Shell-Model Calculations for 28Si

1972 ◽  
Vol 50 (1) ◽  
pp. 19-22 ◽  
Author(s):  
R. H. Behrman
Keyword(s):  
Harmonic Oscillator ◽  
Spherical Shell ◽  
Shell Model ◽  
Model Calculation ◽  
Shell Model Calculation ◽  
Β Decay ◽  
Model Calculations ◽  
Decay Data ◽  
Good Account ◽  
Oscillator Shell

A spherical-shell-model calculation is performed for 28Si where up to 3p–3h excitations in the 2s–1d major harmonic-oscillator shell have been included. A good account is given of the observed electromagnetic and β-decay data, although only fair agreement between the shell model and experimental spectra is obtained.

scholarly journals States of 5He and 5Li

1985 ◽  
Vol 38 (4) ◽  
pp. 563 ◽  
Author(s):  
FC Barker ◽  
CL Woods
Keyword(s):  
Shell Model ◽  
Model Calculation ◽  
Phase Shifts ◽  
Shell Model Calculation ◽  
Experimental Results ◽  
Light Nuclei ◽  
Model Interaction ◽  
Model Calculations ◽  
Channel Radius ◽  
Apparent Conflict

A recent shell model calculation has predicted a low-lying! + level in 5He, in apparent conflict with experimental results. We have confirmed the prediction with an alternative shell model interaction chosen specifically to fit properties of light nuclei. The level is expected to be very broad so that it would not be easily seen in reactions. It should contribute significantly to n-a phase shifts, but did not appear in previous analyses because of the small value of about 3 fm chosen for the channel radius a. A ! + level at the expected energy of about 7 MeV is obtained for a ::::: 5�1 fm. Broad ~ + and ~ + levels are then found at about 14 MeV in agreement with the shell model calculations. Properties of the low-lying ~ - and! - levels in 5He and 5Li are discussed, but the measured values now available do not favour a particular value of the channel radius.

THE RESPONSE FUNCTION OF THE 4He, 16O AND 40Ca NUCLEI IN THE HARMONIC OSCILLATOR SHELL MODEL AND THE IMPULSE APPROXIMATIONS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350011
Author(s):  
M. MODARRES ◽  
Y. YOUNESIZADEH
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Momentum Distribution ◽  
Impulse Approximation ◽  
Distribution Functions ◽  
Heavy Nuclei ◽  
Momentum Distribution Function ◽  
Oscillator Shell ◽  
Nucleus Scattering ◽  
The One

In this work, the response functions (RFs) of the 4 He , 16 O and 40 Ca nuclei are calculated in the harmonic oscillator shell model (HOSM) and the impulse approximation (IA). First, the one-body momentum distribution and the one-body spectral functions for these nuclei are written in the HOSM configuration. Then, their RFs are calculated, in the two frameworks, namely the spectral and the momentum distribution functions, within the IA. Unlike our previous work, no further assumption is made to reduce the analytical complications. For each nucleus, it is shown that the (RF) evaluated using the corresponding spectral function has a sizable shift, with respect to the one calculated in terms of the momentum distribution function. It is concluded that for the heavier nuclei, this shift increases and reaches nearly to a constant value (approximately 62 MeV), i.e., similar to that of nuclear matter. It is discussed that in the nuclei with the few nucleons, the above shift can approximately be ignored. This result reduces the theoretical complication for the explanation of the ongoing deep inelastic scattering (DIS) experiments of 3 H or 3 H nucleus target in the Jefferson Laboratory. On the other hand, it is observed that in the heavier nuclei, the RF heights (width) decrease (increase), i.e., the comparison between the theoretical and the experimental electron nucleus scattering cross-section is more sensible for heavy nuclei rather than the light ones.

Exact Shell-Model Calculation ofNi58andNi60

1967 ◽  
Vol 161 (4) ◽  
pp. 1125-1131 ◽  
Author(s):  
Y. K. Gambhir ◽  
Ram Raj
Keyword(s):  
Shell Model ◽  
Model Calculation ◽  
Shell Model Calculation

Shell-model calculation of transition probabilities between A = 31 even-parity states

1969 ◽  
Vol 28 (10) ◽  
pp. 645-647 ◽  
Author(s):  
P.W.M. Glaudemans ◽  
A.E.L. Dieperink ◽  
R.J. Keddy ◽  
P.M. Endt
Keyword(s):  
Shell Model ◽  
Model Calculation ◽  
Transition Probabilities ◽  
Shell Model Calculation

scholarly journals Shell-model calculations for upper pf-shell nuclei with an effective interaction

2018 ◽  
Vol 194 ◽  
pp. 01006
Author(s):  
Kalin Drumev
Keyword(s):  
Shell Model ◽  
Effective Interaction ◽  
Model Space ◽  
Model Calculations ◽  
Energy Eigenstates ◽  
Mixed Symmetry ◽  
Symmetry Approach ◽  
Oscillator Shell ◽  
Single Oscillator ◽  
Pf Shell

Results obtained for the energy spectra and the low-lying positive-parity energy eigenstates of the upper p f -shell nuclei 64Ge and 68Se with the use of the effective interaction JUN45 are reported. We address the question of how appropriate is the possibility to construct a symmetry-adapted shell model in a single oscillator shell using a Pairing-plus-Quadrupole Hamiltonian. Specifically, we study the goodness of the symmetries pseudo SU(3) and O(6) in the structure of the energy eigenstates. Finally, we relate our results to a proposed mixed-symmetry approach which is able to simultaneously account for the presence of both the pairing and the quadrupole modes as the most important ingredients in the effective interaction while using a restricted part of the full model space.

Shell-model calculation of the 49Sc spectrum

1966 ◽  
Vol 23 (6) ◽  
pp. 342-344 ◽  
Author(s):  
G.F. Bertsch ◽  
J. Damgaard
Keyword(s):  
Shell Model ◽  
Model Calculation ◽  
Shell Model Calculation
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