unstable nuclei. They arebased on effective energy-density functional, often formulated interms of effective density-dependent nucleon–nucleon interactions.In the present research, the SkM, SkM*, SI, SIII, SIV, T3, SLy4,Skxs15, Skxs20 and Skxs25 Skyrme parameterizations have beenused within HF method to investigate some static and dynamicnuclear ground state proprieties of 84-108Mo isotopes. In particular,the binding energy, proton, neutron, mass and charge densities andcorresponding root mean square radius, neutron skin thickness andcharge form factor are calculated by using this method with theSkyrme parameterizations mentioned above. The calculated resultsare compared with the available experimental data. Calculationsshow that the Skyrme–Hartree–Fock (SHF) theory with aboveforce parameters provides a good description on Mo isotopes.

scholarly journals Limiting symmetry energy elements from empirical evidence

2017 ◽  
Vol 26 (05) ◽  
pp. 1750022 ◽  
Author(s):  
B. K. Agrawal ◽  
S. K. Samaddar ◽  
J. N. De ◽  
C. Mondal ◽  
Subhranil De
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Density Functional ◽  
Effective Interaction ◽  
Finite Range ◽  
Energy Density Functional ◽  
Density Dependent ◽  
Bulk Data ◽  
Energy Coefficient ◽  
Finite Nuclei

In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The parameters of this interaction are determined from well-accepted characteristic constants associated with homogeneous nuclear matter. The symmetry energy coefficient [Formula: see text], its density slope [Formula: see text], the symmetry incompressibility [Formula: see text] as well as the density-dependent incompressibility [Formula: see text] evaluated with this EoS are seen to be in good harmony with those obtained from other diverse perspectives. The higher order symmetry energy coefficients [Formula: see text], etc., are seen to be not very significant in the domain of densities relevant to finite nuclei, but gradually build up at supra-normal densities. The analysis carried out with a Skyrme-inspired energy density functional (EDF) obtained with the same input values for the empirical bulk data associated with nuclear matter yields nearly the same results.

Saturation properties of infinite nuclear matter via hartree-fock calculations on finite nuclei

1979 ◽  
Vol 317 (2-3) ◽  
pp. 447-459 ◽  
Author(s):  
J.M. Pearson ◽  
B. Rouben ◽  
G. Saunier ◽  
F. Brut
Keyword(s):  
Nuclear Matter ◽  
Hartree Fock ◽  
Saturation Properties ◽  
Finite Nuclei

scholarly journals Unified Equation of State for Neutron Stars Based on the Gogny Interaction

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1613
Author(s):  
Xavier Viñas ◽  
Claudia Gonzalez-Boquera ◽  
Mario Centelles ◽  
Chiranjib Mondal ◽  
Luis M. Robledo
Keyword(s):  
Equation Of State ◽  
Neutron Stars ◽  
Density Functional ◽  
Mean Field ◽  
Nuclear Interaction ◽  
Energy Density Functional ◽  
Hartree Fock ◽  
The Moment ◽  
Finite Nuclei ◽  
Pairing Field

The effective Gogny interactions of the D1 family were established by D. Gogny more than forty years ago with the aim to describe simultaneously the mean field and the pairing field corresponding to the nuclear interaction. The most popular Gogny parametrizations, namely D1S, D1N and D1M, describe accurately the ground-state properties of spherical and deformed finite nuclei all across the mass table obtained with Hartree–Fock–Bogoliubov (HFB) calculations. However, these forces produce a rather soft equation of state (EoS) in neutron matter, which leads to predict maximum masses of neutron stars well below the observed value of two solar masses. To remove this limitation, we built new Gogny parametrizations by modifying the density dependence of the symmetry energy predicted by the force in such a way that they can be applied to the neutron star domain and can also reproduce the properties of finite nuclei as good as their predecessors. These new parametrizations allow us to obtain stiffer EoS’s based on the Gogny interactions, which predict maximum masses of neutron stars around two solar masses. Moreover, other global properties of the star, such as the moment of inertia and the tidal deformability, are in harmony with those obtained with other well tested EoSs based on the SLy4 Skyrme force or the Barcelona–Catania–Paris–Madrid (BCPM) energy density functional. Properties of the core-crust transition predicted by these Gogny EoSs are also analyzed. Using these new Gogny forces, the EoS in the inner crust is obtained with the Wigner–Seitz approximation in the Variational Wigner–Kirkwood approach along with the Strutinsky integral method, which allows one to estimate in a perturbative way the proton shell and pairing corrections. For the outer crust, the EoS is determined basically by the nuclear masses, which are taken from the experiments, wherever they are available, or by HFB calculations performed with these new forces if the experimental masses are not known.

