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 HARTREE–FOCK GROUND STATE OF THE COMPOSITE FERMION METAL

1995 ◽  
Vol 09 (14) ◽  
pp. 889-894
Author(s):  
PIOTR SITKO ◽  
LUCJAN JACAK
Keyword(s):  
Single Particle ◽  
Ground State ◽  
Particle Energy ◽  
Fermi Velocity ◽  
Exchange Term ◽  
Single Particle Energy ◽  
Composite Fermion ◽  
Hartree Fock ◽  
Logarithmic Interaction ◽  
Particle Exchange

Within the Hartree–Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of the single-particle exchange at the Fermi momentum. It is shown that the Hartree–Fock result brings no corrections to the RPA Fermi velocity.

DETAILED INVESTIGATION OF THE TENSOR FORCE ON THE EVALUATION OF THE SINGLE PARTICLE LEVELS OF Z = 28 AND Z = 82 NUCLEI

2013 ◽  
Vol 28 (38) ◽  
pp. 1350177 ◽  
Author(s):  
E. YÜKSEL ◽  
Ç GÖK ◽  
K. BOZKURT
Keyword(s):  
Single Particle ◽  
Shell Structure ◽  
Crucial Role ◽  
Tensor Force ◽  
Tensor Interaction ◽  
Spin Orbit ◽  
Isotopic Chain ◽  
Pairing Energy ◽  
Hartree Fock

In this work, effects of tensor force on the evaluation of shell structure of Z = 28 and Z = 82 isotopes are investigated in the framework of Hartree–Fock+BCS approach. Skyrme type SLy5 and SIII interactions are used with and without tensor interaction. The effect of tensor force on the gap evaluation, single particle energies and spin-orbit splittings of the selected isotopic chain are presented. Pairing energy results are also discussed. It is shown that tensor force plays a crucial role in the evaluation of the single particle states and changing spin-orbit splittings of Nickel and Lead isotopic chain.

scholarly journals Abelian and non-abelian symmetries in infinite projected entangled pair states

2018 ◽  
Vol 5 (5) ◽  
Author(s):  
Claudius Hubig
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Ground State ◽  
Heisenberg Model ◽  
Computational Effort ◽  
Square Lattice ◽  
Two Dimensional ◽  
Computational Speed ◽  
Speed Up ◽  
Ground State Energies

We explore in detail the implementation of arbitrary abelian and non-abelian symmetries in the setting of infinite projected entangled pair states on the two-dimensional square lattice. We observe a large computational speed-up; easily allowing bond dimensions D=10D=10 in the square lattice Heisenberg model at computational effort comparable to calculations at D=6D=6 without symmetries. We also find that implementing an unbroken symmetry does not negatively affect the representative power of the state and leads to identical or improved ground-state energies. Finally, we point out how to use symmetry implementations to detect spontaneous symmetry breaking.

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.

scholarly journals Evolution of nuclear spin-orbit splittings with Skyrme functional SAMi-T

2019 ◽  
Vol 223 ◽  
pp. 01059
Author(s):  
Shihang Shen ◽  
Gianluca Colò ◽  
Xavier Roca-Maza
Keyword(s):  
Single Particle ◽  
Good Description ◽  
Mean Field ◽  
Tensor Force ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Giant Resonances ◽  
Hartree Fock ◽  
Nuclear Ground State ◽  
Vibration Coupling

A new Skyrme functional has been developed with tensor term guided by ab initio relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Instead of extracting information on the tensor force from experimental single-particle energy splittings, the RBHF calculations do not contain beyond mean-field effects such as particle-vibration coupling and therefore the information on the tensor force can be obtained without ambiguities. The new functional gives a good description of nuclear ground-state properties aswell as various giant resonances. The description for the evolution of single-particle energy splittings is also improved by the new functional.

On the Ground State of B.C.C. 3He

1972 ◽  
Vol 50 (11) ◽  
pp. 1143-1151 ◽  
Author(s):  
H. R. Glyde ◽  
F. C. Khanna
Keyword(s):  
Single Particle ◽  
Ground State ◽  
State Energy ◽  
Solid Helium ◽  
Lattice Dynamic ◽  
Matrix Approximation ◽  
Hartree Fock ◽  
Volume Dependence ◽  
T Matrix ◽  
Good Agreement

The ground state properties of b.c.c. 3He are computed using both the localized single particle functions due to Nosanow and the correlated functions due to Koehler in conjunction with the T-matrix approximation of Glyde and Khanna. The trial functions and T matrix are computed iteratively much as suggested for the Brueckner–Hartree–Fock scheme for nuclear matter. The correlated ground state energy lies ~6 cal/mole below the single particle value and is in good agreement with the observed value of Pandorf and Edwards. The volume dependence, however, is poor suggesting that cubic terms such as incorporated in the improved theory of Goldman et al. are important in solid helium. When combined with lattice dynamic work, the present results suggest correlated functions provide a much better description of solid helium.

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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