Shell model and Hartree–Fock calculations for some exotic nuclei

2015 ◽  
Vol 24 (12) ◽  
pp. 1550099 ◽  
Author(s):  
Ali A. Alzubadi ◽  
Nabeel F. Latooffi ◽  
R. A. Radhi
Keyword(s):  
Shell Model ◽  
Mass Density ◽  
Effective Interaction ◽  
Mean Field ◽  
Form Factors ◽  
Field Approximation ◽  
Exotic Nuclei ◽  
Mean Field Approximation ◽  
Hartree Fock ◽  
Density Distributions

Mass density distributions, the associated nuclear radii and elastic electron scattering form factors of light exotic nuclei, [Formula: see text]Li, [Formula: see text]Be, [Formula: see text]Be and 8B have been calculated using shell model (SM) and Hartree–Fock (HF) methods. We consider truncated spsdpf no core SM and WBP two-body effective interaction to give the SM wave functions. The single-particle matrix elements have been calculated with Skyrme-Hartree–Fock (SHF) potential with different parametrizations. It is shown that the calculated densities and form factors are in fine agreement with experimental data. This agreement can be interpreted as the adequacy of the HF mean-field approximation for exotic nuclei.

scholarly journals VECTOR-LIKE CONTRIBUTIONS FROM OPTIMIZED PERTURBATION IN THE ABELIAN NAMBU–JONA-LASINIO MODEL FOR COLD AND DENSE QUARK MATTER

2012 ◽  
Vol 21 (03) ◽  
pp. 1250017 ◽  
Author(s):  
JEAN-LOÏC KNEUR ◽  
MARCUS BENGHI PINTO ◽  
RUDNEI O. RAMOS ◽  
EDERSON STAUDT
Keyword(s):  
Chemical Potential ◽  
Percent Level ◽  
Mean Field ◽  
Physical Nature ◽  
Temperature Limit ◽  
Field Approximation ◽  
Scalar Coupling ◽  
Mean Field Approximation ◽  
Vector Coupling ◽  
Hartree Fock

Two-loop corrections for the standard Abelian Nambu–Jona-Lasinio model are obtained with the optimized perturbation theory (OPT) method. These contributions improve the usual mean-field and Hartree–Fock results by generating a 1/Nc suppressed term, which only contributes at finite chemical potential. We take the zero temperature limit observing that, within the OPT, chiral symmetry is restored at a higher chemical potential μ, while the resulting equation of state is stiffer than the one obtained when mean-field is applied to the standard version of the model. In order to understand the physical nature of these finite Nc contributions, we perform a numerical analysis to show that the OPT quantum corrections mimic effective repulsive vector–vector interaction contributions. We also derive a simple analytical approximation for the mass gap, accurate at the percent level, matching the mean-field approximation extended by an extra vector channel to OPT. For μ ≳ μc the effective vector coupling matching OPT is numerically close (for the Abelian model) to the Fierz-induced Hartree–Fock value G/(2Nc), where G is the scalar coupling, and then increases with μ in a well-determined manner.

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

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

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.

Variational Approach to Electron Transfer in Bridged Diruthenium Complexes

2004 ◽  
Vol 218 (5) ◽  
pp. 611-622 ◽  
Author(s):  
Elena Vollmer ◽  
Mattias Kordel ◽  
Thorsten Koslowski
Keyword(s):  
Electron Transfer ◽  
Tight Binding ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Charge Delocalization ◽  
Reaction Field ◽  
Hartree Fock ◽  
Charge Transfer Rate ◽  
Spin Pairing

AbstractIn this work, we address the energetics of electron transfer in bridged diruthenium complexes from a theoretical and numerical perspective. The electronic structure of the bridged complexes is described by a tight-binding Hamiltonian, which is extended by an on-site spin pairing energy. The coupling of the system to a polarizable solvent is taken into account by a nonretarded reaction field. The resulting nonlinear Hamiltonian is solved within the Hartree–Fock mean-field approximation, and the emerging potential energy surface is analysed using Marcus´ theory of electron transfer reactions. For the systems studied here, the charge transfer rate depends on the chemical nature of the bridge rather than the intermetal distance. We discuss the special nature of the Creutz–Taube cation, which is on the border of charge delocalization.

scholarly journals Investigation of density and form factor of some F isotopes using Hartree-Fock and shell model calculations

2019 ◽  
Vol 14 (30) ◽  
pp. 158-171
Author(s):  
Wasan Z. Majeed
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Form Factors ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Model Calculations ◽  
Hartree Fock ◽  
Density Distributions ◽  
Tail Part ◽  
Good Agreement

