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.

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.

scholarly journals Shape coexistence and parity doublet in Zr isotopes

2015 ◽  
Vol 24 (03) ◽  
pp. 1550017 ◽  
Author(s):  
Bharat Kumar ◽  
S. K. Singh ◽  
S. K. Patra
Keyword(s):  
Excited States ◽  
Single Particle ◽  
Energy Levels ◽  
Mean Field ◽  
Particle Energy ◽  
Shape Coexistence ◽  
Single Particle Energy ◽  
Parity Doublet

The ground and excited states properties of Zr isotopes are studied from proton to neutron drip lines using the relativistic (RMF) and nonrelativistic (SHF) mean-field formalisms with Bardeen–Cooper–Schrieffer (BCS) and Bogoliubov pairing, respectively. The well-known NL3* and SLy4 parameter sets are used in the calculations. We have found spherical ground and low-lying large deformed excited states in most of the isotopes. Several couples of Ωπ = 1/2± parity doublets configurations are noticed, while analyzing the single-particle energy levels of the large deformed configurations.

scholarly journals Λ-hyperon interaction with nucleons

2014 ◽  
Vol 29 (19) ◽  
pp. 1450099 ◽  
Author(s):  
M. Ikram ◽  
S. K. Singh ◽  
S. K. Biswal ◽  
M. Bhuyan ◽  
S. K. Patra
Keyword(s):  
Energy Level ◽  
Neutron Energy ◽  
Symmetry Energy ◽  
Single Particle ◽  
Energy Levels ◽  
Mean Field ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Relativistic Mean Field

We study the interaction of Λ-hyperon with proton and neutron inside a nucleus within the framework of relativistic mean field (RMF) formalism. The single-particle energy levels for some of the specific proton and neutron orbits are analyzed with the addition of Λ-successively. The neutron energy level is more deeper, because of decrease in symmetry energy due to substitution of neutron by Λ-hyperon.

Removal and Single Particle Energies in Nuclei

1973 ◽  
Vol 28 (3-4) ◽  
pp. 362-368 ◽  
Author(s):  
Amand Faessler ◽  
H. Müther
Keyword(s):  
Numerical Calculation ◽  
Single Particle ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Absolute Value ◽  
Hartree Fock ◽  
Effective Force ◽  
Maximum Value ◽  
The Difference ◽  
Rearrangement Energy

AbstractThe difference between the absolute value of the Hartree-Fock (HF) single particle energy and the removal energy is studied. This total rearrangement is composed out of the orbital (or spatial) and the Brueckner rearrangement. It is shown analytically within the Pauli-Brueckner HF (PBHF) approach that the saturation potential 〈h | ∂V/∂ρ | h〉 for a density dependent effective force is equal to the Brueckner rearrangement energy of the level | h〉 plus a smaller term. This is in 16O accidentally numerically roughly equal to the orbital rearrangement energy. The numerical calculation in 16O of the rearrangement energies for the proton level yields the maximum value (9 MeV) for the Os½ state. The Brueckner rearrangement is from a factor two to twenty larger than the orbital rearrangement.

scholarly journals Effects of isovector scalar δ–meson on Λ–hypernuclei

2015 ◽  
Vol 24 (03) ◽  
pp. 1550019
Author(s):  
M. Ikram ◽  
S. K. Singh ◽  
S. K. Biswal ◽  
S. K. Patra
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Energy Levels ◽  
Mean Field Theory ◽  
Mean Field ◽  
Particle Energy ◽  
Spin Orbit ◽  
Single Particle Energy ◽  
Relativistic Mean Field ◽  
Meson Coupling

We analyze the effects of δ–meson on hypernuclei within the framework of relativistic mean field theory. The δ–meson is included into the Lagrangian for hypernuclei. The extra nucleon–meson coupling (gδ) affects every piece of physical observables, like binding energy, radii and single-particle energies of hypernuclei. Magnitude of effects in hypernuclei is found to be relatively less than their normal nuclei because of the presence of Λ hyperon. Flipping of single-particle energy levels are observed with the strength of gδ in the considered hypernuclei as well as normal nuclei. The spin-orbit potentials are observed for considered hypernuclei and the effect of gδ on spin-orbit potentials is also analyzed. The calculated Λ binding energy (BΛ) are quite agreeable with experimental data. The sensitivity of BΛ for s- and p- orbitals with the strength of gδ is also analyzed. Lambda mean potential is investigated which is found to be consistent with other predictions.

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

Shell-Tunneling Spectroscopy of the Single-Particle Energy Levels of Insulating Quantum Dots

Nano Letters ◽  
2001 ◽  
Vol 1 (10) ◽  
pp. 551-556 ◽  
Author(s):  
E. P. A. M. Bakkers ◽  
Z. Hens ◽  
A. Zunger ◽  
A. Franceschetti ◽  
L. P. Kouwenhoven ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Single Particle ◽  
Energy Levels ◽  
Tunneling Spectroscopy ◽  
Particle Energy ◽  
Single Particle Energy

GIANT RESONANCES AND ASYMMETRY ENERGY

2006 ◽  
Vol 15 (07) ◽  
pp. 1347-1356
Author(s):  
ZHONG-YU MA ◽  
BAO-QIU CHEN ◽  
JUN LIANG ◽  
LI-GANG CAO
Keyword(s):  
Mean Field Theory ◽  
Random Phase ◽  
Mean Field ◽  
Microscopic Analysis ◽  
Giant Resonances ◽  
Relativistic Mean Field ◽  
Nuclear Ground State ◽  
Relativistic Approach ◽  
Asymmetry Energy ◽  
The Asymmetry

A microscopic analysis of the asymmetry energy is performed through the investigation of nuclear giant resonances in the relativistic approach. Nuclear ground state properties are calculated in an extended relativistic mean-field theory plus BCS method, where the contribution of the resonant continuum to pairing correlations is properly treated. The nuclear giant resonances are investigated in the relativistic random phase approximation (RRPA) or quasi-particle RRPA. Special emphases are paid to the correlation between the giant dipole resonance or pygmy resonance and the density dependence of the asymmetry energy.

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