scholarly journals Application of single particle model to determine the spin and parity of levels of 59Fe nucleus

2015 ◽  
Vol 18 (1) ◽  
pp. 92-101
Author(s):  
Son An Nguyen ◽  
Lanh Dang
Keyword(s):  
Experimental Data ◽  
Excited State ◽  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle Model ◽  
Nuclear Shell Model ◽  
Average Mass ◽  
Single Particle Model ◽  
Nuclear Shell

The spin and parity of the excited state and the ground state of nuclei are two of important properties of the nuclei quantum. However, up to now we do not have appropriate equipments to directly detetmine the spin and parity of nuclei. This paper shows the application of nuclear shell model to study the spin and parity of intermediate levels and ground state of 59Fe nucleus. Comparing to previously experimental data, this nucleus singleparticle model is suitable of the average mass and odd A nuclei.

scholarly journals SHELL MODEL DESCRIPTION OF 102–108Sn ISOTOPES

2012 ◽  
Vol 21 (04) ◽  
pp. 1250049
Author(s):  
T. TRIVEDI ◽  
P. C. SRIVASTAVA ◽  
D. NEGI ◽  
I. MEHROTRA
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
State Of The Art ◽  
Model Space ◽  
Model Description ◽  
Nuclear Shell Model ◽  
Model Calculations ◽  
Particle Orbits ◽  
Recent Experimental Work ◽  
Nuclear Shell

We have performed shell model calculations for neutron deficient even 102-108 Sn and odd 103-107 Sn isotopes in sdg7/2h11/2 model space using two different interactions. The first set of interaction is due to Brown et al. and second is due to Hoska et al. The calculations have been performed using doubly magic 100 Sn as core and valence neutrons are distributed over the single particle orbits 1g7/2, 2d5/2, 2d3/2, 3s1/2 and 1h11/2. In more recent experimental work for 101 Sn [I. G. Darby et al., Phys. Rev. Lett.105 (2010) 162502], the g.s. is predicted as 5/2+ with excited 7/2+ at 172 keV. We have also performed another two set of calculations by taking difference in single particle energies of 2d5/2 and 1g7/2 orbitals by 172 keV. The present state-of-the-art shell model calculations predict fair agreement with the experimental data. These calculations serve as a test of nuclear shell model in the region far from stability for unstable Sn isotopes near the doubly magic 100 Sn core.

scholarly journals Ground state energy fluctuations in the nuclear shell model

2005 ◽  
Vol 613 (3-4) ◽  
pp. 134-139 ◽  
Author(s):  
Víctor Velázquez ◽  
Jorge G. Hirsch ◽  
Alejandro Frank ◽  
José Barea ◽  
Andrés P. Zuker
Keyword(s):  
Shell Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Nuclear Shell Model ◽  
Nuclear Shell

scholarly journals Single particle energies and nuclear g factors

2017 ◽  
Vol 26 (09) ◽  
pp. 1750053 ◽  
Author(s):  
Shadow Robinson ◽  
Larry Zamick
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle State ◽  
Complex Interplay ◽  
Model Calculations ◽  
Effective Interactions ◽  
State Splitting ◽  
State Affect ◽  
Nuclear Shell

Adding one neutron to doubly magic [Formula: see text]Sn, we can associate the low lying states in[Formula: see text]Sn with single particle states. Thus, the [Formula: see text] and [Formula: see text] states are identified as the [Formula: see text] and [Formula: see text] single particle states, respectively. In [Formula: see text]Sn, these two low lying states are separated by an energy of 0.172[Formula: see text]MeV. Currently, there is a dispute as to the ordering of these states. We examine how the two scenarios, selecting [Formula: see text] as the ground state or [Formula: see text] as the ground state, affect spectra and nuclear [Formula: see text] factors of higher mass Sn isotopes in a variety of shell model situations. Significantly, this includes examining the complex interplay of the choice of single particle state splitting, effective interactions, and effective [Formula: see text]-factors in nuclear shell model calculations. Of particular importance is how the trends in the calculated results for [Formula: see text] factors diverge from recent experimental measurements for the higher mass isotopes of Sn.

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 

ENERGY LEVELS IN LEAD AND BISMUTH AND NUCLEAR SHELL STRUCTURE

1953 ◽  
Vol 31 (2) ◽  
pp. 278-294 ◽  
Author(s):  
John A. Harvey
Keyword(s):  
Angular Momentum ◽  
Single Particle ◽  
Energy Levels ◽  
Striking Similarity ◽  
Particle Model ◽  
Radiative Transitions ◽  
Single Particle Model ◽  
Nuclear Shell ◽  
Closed Shells ◽  
Strong Spin

A bismuth target and lead targets enriched in Pb206, Pb207, and Pb208 have been. bombarded with 14-Mev. deuterons from the M.I.T. cyclotron. Proton and triton spectra were measured with aluminum absorbers and a triple proportional counter. The spectra have been carefully analyzed and resolved into a relatively small number of groups. The proton spectra from all four targets are very similar, except for the long range state groups from the Pb206 and Pb207 targets. A striking similarity also occurs among the triton spectra from the four targets. The simplicity in the spectra probably arises because we are dealing with residual nuclei with closed or nearly closed shells of 82 protons and 126 neutrons. The fact that a (d, p) reaction proceeds mainly by means of a stripping process, in which only the neutron enters the nucleus, suggests the possibility that the similarities can be explained by a single particle model of the nucleus. Moreover, the (d, t) reaction is principally a pickup process and thus the single-particle model is suggested again. Observed energy levels are compared with the known levels measured from radiative transitions. Aided by the angular momentum and parity assignments of some of these known levels, tentative assignments of angular momentum and parity are made to many of the new levels from a strong spin-orbit coupling shell model.

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
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