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>

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 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.

PAIRING CORRELATIONS IN UNSTABLE NUCLEI AND BCS-BEC CROSSOVER

2009 ◽  
Vol 18 (10) ◽  
pp. 2035-2039
Author(s):  
H. SAGAWA ◽  
J. MARGUERON ◽  
K. HAGINO
Keyword(s):  
Lead Isotopes ◽  
Neutron Number ◽  
Nucleon Nucleon ◽  
Pairing Interaction ◽  
Density Dependent ◽  
Hartree Fock ◽  
Unstable Nuclei ◽  
Pairing Correlations ◽  
Pairing Interactions ◽  
Nucleon Nucleon Interaction

We propose new types of density dependent contact pairing interaction which reproduce the pairing gaps in symmetric and neutron matters obtained by a microscopic treatment of the realistic nucleon-nucleon interaction. The BCS-BEC crossover of neutrons pairs in symmetric and asymmetric nuclear matters is studied by using these contact interactions. It is shown that the bare and screened pairing interactions lead to different features of the BCS-BEC crossover in symmetric nuclear matter. We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium, Nickel, Tin and Lead isotopes using these density-dependent pairing interactions. It is pointed out that the isospin dependent pairing interaction reproduces well the neutron number dependence of experimental data for the binding energy, two neutrons separation energy, and odd-even mass staggering of these isotopes.

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.

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 Microscopic description of large amplitude collective motion in the nuclear astrophysics context

2015 ◽  
Vol 24 (09) ◽  
pp. 1541005 ◽  
Author(s):  
Denis Lacroix ◽  
Yusuke Tanimura ◽  
Guillaume Scamps ◽  
Cédric Simenel
Keyword(s):  
Large Amplitude ◽  
Density Functional ◽  
Collective Motion ◽  
Three Dimensional ◽  
Nuclear Astrophysics ◽  
Giant Resonances ◽  
Unified Framework ◽  
Energy Density Functional ◽  
Effective Interactions ◽  
Fusion Transfer

In the last 10 years, we have observed an important increase of interest in the application of time-dependent energy density functional (TD-EDF) theory. This approach allows to treat nuclear structure and nuclear reaction from small to large amplitude dynamics in a unified framework. The possibility to perform unrestricted three-dimensional simulations using state-of-the-art effective interactions has opened new perspectives. In the present paper, an overview of applications where the predictive power of TD-EDF has been benchmarked is given. A special emphasize is made on processes that are of astrophysical interest. Illustrations discussed here include giant resonances, fission, binary and ternary collisions leading to fusion, transfer and deep inelastic processes.

Microscopic optical potential obtained from energy-density-functional approach for neutron–nucleus elastic scattering

2018 ◽  
Vol 27 (06) ◽  
pp. 1850052 ◽  
Author(s):  
T. V. Nhan Hao ◽  
N. Nhu Le ◽  
Meng-Hock Koh ◽  
N. Quang Hung ◽  
N. Ngoc Duy ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Energy Density ◽  
Density Functional ◽  
Effective Interaction ◽  
Closed Shell ◽  
Nucleon Nucleon ◽  
Major Step ◽  
Energy Density Functional ◽  
Systematic Calculation ◽  
Optical Potentials

Nucleon–nucleus (NA) optical potentials are microscopically generated from a fully self-consistent framework of the particle-vibration coupling (PVC), in which the nucleon–nucleon (NN) effective interaction of the Skyrme type is consistently used to describe the Hartree–Fock (HF) mean-field, the small amplitude collective motions of the target, and the particle-collective states coupling. For the first time, a systematic calculation of low-energy NA elastic scattering off a series of doubly closed-shell nuclei is carried out without ad hoc adjusted parameters. Angular distributions obtained using the present optical potentials are in good agreement with the experimental data. This will be a major step forward in the applications of the Skyrme energy-density-functional theory to build up the global microscopic optical potentials, which are expected to be a powerful tool for the study of unstable (exotic) nuclei at low-incident nucleon energies.

Brueckner-Hartree-Fock Calculations Using Density-Dependent Effective Interactions. Application toO16

1972 ◽  
Vol 5 (1) ◽  
pp. 41-53 ◽  
Author(s):  
Neal E. Reid ◽  
Manoj K. Banerjee ◽  
G. J. Stephenson
Keyword(s):  
Effective Interactions ◽  
Density Dependent ◽  
Hartree Fock

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

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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