scholarly journals Shell Model calculations of nuclear structure in ʺIsland of inversionʺ N=20 region: 32-36Mg isotopes

2021 ◽  
Vol 67 (5 Sep-Oct) ◽  
Author(s):  
Firas Abed Ahmed
Keyword(s):  
Shell Model ◽  
Nuclear Structure ◽  
Transition Probabilities ◽  
Model Calculations ◽  
Island Of Inversion

The intruder configurations (1p-1h), (2p-2h) and (3p-3h) were studied in this work for the island of inversion within the SDPF-U Hamiltonian. The effect of the proton locations on the structure (energies and transition probabilities) for even-even and even-odd magnesium (N=20-24) isotopes is studied.

scholarly journals Nuclear structure study of [22,24]Ne and [24]Mg nuclei

2019 ◽  
Vol 65 (2) ◽  
pp. 159
Author(s):  
Fouad A. Majeed ◽  
And Sarah M. Obaid
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Nuclear Structure ◽  
Transition Probabilities ◽  
Form Factors ◽  
Model Space ◽  
High Energy ◽  
Core Polarization ◽  
Model Calculations ◽  
The Core

Shell model calculations based on large basis has been conducted to study the nuclear structure of $^{20}Ne$, $^{22}Ne$ and $^{24}Mg$ nuclei. The energy levels, inelastic electron scattering form factors and transition probabilities are discussed by considering the contribution of  configurations with high-energy beyond the model space of sd-shell model space which is denoted as the core polarization (CP) effects.~The Core polarization is considered by taking the excitations of nucleus from the $1s$ and $1p$ core orbits and also from the valence $2s$ $1d$ shell orbit in to higher shells with $4\hbar\omega$. The effective interactions $USDA$ and $USDB$ are employed with $sd$ shell model space to perform the calculation and the core polarization are calculated with $MSDI$ as residual interaction.~The calculated energy level schemes,  form factors and transition probabilities were compared with the corresponding experimental data. The effect of core polarization is found very important for the calculation of $B(C2)$, $B(C4)$ and form factors, and gives excellent results in comparison with the experimental data without including any adjustable parameters.

scholarly journals Large Scale Shell Model Calculations of the Negative-Parity States Structure in 24Mg Nucleus

2021 ◽  
Vol 66 (4) ◽  
pp. 293
Author(s):  
A.A. Al-Sammarraie ◽  
F.A. Ahmed ◽  
A.A. Okhunov
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Transition Probabilities ◽  
Transition Probability ◽  
Energy Levels ◽  
Form Factors ◽  
Model Space ◽  
Negative Parity ◽  
Matrix Elements ◽  
Model Calculations

The negative-parity states of 24Mg nucleus are investigated within the shell model. We are based on the calculations of energy levels, total squared form factors, and transition probability using the p-sd-pf (PSDPF) Hamiltonian in a large model space (0 + 1) hW. The comparison between the experimental and theoretical states showed a good agreement within a truncated model space. The PSDPF-based calculations successfully reproduced the data on the total squared form factors and transition probabilities of the negative-parity states in 24Mg nucleus. These quantities depend on the one-body density matrix elements that are obtained from the PSDPF Hamiltonian. The wave functions of radial one-particle matrix elements calculated with the harmonic-oscillator potential are suitable to predict experimental data by changing the center-of-mass corrections.

scholarly journals Nuclear structure of Ge76 from inelastic neutron scattering measurements and shell model calculations

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
S. Mukhopadhyay ◽  
B. P. Crider ◽  
B. A. Brown ◽  
S. F. Ashley ◽  
A. Chakraborty ◽  
...  
Keyword(s):  
Neutron Scattering ◽  
Shell Model ◽  
Nuclear Structure ◽  
Inelastic Neutron Scattering ◽  
Inelastic Neutron ◽  
Model Calculations ◽  
Scattering Measurements

Band structure of odd-mass lanthanum nuclei

2014 ◽  
Vol 23 (04) ◽  
pp. 1450020
Author(s):  
Deepti Sharma ◽  
Preeti Verma ◽  
Suram Singh ◽  
Arun Bharti ◽  
S. K. Khosa
Keyword(s):  
Band Structure ◽  
Shell Model ◽  
Nuclear Structure ◽  
Transition Probabilities ◽  
Theoretical Data ◽  
Negative Parity ◽  
Projected Shell Model ◽  
Experimental Feature ◽  
Reduced Transition Probabilities ◽  
Structure Properties

Negative parity energy states in 121–131 La have been studied using Projected Shell Model (PSM). Some nuclear structure properties like yrast spectra, back-bending in moment of inertia, reduced transition probabilities and band diagrams have been described. The experimental feature of the co-existence of prolate–oblate shapes in 125–131 La isotopes has been satisfactorily explained by PSM results. Comparison of the theoretical data with their experimental counterparts has also been made. From the calculations, it is found that the yrast states arise because of multi-quasiparticle states.

scholarly journals Shell Model Calculations for 18,19,20O Isotopes by Using USDA and USDB Interactions

2018 ◽  
Vol 63 (3) ◽  
pp. 189 ◽  
Author(s):  
A. K. Hasan
Keyword(s):  
Shell Model ◽  
Empirical Data ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Model Space ◽  
Magic Nucleus ◽  
Model Calculations ◽  
O Isotopes ◽  
Good Agreement

The shell model (SM) is used to calculate the energy levels and transition probabilities B(E2) for 18,19,20 O isotopes. Two interactions (USDA and USDB) are used in the SDPN model space. We assume that all possible many-nucleon configurations are defined by the 0d5/2, 1s1/2, and d3/2 states that are higher than in 16 O doubly magic nucleus. The available empirical data are in a good agreement with theoretical energy levels predictions. Spins and parities were affirmed for new levels, and the transition probabilities B(E2; ↓) are predicted.

Study of odd mass 115−125Sb isotopes with the projected shell model calculations

2017 ◽  
Vol 26 (06) ◽  
pp. 1750041 ◽  
Author(s):  
Dhanvir Singh ◽  
Arun Bharti ◽  
Amit Kumar ◽  
Suram Singh ◽  
G. H. Bhat ◽  
...  
Keyword(s):  
Shell Model ◽  
Transition Probabilities ◽  
Negative Parity ◽  
Yrast Band ◽  
Spin States ◽  
Projected Shell Model ◽  
Model Calculations ◽  
High Spin States ◽  
Reduced Transition Probabilities ◽  
First Time

The projected shell model (PSM) with the deformed single-particle states, generated by the standard Nilsson potential, is applied to study the negative-parity high spin states of [Formula: see text] nuclei. The nuclear structure quantities like band structure and back-bending in moment of inertia have been calculated with PSM method and are compared with the available experimental data. In addition, the reduced transition probabilities, i.e., B[Formula: see text] and B[Formula: see text], are also obtained for the yrast band of these isotopes for the first time by using PSM wave function. A multi-quasiparticle structure has been predicted for [Formula: see text] isotopes by the present PSM calculations.

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