Structure of unstable 21,23,25,26F nuclei have been investigatedusing Hartree – Fock (HF) and shell model calculations. The groundstate proton, neutron and matter density distributions, root meansquare (rms) radii and neutron skin thickness of these isotopes arestudied. Shell model calculations are performed using SDBAinteraction. In HF method the selected effective nuclear interactions,namely the Skyrme parameterizations SLy4, Skeσ, SkBsk9 andSkxs25 are used. Also, the elastic electron scattering form factors ofthese isotopes are studied. The calculated form factors in HFcalculations show many diffraction minima in contrary to shellmodel, which predicts less diffraction minima. The long tailbehaviour in nuclear density is noticeable seen in HF more than shellmodel calculations. The deviation occurs between shell model andHF results are attributed to the sensitivity of charge form factors tothe change of the tail part of the charge density. Calculations donefor the rms radii in shell model showed excellent agreement withexperimental values, while HF results showed an overestimation inthe calculated rms radii for 21,23F and good agreement for 25,26F. Ingeneral, it is found that the shell model and HF results have the samebehaviour when the mass number (A) increase.

scholarly journals Faddeev Approach to the Nucleon in the NJL model

1997 ◽  
Vol 50 (1) ◽  
pp. 123
Author(s):  
N. Ishii ◽  
H. Asami ◽  
W. Bentz ◽  
K. Yazaki
Keyword(s):  
Magnetic Moments ◽  
Effective Interaction ◽  
Mass Difference ◽  
Mean Field ◽  
Field Approximation ◽  
Coupling Constants ◽  
Mean Field Approximation ◽  
State Matrix ◽  
Njl Model ◽  
The Mean

The nucleon and the delta are described as solutions of the relativistic Faddeev equation in the NJL model. We discuss the dependence of the baryon masses on the particular form of the four-Fermi interaction Lagrangians. Using the quark–diquark wave function, we calculate some bound state matrix elements such as the axial coupling constants, magnetic moments of the nucleon, the pion-nucleon sigma term and the proton-neutron mass difference. We also try to compare two pictures of describing the baryons in the NJL model, i.e. the mean-field approximation and the relativistic Faddeev approach. As a first step, we discuss how to improve the mean-field approximation by introducing an effective interaction. We also discuss the perturbative estimate of the deformation of the `vacuum" in the Faddeev approach.

BEYOND THE RELATIVISTIC MEAN-FIELD APPROXIMATION: CONFIGURATION MIXING CALCULATIONS

2011 ◽  
Vol 20 (02) ◽  
pp. 459-464 ◽  
Author(s):  
T. NIKŠIĆ ◽  
D. VRETENAR ◽  
P. RING
Keyword(s):  
Degrees Of Freedom ◽  
Effective Interaction ◽  
Mean Field ◽  
Field Approximation ◽  
Binding Energies ◽  
Mean Field Approximation ◽  
Large Set ◽  
Relativistic Mean Field ◽  
Interaction Terms ◽  
Range Dynamics

A class of relativistic nuclear energy density functionals is explored, in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance correlations, as well as intermediate and long-range dynamics, are encoded in the nucleon-density dependence of the strength functionals of an effective interaction Lagrangian. The resulting phenomenological effective interaction, adjusted to experimental binding energies of a large set of axially deformed nuclei, together with a new separable pairing interaction adjusted to reproduce the pairing gap in nuclear matter calculated with the Gogny force, is applied in the description of the quadrupole dynamics in Pt isotopes.

Deformation effects on isospin mixing and isobar analogue resonance for 74−80Kr isotopes

Open Physics ◽  
2014 ◽  
Vol 12 (7) ◽  
Author(s):  
Hasan Aygör ◽  
Serdar Ünlü ◽  
Neçla Çakmak ◽  
Cevat Selam
Keyword(s):  
Effective Interaction ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Strength Parameter ◽  
Isobaric Analogue ◽  
Analogue Resonance ◽  
Consistent Method ◽  
The Mean

AbstractPyatov’s method has been applied to investigate Fermi beta transitions in deformed 74–80Kr isotopes. This self-consistent method, which was used to study the isobar analogue states in the spherical odd-odd nuclei, has to date not been applied for the isobar analogue states in deformed nuclei. The nucleon-nucleon residual interaction has been included so that the broken isospin symmetry in the mean field approximation has been restored and the strength parameter of the effective interaction has been taken out to be a free parameter. The energies and wave functions of the isobaric analogue excitations in 74–80Rb isotopes have been obtained within the framework of the pnQRPA method. The probability of the isospin mixing in the ground states and the centroid energies of the isobar analogue resonance have been presented and the deformation effects on these quantities have been quantified.

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