Description of the generalized momentum distribution in finite nuclei within t h e independent-particle shell model

A method for calculating the generalized momentum distribution in finite nuclear systems is presented and discussed within the context of the independent particle shell model. Application to the light closed-shell nuclei 16O and 40Ca is included.

Download Full-text

ON THE TWO-BODY MOMENTUM DISTRIBUTION IN FINITE NUCLEI

International Journal of Modern Physics B ◽

10.1142/s0217979203020326 ◽

2003 ◽

Vol 17 (28) ◽

pp. 5197-5201

Author(s):

P. PAPAKONSTANTINOU ◽

E. MAVROMMATIS ◽

T. S. KOSMAS

Keyword(s):

Shell Model ◽

Momentum Distribution ◽

Correlation Functions ◽

Short Range ◽

Closed Shell ◽

Independent Particle ◽

Closed Shell Nuclei ◽

Analytic Expressions ◽

Finite Nuclei ◽

Short Range Correlations

We present compact analytic expressions for the two-body momentum distribution η2(p1, p2) in Z=N closed-shell nuclei derived within the context of the independent particle shell model. Results are derived for the nucleus 16 O . The effect of dynamical short-range correlations is estimated using Jastrow-type correlation functions in the case of the nucleus 4 He .

Download Full-text

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.

Download Full-text

The effect of short-range correlations on the generalized momentum distribution in finite nuclei

Journal of Physics G Nuclear and Particle Physics ◽

10.1088/0954-3899/34/7/020 ◽

2007 ◽

Vol 34 (7) ◽

pp. 1827-1843 ◽

Cited By ~ 1

Author(s):

Ch C Moustakidis ◽

P Papakonstantinou ◽

E Mavrommatis

Keyword(s):

Momentum Distribution ◽

Short Range ◽

Generalized Momentum ◽

Finite Nuclei ◽

Short Range Correlations

Download Full-text

Generalized momentum distribution in finite nuclei

Nuclear Physics A ◽

10.1016/s0375-9474(00)00135-4 ◽

2000 ◽

Vol 673 (1-4) ◽

pp. 171-188 ◽

Cited By ~ 4

Author(s):

P. Papakonstantinou ◽

E. Mavrommatis ◽

T.S. Kosmas

Keyword(s):

Momentum Distribution ◽

Generalized Momentum ◽

Finite Nuclei

Download Full-text

Isomorphic shell model for closed-shell nuclei

International Journal of Theoretical Physics ◽

10.1007/bf00670466 ◽

1985 ◽

Vol 24 (6) ◽

pp. 579-613 ◽

Cited By ~ 24

Author(s):

G. S. Anagnostatos

Keyword(s):

Shell Model ◽

Closed Shell ◽

Closed Shell Nuclei

Download Full-text

Coulomb Energies of Closed-Shell Nuclei from Shell-Model Wave Functions

Physical Review ◽

10.1103/physrev.120.2069 ◽

1960 ◽

Vol 120 (6) ◽

pp. 2069-2071 ◽

Cited By ~ 4

Author(s):

N. V. V. J. Swamy ◽

V. K. Kembhavi ◽

D. G. Galgali

Keyword(s):

Shell Model ◽

Closed Shell ◽

Wave Functions ◽

Model Wave ◽

Closed Shell Nuclei ◽

Coulomb Energies

Download Full-text

The influence of state dependent short range correlations on the depletion of the nuclear Fermi sea

HNPS Proceedings ◽

10.12681/hnps.2899 ◽

2020 ◽

Vol 5 ◽

pp. 158

Author(s):

G. A. Lalazissis ◽

S. E. Massen ◽

C. P. Panos

Keyword(s):

Shell Model ◽

Single Particle ◽

Short Range ◽

State Dependence ◽

Closed Shell ◽

State Dependent ◽

Occupation Numbers ◽

Closed Shell Nuclei ◽

The One ◽

Short Range Correlations

The influence of state dependent short range correlations on the occupation numbers of the single particle shell model orbits of the doubly closed shell nuclei 16O and 40Ca is examined. The study shows that the effect of the state dependence of the short range correlations is rather small. The total depletion of the nuclear Fermi sea changes slightly compared with the one calculated by considering state independent short range correlations.

Download Full-text