scholarly journals Application of information theory in atoms, nuclei and atomic clusters

2019 ◽  
Vol 10 ◽  
pp. 209
Author(s):  
C. P. Panos ◽  
S. E. Massen
Keyword(s):  
Information Theory ◽  
Single Particle ◽  
Functional Form ◽  
Mean Field ◽  
Atomic Clusters ◽  
Fermion System ◽  
Electron Distributions ◽  
Particle Potential ◽  
Single Particle Potential ◽  
Number Of Particles

The position- and momentum-space information entropies of the electron distributions of atomic clusters are calculated using a Woods-Saxon single particle potential. The same entropies are also calculated for nuclear distributions according to the Skyrme parametrization of the nuclear mean field. It turns out that a similar functional form S = α + Μη Ν for the entropy as function of the number of particles Ν holds approximately for atoms, nuclei and atomic clusters. It is conjectured that this is a universal property of a many-fermion system in a mean field.

scholarly journals On a single particle potential for atomic clusters

2020 ◽  
Vol 9 ◽  
pp. 307
Author(s):  
B. A. Kotsos ◽  
Th. E. Liolios ◽  
M. E. Grypeos ◽  
C. G. Koutroulos ◽  
S. E. Massen
Keyword(s):  
Single Particle ◽  
Metal Clusters ◽  
Atomic Clusters ◽  
Energy Eigenvalues ◽  
Valence Electrons ◽  
Analytic Expressions ◽  
Particle Potential ◽  
Single Particle Potential

The single-particle potential V(r) = -Vo[1+(r/K)^β)^-1, which has been proposed in the recent years for atomic (metal) clusters, is studied analytically in the case β = 2. By using perturbation-type techniques, approximate analytic expressions are obtained for the energy eigenvalues and other physically interesting quantities showing the variation of these quantities with the number of valence electrons. The accuracy is tested for Al clusters and is usually very good.

On a single particle potential for atomic clusters

1999 ◽  
Vol 269 (3-4) ◽  
pp. 424-431 ◽  
Author(s):  
B.A Kotsos ◽  
Th.E Liolios ◽  
M.E Grypeos ◽  
C.G Koutroulos ◽  
S.E Massen
Keyword(s):  
Single Particle ◽  
Atomic Clusters ◽  
Particle Potential ◽  
Single Particle Potential

The Deformation Structure of the Nuclei 32S and 36Ar

2017 ◽  
Vol 13 (2) ◽  
pp. 4678-4688
Author(s):  
K. A. Kharroube
Keyword(s):  
Single Particle ◽  
Electric Quadrupole ◽  
Quadrupole Moments ◽  
Moments Of Inertia ◽  
Deformation Structures ◽  
Particle Potential ◽  
Nilsson Model ◽  
Single Particle Potential ◽  
Axes Of Symmetry ◽  
Good Agreement

We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle Schrödinger fluid as functions of the deformation parameter β. In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of β. In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter γ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.

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