scholarly journals Atomic ground state energies

1980 ◽  
Vol 58 (12) ◽  
pp. 1684-1685
Author(s):  
R. K. Bhaduri ◽  
M. Brack
Keyword(s):  
Coulomb Potential ◽  
Ground State ◽  
Great Accuracy ◽  
Model System ◽  
Binding Energies ◽  
Scaled Model ◽  
Hartree Fock ◽  
Atomic Ground State ◽  
Ground State Energies

It is demonstrated that atomic Hartree–Fock binding energies may be reproduced with great accuracy (within about four parts in a thousand) by a scaled model system in which the electrons are noninteracting, and are bound in a bare Coulomb potential.

Perturbation treatment of the Hartree–Fock equations for the ground states of the boron-like ions

1969 ◽  
Vol 47 (7) ◽  
pp. 699-705 ◽  
Author(s):  
C. S. Sharma ◽  
R. G. Wilson
Keyword(s):  
Ground State ◽  
Atomic System ◽  
Ground States ◽  
Great Accuracy ◽  
Second Order ◽  
Expectation Values ◽  
Third Order ◽  
First Order ◽  
Hartree Fock ◽  
The Third

The first-order Hartree–Fock and unrestricted Hartree–Fock equations for the ground state of a five electron atomic system are solved exactly. The solutions are used to evaluate the corresponding second-order energies exactly and the third-order energies with great accuracy. The first-order terms in the expectation values of 1/r, r, r2, and δ(r) are also calculated.

NEW CALCULATION FOR SOME GROUND STATE FEATURES OF 40Ca, 48Ca32S AND 39K NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 291-298 ◽  
Author(s):  
H. AYTEKIN ◽  
R. BALDIK ◽  
E. TEL ◽  
A. AYDIN
Keyword(s):  
Ground State ◽  
Nuclear Charge ◽  
Mean Field ◽  
Binding Energies ◽  
Charge Radii ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Total Binding ◽  
Experimental Values

Some ground states features of 32 S , 39 K , 40 Ca and 48 Ca nuclei are investigated using the Hartree–Fock method with the Skyrme SKM * and SLy4 forces calculated in two different code implementations. The calculated total binding energies per particle and root mean square (rms) nuclear charge radii using the Skyrme–Hartree–Fock (SHF) + BCS method are compared with relativistic mean-field (RMF) theory and experimental values. The obtained charge density distributions from these code implementations are compared with the experimental data. Pairing effects are also included in calculations for the same nuclei. Variations of the total binding energies per particle and rms nuclear charge radii were investigated as the last shell nucleons were carried to the upper shell.

scholarly journals Effects of the Tensor Force on the Ground Properties of Zr Isotopes

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2193
Author(s):  
Chao-Feng Chen ◽  
Qi-Bo Chen ◽  
Xian-Rong Zhou ◽  
Yi-Yuan Cheng
Keyword(s):  
Symmetry Breaking ◽  
Single Particle ◽  
Ground State ◽  
Tensor Force ◽  
Pseudospin Symmetry ◽  
Hartree Fock ◽  
Geometric Symmetry ◽  
Symmetry Properties ◽  
Ground State Energies

The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near N=60 region. The effects are attributed to the fact that the tensor force enlarges the spin and pseudospin symmetry breaking and therefore results in a ∼2 MeV sub-shell gap between d3/2 and s1/2 single-particle levels.

scholarly journals Study the atomic properties of 2s shell for some atoms

2019 ◽  
Vol 11 (22) ◽  
pp. 20-26
Author(s):  
Shaymaa Awad Kadhim
Keyword(s):  
Wave Function ◽  
Ground State ◽  
The Other ◽  
Expectation Values ◽  
Hartree Fock ◽  
Atomic Properties ◽  
Ground State Energies

Ground state energies and other properties of 2S shell for some atoms as Be(Z=4), B(Z=5), C(Z=6) and N(Z=7) were calculated by using Hartree-Fock wave function. We found the values of potential energies in hartree unit (3.8369, 6.78565, 10.18852 and 14.41089) respectively and the other proprieties like expectation values of the position < r1m >  were in agreement with the published results. All the studied atomic properties were normalized. 

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