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 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 A systematic study of the effect of short range correlations on the occupation numbers of the shell model orbits in light nuclei

2019 ◽  
Vol 3 ◽  
pp. 48
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen ◽  
C. P. Panos
Keyword(s):  
Shell Model ◽  
Systematic Study ◽  
Ground State ◽  
Short Range ◽  
Light Nuclei ◽  
Occupation Numbers ◽  
Approximate Treatment ◽  
Short Range Correlations

The role of short-range correlations on the depletion of the Fermi sea is studied in light nuclei.The short range correlations are considered in an approximate treatment allowing a systematic study of nuclei in the region 4 < A < 40. The "natural orbital" representation is used for the determination of the occupation probabilities of the shell model orbits of the ground state wave function. The depletion of the nuclear Fermi sea appears to be, on the average, about 32%.

scholarly journals APPLICATIONS OF DENSITY MATRICES IN A TRAPPED BOSE GAS

2006 ◽  
Vol 20 (15) ◽  
pp. 2189-2221 ◽  
Author(s):  
K. CH. CHATZISAVVAS ◽  
S. E. MASSEN ◽  
CH. C. MOUSTAKIDIS ◽  
C. P. PANOS
Keyword(s):  
Quantum Information ◽  
Bose Gas ◽  
Einstein Condensation ◽  
Density Distributions ◽  
Occupation Numbers ◽  
The One ◽  
Bose Einstein ◽  
Jensen Shannon Divergence ◽  
Analytical Expressions ◽  
Short Range Correlations

An overview of the Bose–Einstein condensation of correlated atoms in a trap is presented by examining the effect of interparticle correlations to one- and two-body properties of the above systems at zero temperature in the framework of the lowest order cluster expansion. Analytical expressions for the one- and two-body properties of the Bose gas are derived using Jastrow-type correlation function. In addition numerical calculations of the natural orbitals and natural occupation numbers are also carried out. Special effort is devoted for the calculation of various quantum information properties including Shannon entropy, Onicescu informational energy, Kullback–Leibler relative entropy and the recently proposed Jensen–Shannon divergence entropy. The above quantities are calculated for the trapped Bose gases by comparing the correlated and uncorrelated cases as a function of the strength of the short-range correlations. The Gross–Piatevskii equation is solved, giving the density distributions in position and momentum space, which are employed to calculate quantum information properties of the Bose gas.

Rapidity distributions and rapidity–gap correlations in multiparticle production at 50 and 400 GeV/c

1985 ◽  
Vol 63 (4) ◽  
pp. 466-471 ◽  
Author(s):  
S. Ahmad ◽  
H. Ahrar ◽  
M. Zafar ◽  
M. Shafi
Keyword(s):  
Single Particle ◽  
Short Range ◽  
Charged Particles ◽  
Projectile Fragmentation ◽  
Proton Collisions ◽  
Secondary Particles ◽  
Target Mass ◽  
Rapidity Gap ◽  
Rapidity Distributions ◽  
Short Range Correlations

Results on the single particle rapidity distributions and rapidity–gap correlations among hadrons produced in 50 GeV/c π−-meson and 400 GeV/c proton collisions with emulsion nuclei have been investigated. Study of the rapidity distributions reveals that the projectile fragmentation is mass independent and the target fragmentation depends upon the target mass. From the rapidity–gap distributions, we find evidence for short-range correlations that indicate that the secondary particles are produced via cluster formations and each cluster should consist of at least three charged particles.

Smooth nucleon–nucleon interactions and meson theory

1968 ◽  
Vol 46 (8) ◽  
pp. 963-969 ◽  
Author(s):  
Pierre Desgrolard ◽  
J. M. Pearson ◽  
Gérard Saunier
Keyword(s):  
Nuclear Matter ◽  
Long Range ◽  
Short Range ◽  
Singlet State ◽  
Nucleon Nucleon ◽  
Second Order ◽  
Meson Theory ◽  
The One ◽  
Range Part ◽  
Short Range Correlations

Tabakin and Davies have shown that it is possible to fit the singlet-state nucleon–nucleon data with a potential that is smooth enough to give very small second-order terms in an ordinary perturbation–theoretic treatment of nuclear matter. However, their potential is unrealistic in that the requirements of meson theory are in no way satisfied in the long-range region. It is shown here that a potential whose long-range part conforms to the OBEP of Bryan and Scott can still be made to fit the phase shifts without increasing significantly the second-order terms. Thus, with meson theory being incapable of making an unequivocal statement about the short-range region, it will only be by resorting to the experimental evidence for short-range correlations in nuclei that one will be able to resolve the question as to whether or not an interaction as smooth as the one considered here can be regarded as "real" rather than merely "effective". In any event, the existence of such correlations cannot be inferred from the singlet nucleon–nucleon data.

DISORDER-INDUCED INSTABILITY OF THE QUANTUM CRITICAL BEHAVIOR OF BOSE FLUIDS

2000 ◽  
Vol 14 (05) ◽  
pp. 173-179
Author(s):  
I. P. TAKOV
Keyword(s):  
Renormalization Group ◽  
Critical Behavior ◽  
Short Range ◽  
Zero Temperature ◽  
Classical Systems ◽  
Renormalization Group Equations ◽  
Quantum Critical ◽  
The One ◽  
Quantum Critical Behavior ◽  
Short Range Correlations

The one-loop renormalization-group equations for Bose fluids with randomly distributed impurities are derived and analyzed with the help of a double ∊-expansion. While the low temperature critical behavior is similar to that of classical systems with extended impurities, the proper quantum critical behavior of disordered Bose fluids at zero temperature is unstable with respect to randomly distributed impurities with short-range correlations.

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