Natural orbitals and occupation numbers in the coherent density fluctuation model

Natural orbitals obtained within the coherent density fluctuation model and containing nucleon correlation effects are used to calculate characteristics of the A-nucleon system, such as the electron elastic magnetic scattering form factors. The calculations are performed for nuclei with a doubly-closed core and a valence nucleon in a stretched configuration (j=l+1/2), such as the 17 O and 41 Ca nuclei. It is shown that the calculations of the transverse form factor using natural orbitals improve the agreement with the experimental data in comparison with the case when shell-model single-particle wave functions are used.

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Generator coordinate method calculations of natural orbitals and single-particle occupation numbers in4He,16O and40Ca

Il Nuovo Cimento A ◽

10.1007/bf02799208 ◽

1990 ◽

Vol 103 (9) ◽

pp. 1287-1300 ◽

Cited By ~ 11

Author(s):

A. N. Antonov ◽

Chr V. Christov ◽

E. N. Nikolov ◽

I. Zh. Petkov ◽

I. S. Bonev

Keyword(s):

Single Particle ◽

Generator Coordinate Method ◽

Natural Orbitals ◽

Coordinate Method ◽

Occupation Numbers ◽

Generator Coordinate

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Time-dependent natural orbitals and occupation numbers

EPL (Europhysics Letters) ◽

10.1209/0295-5075/92/23001 ◽

2010 ◽

Vol 92 (2) ◽

pp. 23001 ◽

Cited By ~ 33

Author(s):

H. Appel ◽

E. K. U. Gross

Keyword(s):

Time Dependent ◽

Natural Orbitals ◽

Occupation Numbers

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Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials

Physical Review C ◽

10.1103/physrevc.101.064315 ◽

2020 ◽

Vol 101 (6) ◽

Cited By ~ 1

Author(s):

I. C. Danchev ◽

A. N. Antonov ◽

D. N. Kadrev ◽

M. K. Gaidarov ◽

P. Sarriguren ◽

...

Keyword(s):

Nuclear Matter ◽

Symmetry Energy ◽

Density Fluctuation ◽

Fluctuation Model

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

International Journal of Modern Physics E ◽

10.1142/s021830131350047x ◽

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.

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