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

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.

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

HUE UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCE ◽

10.26459/hueuni-jns.v126i1c.4402 ◽

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>

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Study of the Static and Dynamic Nuclear Properties and Form Factors for Some Magnesium Isotopes 29-34 Mg

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v19i49.663 ◽

2021 ◽

Vol 19 (49) ◽

pp. 82-93

Author(s):

Lubna Abduljabbar Mahmood ◽

Gaith Naima Flaiyh

Keyword(s):

Shell Model ◽

Mean Field ◽

Form Factors ◽

Field Method ◽

Inelastic Electron ◽

Neutron Skin ◽

Nuclear Excitation ◽

Charge Densities ◽

Hartree Fock ◽

Transverse Form Factor

Nuclear structure of 29-34Mg isotopes toward neutron dripline have been investigated using shell model with Skyrme-Hartree–Fock calculations. In particular nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors are calculated for positive low-lying states. The deduced results are discussed for the transverse form factor and compared with the available experimental data. It has been confirmed that the combining shell model with Hartree-Fock mean field method with Skyrme interaction can accommodate very well the nuclear excitation properties and can reach a highly descriptive and predictive power when investigating different nuclear configurations of stable and unstable nuclei.

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

Symmetry ◽

10.3390/sym13091613 ◽

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.

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A SKYRME PARAMETRIZATION BASED ON NUCLEAR MATTER BHF CALCULATIONS

Modern Physics Letters A ◽

10.1142/s0217732300001663 ◽

2000 ◽

Vol 15 (20) ◽

pp. 1287-1299 ◽

Cited By ~ 24

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.

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Nuclear Structure Investigation of Some Ni-Isotopes Using Skyrme-Hartree-Fock Method

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v17i42.195 ◽

2019 ◽

Vol 17 (42) ◽

pp. 1-12

Author(s):

Ali Ahmed Abdulhasan

Keyword(s):

Ground State ◽

Mean Field ◽

Form Factors ◽

Binding Energies ◽

Ground State Structure ◽

Skin Thickness ◽

Neutron Skin ◽

Effective Interactions ◽

Hartree Fock ◽

Nuclear Ground State

The nuclear ground-state structure of some Nickel (58-66Ni) isotopes has been investigated within the framework of the mean field approach using the self-consist Hartree-Fock calculations (HF) including the effective interactions of Skyrme. The Skyrme parameterizations SKM, SKM*, SI, SIII, SKO, SKE, SLY4, SKxs15, SKxs20 and SKxs25 have been utilized with HF method to study the nuclear ground state charge, mass, neutron and proton densities with the corresponding root mean square radii, charge form factors, binding energies and neutron skin thickness. The deduced results led to specifying one set or more of Skyrme parameterizations that used to achieve the best agreement with the available experimental data.

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Microscopic description of the fusion excitation function of 32,36S+90,94,96Zr

International Journal of Modern Physics E ◽

10.1142/s0218301320500469 ◽

2020 ◽

Vol 29 (07) ◽

pp. 2050046

Author(s):

M. Rashdan ◽

T. A. Abdel-Karim

Keyword(s):

Excitation Function ◽

Excited States ◽

Density Functional ◽

Neutron Density ◽

Energy Density Functional ◽

Hartree Fock ◽

Density Distributions ◽

Text Interaction ◽

Good Agreement

The fusion excitation function for the systems [Formula: see text]S+[Formula: see text]Zr is investigated using a microscopic internuclear potential derived from Skyrme energy density functional. The inputs in this approach are the proton and neutron density distributions of the interacting nuclei, which are derived from Skyrme–Hartree–Fock calculations. The SkM[Formula: see text] interaction is used in the calculation of the nuclear densities as well as the internuclear potential. The coupling to low lying inelastic excited states of target and projectile is considered. The role of the neutron transfer is discussed, where it is considered through the CCFULL model calculation. A good agreement with the experimental data is obtained without adjustable parameters.

