scholarly journals Ground State Properties and Shape Transition of Even-Even 76Os, 78Pt, 80Hg and 82Pb Isotopes in the Framework of Skyrme Hartree-Fock-Bogoliubov Theory

2021 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Ali Taqi ◽  
Pshkow Mahmood
Keyword(s):  
Ground State ◽  
Shape Transition ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Ground State Properties

scholarly journals A systematic study of the ground state properties of W, Os and Pt isotopes using HFB theory

2019 ◽  
Vol 28 (10) ◽  
pp. 1950093
Author(s):  
Nithu Ashok ◽  
Antony Joseph
Keyword(s):  
Harmonic Oscillator ◽  
Systematic Study ◽  
Ground State ◽  
Energy Charge ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Ground State Properties ◽  
Experimental Values

A systematic study of the ground state properties of transitional nuclei W, Os and Pt is conducted with the help of Skyrme–Hartree–Fock–Bogoliubov theory. Different Skyrme interactions are employed in the study. Two different bases, harmonic oscillator and transformed harmonic oscillator, are used in our investigation. 2[Formula: see text]-separation energy, charge radii, neutron and proton rms radii, neutron skin thickness and deformation parameter have been estimated. The results obtained are in good agreement with the available experimental values.

AN INVESTIGATION ON SHAPE EVOLUTION OF Ti ISOTOPES WITH HARTREE–FOCK–BOGOLIUBOV THEORY

2012 ◽  
Vol 27 (28) ◽  
pp. 1250162 ◽  
Author(s):  
TUNCAY BAYRAM
Keyword(s):  
Potential Energy ◽  
Single Particle ◽  
Potential Energy Curves ◽  
Shape Evolution ◽  
Shape Transition ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Unstable Nuclei

Constrained Hartree–Fock–Bogoliubov theory with SLy4 and SLy5 Skyrme forces is used to investigate the shape transition between spherical and γ-unstable nuclei in 38–66 Ti . By examining potential energy curves and neutron single-particle levels of even–even Ti isotopes, 46,52,60 Ti are suggested as possible candidates of the nuclei with E(5) symmetry.

scholarly journals Ground state properties of graphene in Hartree-Fock theory

2012 ◽  
Vol 53 (9) ◽  
pp. 095220 ◽  
Author(s):  
Christian Hainzl ◽  
Mathieu Lewin ◽  
Christof Sparber
Keyword(s):  
Ground State ◽  
Hartree Fock ◽  
Ground State Properties

FISSION HALF LIVES OF FERMIUM ISOTOPES WITHIN SKYRME HARTREE-FOCK-BOGOLIUBOV THEORY

2011 ◽  
Vol 20 (02) ◽  
pp. 557-564 ◽  
Author(s):  
A. BARAN ◽  
A. STASZCZAK ◽  
W. NAZAREWICZ
Keyword(s):  
Ground State ◽  
Spontaneous Fission ◽  
Zero Point ◽  
Nuclear Fission ◽  
Point Energy ◽  
Generator Coordinate Method ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Generator Coordinate ◽  
Fission Barriers

Nuclear fission barriers, mass parameters and spontaneous fission half lives of fermium isotopes calculated in a framework of the Skyrme Hartree-Fock-Bogoliubov model with the SkM* force are discussed. Zero-point energy corrections in the ground state are determined for each nucleus using the Gaussian overlap approximation of the generator coordinate method and in the cranking formalism. Results of spontaneous fission half lives are compared to experimental data.

EFFECTS OF CORE POLARIZATION AND PAIRING CORRELATIONS ON SOME GROUND-STATE PROPERTIES OF DEFORMED ODD-MASS NUCLEI WITHIN THE HIGHER TAMM–DANCOFF APPROACH

2011 ◽  
Vol 20 (02) ◽  
pp. 252-258 ◽  
Author(s):  
LUDOVIC BONNEAU ◽  
JULIEN LE BLOAS ◽  
PHILIPPE QUENTIN ◽  
NIKOLAY MINKOV
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Energy Difference ◽  
Pair Type ◽  
Many Body ◽  
Hartree Fock ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
The Many ◽  
The Impact

In self-consistent mean-field approaches, the description of odd-mass nuclei requires to break the time-reversal invariance of the underlying one-body hamiltonian. This induces a polarization of the even-even core to which the odd nucleon is added. To properly describe the pairing correlations (in T = 1 and T = 0 channels) in such nuclei, we implement the particle-number conserving Higher Tamm–Dancoff approximation with a residual δ interaction in each isospin channel by restricting the many-body basis to two-particle–two–hole excitations of pair type (nn, pp and np) on top of the Hartree–Fock solution. We apply this approach to the calculation of two ground-state properties of well-deformed nuclei |Tz| = 1 nuclei around 24 Mg and 48 Cr , namely the isovector odd-even binding-energy difference and the magnetic dipole moment, focusing on the impact of pairing correlations.

scholarly journals Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei

2006 ◽  
Vol 57 (2) ◽  
pp. 470-563 ◽  
Author(s):  
J. Meng ◽  
H. Toki ◽  
S.G. Zhou ◽  
S.Q. Zhang ◽  
W.H. Long ◽  
...  
Keyword(s):  
Ground State ◽  
Exotic Nuclei ◽  
Bogoliubov Theory ◽  
Ground State Properties
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