scholarly journals Semi-classical approximation description of static properties of nuclei

2021 ◽  
Vol 36 (09) ◽  
pp. 2130008
Author(s):  
S. Shlomo ◽  
A. I. Sanzhur
Keyword(s):  
Density Functional ◽  
Wigner Distribution ◽  
Level Density ◽  
Nucleon Nucleon ◽  
Wigner Transform ◽  
Static Properties ◽  
Energy Density Functional ◽  
Properties Of Nuclei ◽  
Particle Level ◽  
Nucleon Nucleon Interaction

In this paper, we present recent development in semi-classical description of static properties of nuclei. By employing the Wigner transform, we derive simple semiclassical approximations for evaluating properties of nuclear system. We present results of calculations of static properties, using the energy density functional associated with Skyrme effective nucleon–nucleon interaction. In particular, we consider properties of the Wigner distribution function, line of beta stability, Coulomb and symmetry energies, deformation energies, equation of state, nuclear radii, and single-particle level density.

scholarly journals Stability of $\alpha$-chain states against disintegrations

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
Akihiro Tohsaki ◽  
Naoyuki Itagaki
Keyword(s):  
Cluster State ◽  
Alpha Decay ◽  
Pauli Principle ◽  
Nucleon Nucleon ◽  
Alpha Chain ◽  
Saturation Properties ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Alpha Cluster ◽  
Alpha Scattering

Abstract We focus on the raison d’être of the $\alpha$-chain states on the basis of the fully microscopic framework, where the Pauli principle among all the nucleons is fully taken into account. Our purpose is to find the limiting number of $\alpha$ clusters on which the linear $\alpha$-cluster state can stably exist. How many $\alpha$ clusters can stably make an $\alpha$-chain state? We examine the properties of equally separated $\alpha$ clusters on a straight line and compare its stability with that on a circle. We also confirm its stability in terms of binary and ternary disintegrations including $\alpha$-decay and fission modes. For the effective nucleon–nucleon interaction we employ the F1 force, which has finite-range three-body terms and guarantees overall saturation properties of nuclei. This interaction also gives a reasonable binding energy and size of the $\alpha$ particle, and the $\alpha$–$\alpha$ scattering phase shift. The result astonishes us because we can point out the possible existence of $\alpha$-chain states with vast numbers of $\alpha$ clusters.

scholarly journals PROBING THE EFFECTIVE NUCLEON-NUCLEON INTERACTION AT BAND TERMINATION

2007 ◽  
Vol 16 (02) ◽  
pp. 360-376 ◽  
Author(s):  
W. SATUŁA
Keyword(s):  
Density Functional ◽  
Nucleon Nucleon ◽  
High Energy ◽  
Low Energy ◽  
Fine Tuning ◽  
Local Theory ◽  
Energy Density Functional ◽  
Practical Applications ◽  
Nucleon Nucleon Interaction ◽  
Nuclear Shell

Low-energy nuclear structure is not sensitive enough to resolve the fine details of the nucleon-nucleon (NN) interaction. The insensitivity of the low-energy (infrared) physics to the details of the short-range strong interaction allows for a consistent, free of high-energy (ultraviolet) divergences, formulation of a local theory at the level of the local energy density functional (LEDF) including on the same footing, particle-hole and particle-particle channels. A major difficulty is related to the parameterization of the nuclear LEDF and its density dependence. It is argued that the structural simplicity of terminating or isomeric states offers an invaluable source of information that can be used for fine-tuning of the NN interaction in general and the nuclear LEDF parameters in particular. Practical applications of terminating states at the level of LEDF and nuclear shell-model are discussed.

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