Hartree–Fock and Shell-Model Studies of 56Ni

1973 ◽  
Vol 51 (7) ◽  
pp. 737-742 ◽  
Author(s):  
G. Do Dang ◽  
J. A. Rabbat
Keyword(s):  
Shell Model ◽  
Excited States ◽  
Single Particle ◽  
Critical Discussion ◽  
Hartree Fock ◽  
Model Studies

The structure of the low-lying states of 56Ni is studied in the frameworks of the Hartree–Fock theory and the shell model. Attention is focused on the choice of the single particle energies and the effect of highly excited states. It is found that the low-lying states can reasonably be described by the shell model with 1p–1h and 2p–2h excitations from the 1f7/2 level. A critical discussion of the contradictory results of previous works is made and their connection with the present work is pointed out.

EXCITED STATES OF 16O IN THE HARTREE–FOCK (H F) APPROXIMATION

1967 ◽  
Vol 45 (2) ◽  
pp. 333-337 ◽  
Author(s):  
R. Muthukrishnan
Keyword(s):  
Excited States ◽  
Single Particle ◽  
Hole State ◽  
Nucleon Interaction ◽  
Hartree Fock

The intrinsic 4-particle – 4-hole state of 16O is calculated in the Hartree–Fock approximation. The energy and single-particle levels are compared with previous calculations and some observations regarding the two-nucleon interaction are made.

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

scholarly journals Investigation of E1 Strength in Coulomb Excitation of Light Nuclei

1989 ◽  
Vol 42 (3) ◽  
pp. 233 ◽  
Author(s):  
FC Barke ◽  
CL Woods
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Excited States ◽  
Single Particle ◽  
Coulomb Excitation ◽  
Light Nuclei ◽  
Additional Increase ◽  
Intermediate States ◽  
Experimental Values

Contributions to the predominantly E2 Coulomb excitation of the first excited states of 6U, 7U, lOB, 11 B, 12C and 170 due to virtual E1 transitions through intermediate states are calculated using for all states shell model wavefunctions of the lowest admissible configurations, obtained with a realistic Hamiltonian. When harmonic oscillator single-particle wavefunctions are used, the contributions can be calculated rigorously but are generally less than the experimental values. Increases due to use of Woods-Saxon wavefunctions are estimated in a semi-quantitative way. For 170, the additional increase due to admixtures from higher configurations in the wavefunctions is also considered.

scholarly journals DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF 84Sr

2011 ◽  
Vol 20 (08) ◽  
pp. 1723-1733 ◽  
Author(s):  
R. SAHU ◽  
V. K. B. KOTA
Keyword(s):  
Shell Model ◽  
Beta Decay ◽  
Single Particle ◽  
Double Beta Decay ◽  
Orbital Energy ◽  
Decay Modes ◽  
Fock States ◽  
Hartree Fock ◽  
Model Based ◽  
Reasonable Description

Half-lives [Formula: see text] for two-neutrino positron double beta decay modes β+ EC/ECEC are calculated for 84 Sr , a nucleus of current experimental interest, within the framework of the deformed shell model based on Hartree–Fock states employing a modified Kuo interaction in (2p3/2, 1f5/2, 2p1/2, 1g9/2) space. For a reasonable description of the spectra of 84 Sr and 84 Kr and to generate allowed GT strengths, the single particle energies of the proton and neutron 1g9/2 orbitals, relative to the 2p3/2 orbital energy, are chosen to be 3.5 MeV and 1.5 MeV for both 84 Sr and 84 Rb and 1.5 MeV and 1.5 MeV for 84 Kr . With this, the calculated half-lives for the β+ EC and ECEC modes are ~1026 yr and ~4×1024 yr respectively.

scholarly journals Electromagnetic multipole of positive and negative parity states in 24Mg by elastic and inelastic electron scattering

2019 ◽  
Vol 17 (42) ◽  
pp. 27-41
Author(s):  
NOORI S. Manie
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Transition Probabilities ◽  
Form Factors ◽  
Negative Parity ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Inelastic Electron Scattering

In the present work, the nuclear shell model with Hartree–Fock (HF) calculations have been used to investigate the nuclear structure of 24Mg nucleus. Particularly, elastic and inelastic electron scattering form factors and transition probabilities have been calculated for low-lying positive and negative states. The sd and sdpf shell model spaces have been used to calculate the one-body density matrix elements (OBDM) for positive and negative parity states respectively. Skyrme-Hartree-Fock (SHF) with different parameterizations has been tested with shell model calculation as a single particle potential for reproducing the experimental data along with a harmonic oscillator (HO) and Woods-Saxon (WS) single-particle potentials. The effect of the nuclear effective charge has been implemented via using different folding models; valance, Tassie and Bohr-Mottelson. The evaluated results have been discussed and compared with available experimental data.

scholarly journals Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part I. Single-particle states

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jiaju Zhang ◽  
M.A. Rajabpour
Keyword(s):  
Excited States ◽  
Single Particle ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Large Momentum ◽  
Particle State ◽  
Two Dimensional ◽  
Universal Form ◽  
Conformal Field ◽  
Harmonic Chain

Abstract We investigate the Rényi entropy of the excited states produced by the current and its derivatives in the two-dimensional free massless non-compact bosonic theory, which is a two-dimensional conformal field theory. We also study the subsystem Schatten distance between these states. The two-dimensional free massless non-compact bosonic theory is the continuum limit of the finite periodic gapless harmonic chains with the local interactions. We identify the excited states produced by current and its derivatives in the massless bosonic theory as the single-particle excited states in the gapless harmonic chain. We calculate analytically the second Rényi entropy and the second Schatten distance in the massless bosonic theory. We then use the wave functions of the excited states and calculate the second Rényi entropy and the second Schatten distance in the gapless limit of the harmonic chain, which match perfectly with the analytical results in the massless bosonic theory. We verify that in the large momentum limit the single-particle state Rényi entropy takes a universal form. We also show that in the limit of large momenta and large momentum difference the subsystem Schatten distance takes a universal form but it is replaced by a new corrected form when the momentum difference is small. Finally we also comment on the mutual Rényi entropy of two disjoint intervals in the excited states of the two-dimensional free non-compact bosonic theory.

Ab initioand shell model studies of structural, thermoelastic and vibrational properties of SnO2under pressure

2013 ◽  
Vol 25 (13) ◽  
pp. 135404 ◽  
Author(s):  
R A Casali ◽  
J Lasave ◽  
M A Caravaca ◽  
S Koval ◽  
C A Ponce ◽  
...  
Keyword(s):  
Shell Model ◽  
Vibrational Properties ◽  
Model Studies

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.

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