scholarly journals Towards a unification of independent particle and collective models

2020 ◽  
Vol 19 ◽  
pp. 140
Author(s):  
G. S. Anagnostatos

A unification of Independent Particle and Collective Models is proposed via the Isomorphic Shell Model. Through this model, based on fundamental properties of fermions, an average shape for each nucleus is derived which simultaneously reproduces independent particle and collective properties. 20Ne is taken as an example.

2018 ◽  
Vol 178 ◽  
pp. 02015
Author(s):  
Chong Qi

In this contribution I present systematic calculations on the spectroscopy and electromagnetic transition properties of intermediate-mass and heavy nuclei around 100Sn and 208Pb. We employed the large-scale configuration interaction shell model approach with realistic interactions. Those nuclei are the longest isotopic chains that can be studied by the nuclear shell model. I will show that the yrast spectra of Te isotopes show a vibrational-like equally spaced pattern but the few known E2 transitions show rotational-like behaviour. These kinds of abnormal collective behaviors cannot be reproduced by standard collective models and provide excellent background to study the competition of single-particle and various collective degrees of freedom. Moreover, the calculated B(E2) values for neutron-deficient and heavier Te isotopes show contrasting different behaviours along the yrast line, which may be related to the enhanced neutron-proton correlation when approaching N=50. The deviations between theory and experiment concerning the energies and E2 transition properties of low-lying 0+ and 2+ excited states and isomeric states in those nuclei may provide a constraint on our understanding of nuclear deformation and intruder configuration in that region.


2001 ◽  
Vol 79 (2) ◽  
pp. 241-292 ◽  
Author(s):  
J.L. FISKER ◽  
V. BARNARD ◽  
J. GÖRRES ◽  
K. LANGANKE ◽  
G. MARTÍNEZ-PINEDO ◽  
...  

2007 ◽  
Vol 334-335 ◽  
pp. 745-748 ◽  
Author(s):  
C. Sun ◽  
Guo Xing Lu ◽  
K. Liu

An elastic double-shell model based on continuum mechanics is presented to study the dynamic torsional buckling of an embedded double-walled carbon nanotube (EDWCNT). Based on the model, a condition is derived to predict the buckling load of the EDWCNT. It is shown that the buckling load of the EDWCNT for dynamic torsional buckling is no less than that for the static torsional buckling. Further, the effect of the van der Waals forces is discussed when an inner nanotube is inserted into an embedded outer one. In particular, the paper shows that, in the absence of the initial van der Waals forces, the buckling load of an EDWCNT is always in-between that of an isolated inner tube and of an embedded outer nanotube, which is different from the result obtained by neglecting the difference of radii. This indicates that disregarding the difference of the radii of the double-walled nanotubes can not properly describe the effect of the van der Waals forces between interlayer spacing.


2017 ◽  
Vol 96 (1) ◽  
Author(s):  
T. Schmidt ◽  
K. L. G. Heyde ◽  
A. Blazhev ◽  
J. Jolie

2001 ◽  
Vol 688 (1-2) ◽  
pp. 453-455 ◽  
Author(s):  
J.L. Fisker ◽  
J. Görres ◽  
K. Langanke ◽  
G. Martı́nez-Pinedo ◽  
M.C. Wiescher
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