Spin Orbit Coupling in the Nuclear Shell Model

1950 ◽  
Vol 63 (11) ◽  
pp. 1219-1222 ◽  
Author(s):  
J Hughes ◽  
K J Le Couteur
Keyword(s):  
Shell Model ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Nuclear Shell

Skyrmions, Tetrahedra and Magic Numbers

2020 ◽  
Author(s):  
Nicholas S Manton
Keyword(s):  
Shell Model ◽  
Baryon Number ◽  
Orbit Coupling ◽  
Magic Numbers ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Strong Binding ◽  
Nuclear Shell ◽  
Strong Spin

Abstract Michael Atiyah’s interest in Skyrmions and their relationship to monopoles and instantons is recalled. Some approximate models of Skyrmions with large baryon numbers are then considered. Skyrmions having particularly strong binding are clusters of unit baryon number Skyrmions arranged as truncated tetrahedra. Their baryon numbers, $B = 4 \,, 16 \,, 40 \,, 80 \,, 140 \,, 224$, are the tetrahedral numbers multiplied by four, agreeing with the magic proton and neutron numbers $2 \,, 8 \,, 20 \,, 40 \,, 70 \,, 112$ occurring in the nuclear shell model in the absence of strong spin-orbit coupling.

Shell model approach to collectivity in pseudo spin-orbit coupling

1987 ◽  
Vol 197 (4) ◽  
pp. 484-488 ◽  
Author(s):  
X. Ji ◽  
M. Vallieres ◽  
P. Halse
Keyword(s):  
Shell Model ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Model Approach

Spin-Orbit Splittings in Nuclear Shell Model

1962 ◽  
Vol 127 (5) ◽  
pp. 1678-1680 ◽  
Author(s):  
B. L. Cohen ◽  
P. Mukherjee ◽  
R. H. Fulmer ◽  
A. L. McCarthy
Keyword(s):  
Shell Model ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Nuclear Shell

scholarly journals A mechanism for shape coexistence

2021 ◽  
Vol 252 ◽  
pp. 02005
Author(s):  
Andriana Martinou
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Magic Numbers ◽  
Shape Coexistence ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Different Types ◽  
Theoretical Predictions ◽  
Different Shapes ◽  
Nuclear Shell

The phenomenon of shape coexistence in a nucleus is about the occurence of two different nuclear states with drastically different shapes, lying close in energy. It is commonly seen in the data, that such coexisting states manifest in specific nuclei, which lie within certain islands on the nuclear chart, the islands of shape coexistence. A recently introduced mechanism predicts that these islands derive from the coexistence of two different types of magic numbers: the harmonic oscillator and the spin-orbit like. The algebraic realization of the nuclear Shell Model, the Elliott SU(3) symmetry, along with its extension, the proxy-SU(3) symmetry , are used for the parameter-free theoretical predictions of the islands of shape coexistence

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