scholarly journals ON THE TWO-BODY MOMENTUM DISTRIBUTION IN FINITE NUCLEI

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 .

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

2020 ◽  
Vol 9 ◽  
pp. 290
Author(s):  
P. Papakonstantinou ◽  
E. Mavrommatis ◽  
T. S. Kosmas
Keyword(s):  
Shell Model ◽  
Momentum Distribution ◽  
Closed Shell ◽  
Model Application ◽  
Independent Particle ◽  
Closed Shell Nuclei ◽  
Nuclear Systems ◽  
Generalized Momentum ◽  
Finite Nuclei

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.

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

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.

scholarly journals Systematic study of the effect of short range correlations on the form factors and densities of s-p-d shell nuclei

2020 ◽  
Vol 9 ◽  
pp. 279
Author(s):  
H. C. Moustakidis ◽  
S. E. Massen
Keyword(s):  
Systematic Study ◽  
Short Range ◽  
Form Factors ◽  
Closed Shell ◽  
Open Shell ◽  
Oscillator Parameter ◽  
Charge Form ◽  
Closed Shell Nuclei ◽  
The One ◽  
Short Range Correlations

Analytical expressions of the one- and two-body terms in the cluster expansion of the charge form factors and densities of the s-p and s-d shell nuclei with N=Z are derived. They depend on the harmonic oscillator parameter 6 and the parameter β which originates from the Jastrow correlation function. These expressions are used for the systematic study of the effect of short range correlations on the form factors and densities and of the mass dependence of the parameters ò and β. These parameters have been determined by fit to the experimental charge form factors. The inclusion of the correlations reproduces the experimental charge form factors at the high momentum transfers (q > 2 fm^-1). It is found that while the parameter β is almost constant for the closed shell nuclei, 4He, 16O and 40Ca, its values are larger (less correlated systems) for the open shell nuclei, indicating a shell effect in the closed shell nuclei.

scholarly journals A CBF calculation of 1S0 Superfluidity in the Inner Crust of Neutron Stars

2019 ◽  
Vol 17 ◽  
pp. 23
Author(s):  
G. Pavlou ◽  
E. Mavrommatis ◽  
Ch. C. Moustakidis ◽  
J. W. Clark
Keyword(s):  
Equation Of State ◽  
Neutron Stars ◽  
Basis Function ◽  
Correlation Functions ◽  
Short Range ◽  
Higher Order ◽  
Neutron Matter ◽  
S Wave ◽  
Short Range Correlations

Singlet S-wave superfluidity of dilute neutron matter in the inner crust of neutron stars is studied within the correlated BCS (Bardeen, Cooper, Schrieffer) method, taking into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is calculated within the correlated-basis-function (CBF) method in lowest cluster order using the Argonne V18 and V4′ potentials and Jastrow-type correlation functions. The 1S0 superfluid gap is then calculated with these potentials and correlation functions. The dependence of our results on the choice of the correlation functions is ana- lyzed and the role of higher-order cluster corrections is considered. The values obtained for the 1S0 gap within this simplified scheme are comparable to those from other, more elaborate, methods.

Effects of short-range correlations on the self-energy in the optical model of finite nuclei

1992 ◽  
Vol 539 (2) ◽  
pp. 189-208 ◽  
Author(s):  
M. Borromeo ◽  
D. Bonatsos ◽  
H. Müther ◽  
A. Polls
Keyword(s):  
Short Range ◽  
Optical Model ◽  
The Self ◽  
Self Energy ◽  
Finite Nuclei ◽  
Short Range Correlations
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