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Interactions between charged surfaces mediated by molecules with spatially distributed charges

Pure and Applied Chemistry ◽

10.1351/pac-con-12-04-08 ◽

2012 ◽

Vol 85 (1) ◽

pp. 15-26 ◽

Cited By ~ 1

Author(s):

Klemen Bohinc

Keyword(s):

Density Functional ◽

Mean Field Theory ◽

Mean Field ◽

Short Review ◽

Molecular Shape ◽

Attractive Force ◽

Charge Densities ◽

Charged Surfaces ◽

Spatially Distributed ◽

Rigid Rod

A short review of recent theoretical advances in studies of the interaction between highly charged systems is presented. Such a system could not be described by the mean field theory. More advanced methods have to be used in order to introduce the correlations between highly charged particles. In this work I focus on the system of highly charged surfaces, separated by a solution of molecules with spatially distributed charge. Two different representations of the molecular shape will be considered: rod-like and spherical. The system will be theoretically described by the density functional theory. For sufficiently long molecules and large surface charge densities, an attractive force between like-charged surfaces arises due to the spatially distributed charges within the molecules. The added salt has influence on the condition for the attractive force between like-charged surfaces. The theoretical results will be compared with Monte Carlo (MC) simulations. Recent measurements with multivalent rigid rod-like particles will be discussed.

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QUASILOCAL DENSITY FUNCTIONAL THEORY FOR NUCLEI INCLUDING PAIRING CORRELATIONS

International Journal of Modern Physics E ◽

10.1142/s0218301307005697 ◽

2007 ◽

Vol 16 (02) ◽

pp. 249-262 ◽

Cited By ~ 1

Author(s):

X. VIÑAS ◽

V. I. TSELYAEV ◽

V. B. SOUBBOTIN ◽

S. KREWALD

Keyword(s):

Density Functional Theory ◽

Density Functional ◽

Equations Of Motion ◽

Mean Field ◽

Field Operator ◽

Functional Theory ◽

Hartree Fock ◽

Orbit Potential ◽

The Density Functional Theory ◽

Pairing Correlations

We propose first a generalization of the Density Functional Theory leading to single-particle equations of motion with a quasilocal mean-field operator containing a position-dependent effective mass and a spin-orbit potential. Ground-state properties of doubly magic nuclei are obtained within this framework using the Gogny D1S force and compared with the exact Hartree-Fock values. Next, extend the Density Functional Theory to include pairing correlations without formal violation of the particle-number condition. This theory, which is nonlocal, is simplified by a suitable quasilocal reduction. Some calculations to show the ability of this theory are presented.

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Study of NO and CO dissociation on the (100) Cu surface using density functional theory and the topological analysis of the electronic density and its Laplacian

Canadian Journal of Chemistry ◽

10.1139/v96-114 ◽

1996 ◽

Vol 74 (6) ◽

pp. 1014-1020 ◽

Cited By ~ 7

Author(s):

Yosslen Aray ◽

Jesús Rodríguez

Keyword(s):

Density Functional Theory ◽

Density Functional ◽

Good Description ◽

Topological Analysis ◽

Molecular Graph ◽

Electronic Density ◽

Functional Theory ◽

Hartree Fock ◽

Local Charge ◽

Charge Concentration

Molecular orbital ab initio Hartree–Fock, post-Hartree–Fock at the MP2 and QCISD levels, and density functional theory calculations of the dipole moment, the topology of the electronic density, ρ(r), and its Laplacian, [Formula: see text], for CO and NO molecules are reported. The results obtained confirm that density functional methods provide remarkably good electronic properties and a good description of the topology of ρ(r) and [Formula: see text]. The Becke exchange functional with the correlation functional of Lee, Yang, and Parr was used to calculate the electronic density of the (100) Cu surface. Topological analysis of ρ(r) shows that the crystal graph corresponds to square pyramids between the atoms of the top of the surface and the atoms of the second layer The topological analysis of [Formula: see text] shows that the atomic graph of the Cu surface exhibits one (3,−3) local charge concentration surrounded by four (3,+1) local charge depletion points. Additionally, there is a (3,+3) local depletion in the midpoint between each of four contiguous Cu atoms corresponding to the active site for the adsorption of the (3,−3) local charge concentration on the C atom of the CO or the N atom of the NO molecule. The larger value of the [Formula: see text] at the nonbonded charge concentration on the atoms and the geometrical configuration of these critical points favor the interaction of the NO over the CO molecule with the (100) Cu surface. This result is in accord with the known reaction barriers for these molecules. Key words: density functional theory, Laplacian of the electronic density, (100) Cu surface, carbon monoxide, nitrogen monoxide, molecular graph, atomic graph.

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