Collective motion in the nuclear shell model IV. Odd-mass nuclei in the sd shell

1968 ◽  
Vol 302 (1471) ◽  
pp. 509-528 ◽  
Keyword(s):  
Shell Model ◽  
Effective Charge ◽  
Collective Motion ◽  
Energy Levels ◽  
Electromagnetic Properties ◽  
Coupling Scheme ◽  
Nuclear Shell Model ◽  
Nuclear Shell ◽  
Shell Energy

The U 3 coupling scheme is used as the basis for a survey of the odd nuclei in the sd shell. Energy levels and electromagnetic properties are compared with experiment. In the first half of the shell, A < 28, there is agreement, but in the second half the data suggest some­thing much closer to jj coupling. The need for an effective charge also disappears beyond A = 28.

Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations

1958 ◽  
Vol 245 (1240) ◽  
pp. 128-145 ◽  
Keyword(s):  
Shell Model ◽  
Collective Motion ◽  
Wave Functions ◽  
Coupling Scheme ◽  
Nuclear Shell Model ◽  
Model Framework ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Classification Schemes ◽  
Nuclear Shell

To understand how collective motion can develop in the shell-model framework it is necessary to study configuration interaction. With this in mind, group-theoretical methods are used to investigate the possible classification schemes for a number of nucleons in m xed configurations. One particular coupling scheme, which is associated with the degeneracy of a harmonic oscillator potential and which, in a following paper, will be shown to have collective properties is described in detail. The wave functions in this scheme are seen to be very similar to those resulting from an actual shell-model calculation with configurational mixing.

Collective motion in the nuclear shell model III. The calculation of spectra

1963 ◽  
Vol 272 (1351) ◽  
pp. 557-577 ◽  
Keyword(s):  
Shell Model ◽  
Collective Motion ◽  
Mass Region ◽  
Wave Functions ◽  
Nuclear Shell Model ◽  
Matrix Elements ◽  
One Dimensional ◽  
The One ◽  
Nuclear Shell ◽  
Main Pattern

A method is derived for calculating matrix elements of a two-body interaction in wave functions which were classified in part I interms of the group U 2- . For simplicity, a Cartesian basis of intrinsic functions is introduced in which the one-dimensional oscillators in x, y and z are separately diagonal. An application to 24 Mg in L-S coupling shows very little mixing of the quantum number K but an appreciable (10 to 20 %) mixing of U 3 representations (λμ). Overall agreement with experiment is quantitatively only tolerable but the main pattern of the spectrum is undoubtedly given by the lowest representation (84). On this basis, suggestions are made concerning the type of spectra to be expected for even and odd parity levels of the even-even nuclei in the mass region 16 < A < 40.

scholarly journals Nuclear energy levels in 58Ni

2019 ◽  
Vol 24 (3) ◽  
pp. 100
Author(s):  
Firas Zuhair Majeed1 ◽  
, Ammar A. Battawy2 ◽  
Muhanned A. Ahmed2
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Energy Levels ◽  
Nuclear Shell Model ◽  
Harmonic Oscillator Potential ◽  
Angular Momenta ◽  
Inert Core ◽  
Modified Surface ◽  
Nuclear Shell ◽  
Surface Delta Interaction

Energy levels, total angular momenta and parity for two nucleons that present outside closed core 56Ni (Nickel) which occupied FP nuclear shell have been calculated using nuclear shell model application. We have used FP M3YE interaction to calculate energy levels of 58Ni, in addition, the results are compared with experimental data, modified surface delta interaction (MSDI), Reid's potential (RP) and non-zero pairing shell model (NZPSM). Harmonic Oscillator potential is used to generate single particle wave functions in FP shell and considering  as an inert core. Oxford Buenos Aires Shell Model (OXBASH) code for nuclear shell model calculation has been utilized to carry out the calculations and comparison with experimental data had been done.   http://dx.doi.org/10.25130/tjps.24.2019.054 

scholarly journals Study of Nuclear Structure for 36Si Isotope by Using Shell Model with Several Interactions

2020 ◽  
Vol 18 ◽  
pp. 58-65
Author(s):  
Ali K. Hasan ◽  
Wafaa Al-mudhafar
Keyword(s):  
Angular Momentum ◽  
Shell Model ◽  
Transition Probability ◽  
Energy Levels ◽  
Model Space ◽  
Nuclear Shell Model ◽  
Process Compatibility ◽  
Nuclear Shell ◽  
Level 2 ◽  
Good Agreement

In this study, the nuclear shell model was applied to calculate the energy levels and reduced electric quadruple transition probability B(E2) for 36Si isotope using the OXBASH code within (1d3/2, 2s1/2, 2p3/2, 1f7/2) model space and using (HASN, ZBM2 and VPTH) interactions, As this isotope contains eight neutrons outside 28Si  core in the region and when comparing the results of this study with the values. Available process compatibility was acceptable. There was good agreement at level 2+1, and angular momentum and parity were confirmed for levels 4+, 6+, and for all interactions, and the value of B(E2) corresponds well with the only practical value available for the transition .

scholarly journals Study of the Electric Quadrupole Transitions in 50-51Mn Isotopes by Using F742pn and F7cdpn Interactions

2021 ◽  
Vol 22 (2) ◽  
pp. 1-5
Author(s):  
Ali Hasan ◽  
Fatema Obeed ◽  
Azahr Rahim
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Nuclear Shell Model ◽  
Radial Wave ◽  
Model Calculations ◽  
Ground Band ◽  
Nuclear Shell

The nuclear shell-model has been used to compute excitation levels of ground band and electric quadrupole transitions for 50-51Mn isotopes in f-shell. In the present study, f742pn and f7cdpn effective interactions have been carried out in full f-shell by using Oxbash Code. The radial wave functions of the single-particle matrix elements have been calculated in terms of the harmonic oscillator (Ho) and Skyrme20 potentials. The predicted theoretical results have been compared with the available experimental data; it has been seen that the predicted results are in agreement with the experimental data. From the current results of the calculations, many predictions of angular momentum and parities of experimental states have been made, and the energy spectra predictions of the ground band and B(E2; ↓) electric quadrupole transitions in 50-51Mn isotopes of the experimental data are not known yet. In the nuclear shell-model calculations framework, energy levels have been determined for 50-51Mn isotopes; new values of electric quadrupole transitions have been predicted in the studied results. This investigation increases the theoretical knowledge of all isotopes with respect to the energy levels and reduced transition probabilities.

Resource Letter NSM-1: New insights into the nuclear shell model

2011 ◽  
Vol 79 (1) ◽  
pp. 5-16 ◽  
Author(s):  
David J. Dean ◽  
Joseph H. Hamilton
Keyword(s):  
Shell Model ◽  
Nuclear Shell Model ◽  
Nuclear Shell

Theory of the Nuclear Shell Model

1982 ◽  
Vol 56 (2) ◽  
pp. 406-406
Author(s):  
D. A. Bromley
Keyword(s):  
Shell Model ◽  
Nuclear Shell Model ◽  
Nuclear Shell
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