Theory of ground state correlations of closed shell nuclei: A density‐matrix formulation

1973 ◽  
Vol 14 (9) ◽  
pp. 1155-1163 ◽  
Author(s):  
Franz Krejs ◽  
Abraham Klein
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Closed Shell ◽  
Matrix Formulation ◽  
Closed Shell Nuclei

Influence of 2p-2h ground state correlations on charge distributions of doubly-closed shell nuclei

1983 ◽  
Vol 28 (4) ◽  
pp. 1791-1797 ◽  
Author(s):  
M. Waroquier ◽  
J. Bloch ◽  
G. Wenes ◽  
K. Heyde
Keyword(s):  
Ground State ◽  
Closed Shell ◽  
Charge Distributions ◽  
Closed Shell Nuclei

scholarly journals Ground state ofN=Zdoubly closed shell nuclei in correlated basis function theory

1998 ◽  
Vol 57 (4) ◽  
pp. 1668-1680 ◽  
Author(s):  
A. Fabrocini ◽  
F. Arias de Saavedra ◽  
G. Co’ ◽  
P. Folgarait
Keyword(s):  
Basis Function ◽  
Ground State ◽  
Function Theory ◽  
Closed Shell ◽  
Closed Shell Nuclei

scholarly journals NATURAL ORBITALS REPRESENTATION AND FERMI SEA DEPLETION IN FINITE NUCLEI AND NUCLEAR MATTER

2013 ◽  
Vol 22 (07) ◽  
pp. 1350047
Author(s):  
V. P. PSONIS ◽  
Ch. C. MOUSTAKIDIS ◽  
S. E. MASSEN
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Experimental Studies ◽  
Approximate Expression ◽  
Closed Shell ◽  
Open Shell ◽  
Natural Orbitals ◽  
Occupation Numbers ◽  
Closed Shell Nuclei ◽  
Finite Nuclei

The natural orbitals (NOs) and natural occupation numbers (NON) of various N = Z, sp and sd shell nuclei are calculated by applying a correlated one-body density matrix (OBDM). The correlated density matrix has been evaluated by considering central correlations of Jastrow type and an approximation named factor cluster expansion. The correlation effects on NOs, NON and the Fermi sea depletion (FSD) are discussed and analyzed. In addition, an approximate expression for the correlated OBDM of the nuclear matter has been used for the evaluation of the relative momentum distribution and FSD. We found that the value of FSD is higher in closed shell nuclei compared to open shell ones and it is lower compared to the case of nuclear matter. This statement could be confirmed by relevant experimental studies.

The Geometry of the Isomorphic Model of the Closed-Shell Nuclei

1973 ◽  
Vol 51 (9) ◽  
pp. 998-1004 ◽  
Author(s):  
G. S. Anagnostatos
Keyword(s):  
Nuclear Structure ◽  
Ground State ◽  
Dynamic Equilibrium ◽  
Closed Shell ◽  
Magic Numbers ◽  
High Symmetry ◽  
Structure Model ◽  
Closed Shell Nuclei ◽  
Classical Part ◽  
Shell Approximation

The classical part of a new microscopic model of nuclear structure based on high spatial symmetry is proposed. The isomorphic model, as it is called, is a model of the closed-shell nuclei up to 208Pb at the ground state. In brief, it assumes stable dynamic equilibrium of nucleons on spherical shells, which results in shells having average shapes represented by high symmetry polyhedra derived from one another, whose vertices represent average nucleon positions. Properties successfully examined by application of this classical part alone are nuclear shells and magic numbers, nuclear radii, nuclear density, and ground-state moments of inertia of rotating nuclei based on a closed-shell approximation. Through the presentation of this new model, we wish above all to show that symmetry, used as the basis for a nuclear structure model, is highly successful, just as in other areas of physics and chemistry.

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