The single particle potential in mean-field theory

2002 ◽  
Vol 70 (4) ◽  
pp. 433-437 ◽  
Author(s):  
Peter Palffy-Muhoray
Keyword(s):  
Field Theory ◽  
Single Particle ◽  
Mean Field Theory ◽  
Mean Field ◽  
Particle Potential ◽  
Single Particle Potential

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.

THE RELATIVISTIC MEAN FIELD THEORY AND LOW ENERGY QUADRUPOLE COLLECTIVE EXCITATIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 217-224 ◽  
Author(s):  
L. PRÓCHNIAK ◽  
P. RING
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Single Particle ◽  
Mean Field Theory ◽  
Mean Field ◽  
Low Energy ◽  
Collective Excitations ◽  
Relativistic Mean Field ◽  
Calculated Mass ◽  
Theoretical Results

We present an attempt to describe low lying quadrupole collective excitations within the frame of the RMF theory. Single particle wavefunctions obtained from the RMF are used to calculate mass parameters in the cranking approximation of the ATDHFB. The general Bohr hamiltonian with the calculated mass parameters yields collective energies and wavefunctions. Theoretical results are compared with the experimental data in the case of the γ soft 110 Ru and 126 Ba nuclei.

TEMPERATURE DEPENDENCE OF NUCLEAR STRUCTURE IN THE RELATIVISTIC MEAN-FIELD THEORY WITH A NEW PARAMETER SET

2004 ◽  
Vol 13 (06) ◽  
pp. 1147-1155 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
KRZYSZTOF POMORSKI ◽  
JOANNA SYKUT ◽  
JOHAN BARTEL
Keyword(s):  
Field Theory ◽  
Single Particle ◽  
Level Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Level Densities ◽  
Relativistic Mean Field ◽  
Single Particle Level ◽  
Particle Level

A new set of relativistic mean-field theory (RMFT) parameters, NL4, ensuring a better description of the average nuclear energy as given by the new Lublin–Strasbourg mass formula, is used in a self-consistent description of 171 spherical even-even nuclei at temperatures 0≤T≤4 MeV. Single-particle level densities for this sample of nuclei are determined by analyzing the data obtained for various temperatures. The average dependence of the single-particle level density on mass number A and isospin is given and compared with previous estimates obtained using the RMFT-NL3, Thomas–Fermi and semiclassical Skyrme SkM* approaches.

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