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 GDR Contribution to Coulomb Excitation. II. 17O

1982 ◽  
Vol 35 (3) ◽  
pp. 301 ◽  
Author(s):  
FC Barker
Keyword(s):  
Excited State ◽  
Shell Model ◽  
Excited States ◽  
Giant Dipole Resonance ◽  
Coulomb Excitation ◽  
Dipole Resonance ◽  
First Excited State ◽  
Virtual Excitation

The contribution to the Coulomb excitation of the first excited state of 170 due to virtual excitation of the giant dipole resonance (GDR) is calculated, using shell model wavefunctions for the ground and first excited states. A large value is obtained.

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.

Shell-model calculations in the 16O region with the Tabakin potential

1968 ◽  
Vol 46 (18) ◽  
pp. 2091-2106 ◽  
Author(s):  
N. de Takacsy
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Effective Interaction ◽  
Second Order ◽  
Model Calculations ◽  
Relative Coordinates ◽  
Intermediate States

Shell-model calculations are performed with the Tabakin potential for the simplest configurations in 14N, 15O, 16O, 17O, 18O, and 18F. The second-order ladder diagrams are calculated in relative coordinates, using harmonic oscillator intermediate states; all second-order corrections to the effective interaction are included.

Multiharmonic Nuclear Hamiltonian in the Region 120 < A ≤ 140

1998 ◽  
Vol 07 (05) ◽  
pp. 585-591
Author(s):  
J. Giapitzakis ◽  
P. Ginis ◽  
A. N. Antonov ◽  
S. E. Massen ◽  
G. S. Anagnostatos
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Binding Energies ◽  
Charge Radii ◽  
Experimental Values

The isomorphic shell model is successfully applied for all the 30 stable nuclei with 50 < Z ≤ 58 and 70 < N ≤ 82 (i.e., with 120 < A ≤ 140). The model employs a multiharmonic Hamiltonian in contrast to single harmonic-oscillator Hamiltonian of the conventional shell model. Derived binding energies and charge radii are in very good agreements with the corresponding experimental values without using adjustable parameters.

scholarly journals Theoretical Study of Isospin Mixing States with T> 0 in sd Even-Even N=Z Nuclei Using Shell Model

2021 ◽  
Vol 12 (2) ◽  
pp. 2470-2475
Author(s):  
Anwer A. Al-Sammarraie , Et. al.
Keyword(s):  
Shell Model ◽  
Excited States ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Electric Quadrupole Transition ◽  
The Difference ◽  
Experimental Values ◽  
Mixing States ◽  
Good Agreement

Nuclear excited states with T > 0 in sd even-even N=Z  nuclei have been studied by using shell model. The calculations have employed the USDB Hamiltonian in order to predict the energy levels, the reduced electric quadrupole transition probabilities and reduced magnetic dipole transition probabilities. The study also include the average number of nucleons in each sd- active orbitals. The results compared with available experimental data.  The comparison showed a good agreement between theoretical and experimental energy sates for most of the states studied in this work. On the other hand there was a difference between theoretical and experimental values of transition probabilities, but it can be said that it remained within the acceptable range of the difference.

scholarly journals GDR Contribution to Coulomb Excitation. III. 18O

1982 ◽  
Vol 35 (4) ◽  
pp. 377 ◽  
Author(s):  
FC Barker
Keyword(s):  
Shell Model ◽  
Excited States ◽  
Giant Dipole Resonance ◽  
Coulomb Excitation ◽  
Model Calculations ◽  
Dipole Resonance

The discrepancy between the values of B(E2) for the transition between the ground and first excited states in 180 as obtained from Coulomb excitation measurements and from other measurements is here attributed to the giant dipole resonance (GDR) contribution to Coulomb excitation; an estimate based on shell model calculations predicts this contribution to be much larger than previously assumed.

CLUSTERING PHENOMENA AND SHELL EFFECTS IN NUCLEAR STRUCTURE AND REACTIONS

1988 ◽  
Vol 03 (06) ◽  
pp. 1343-1372 ◽  
Author(s):  
W.D.M. RAE
Keyword(s):  
Harmonic Oscillator ◽  
Nuclear Structure ◽  
Single Particle ◽  
Shell Structure ◽  
Light Nuclei ◽  
Oscillator Model ◽  
Shell Effects ◽  
First Approximation ◽  
Harmonic Oscillator Model ◽  
The Relationship

Simple models are used to explore the relationship between cluster-like configurations and highly deformed states which arise as a result of shell effects in deformed single particle potentials for light nuclei. It is found that the systematics of the occurrence of clustering phenomena are closely related to the appearance of shell structure in these potentials. Considerable emphasis is placed on the use of the pure harmonic oscillator model as a first approximation.

scholarly journals GDR Contribution to Coulomb Excitation. I. 1p Shell Nuclei

1982 ◽  
Vol 35 (3) ◽  
pp. 291 ◽  
Author(s):  
FC Barker
Keyword(s):  
Shell Model ◽  
Excited States ◽  
Giant Dipole Resonance ◽  
Coulomb Excitation ◽  
Dipole Resonance ◽  
Virtual Excitation

The contributions to the Coulomb excitation of the first excited states of 6Li, 7Li, lOB and 12C due to virtual excitation of the giant dipole resonance (GDR) are calculated, using shell model wavefunctions for the ground and first excited states. When the radial integrals are renormalized in order to fit the experimental B(E2) values for the transitions between these states, the calculated GDR contributions agree reasonably with the measured values in 6Li, 7Li and lOB.

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.

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