scholarly journals Effects of short range correlations on the Ca and O isotopes

2020 ◽  
Vol 6 ◽  
pp. 72
Author(s):  
S. E. Massen
Keyword(s):  
Harmonic Oscillator ◽  
Short Range ◽  
Correlation Parameter ◽  
Charge Densities ◽  
Charge Radii ◽  
O Isotopes ◽  
Isospin Dependence ◽  
Short Range Correlations

The effect of short range correlations on the Ca and 0 isotopes has been studied by using an isospin dependence of the harmonic oscillator spacing, hω and of the correlation parameter. The analysis indicates that short range correlations as well as the isospin dependence of the parameters are important to explain the behavior of the differences of the MS charge radii and the differences of the charge densities between the Ca and the Ο isotopes.

scholarly journals Nucleon momentum distributions, their spin-isospin dependence, and short-range correlations

2013 ◽  
Vol 87 (3) ◽  
Author(s):  
M. Alvioli ◽  
C. Ciofi degli Atti ◽  
L. P. Kaptari ◽  
C. B. Mezzetti ◽  
H. Morita
Keyword(s):  
Short Range ◽  
Nucleon Momentum ◽  
Momentum Distributions ◽  
Isospin Dependence ◽  
Short Range Correlations

scholarly journals Short range correlations and the isospin dependence of nuclear correlation functions

2018 ◽  
Vol 785 ◽  
pp. 304-308 ◽  
Author(s):  
R. Cruz-Torres ◽  
A. Schmidt ◽  
G.A. Miller ◽  
L.B. Weinstein ◽  
N. Barnea ◽  
...  
Keyword(s):  
Correlation Functions ◽  
Short Range ◽  
Isospin Dependence ◽  
Short Range Correlations

Quantum Entropy for Nuclei

1997 ◽  
Vol 06 (03) ◽  
pp. 497-505 ◽  
Author(s):  
C. P. Panos ◽  
S. E. Massen
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Momentum Space ◽  
Short Range ◽  
Functional Form ◽  
Oscillator Parameter ◽  
Nuclear Systems ◽  
Oscillator Shell ◽  
Short Range Correlations ◽  
Number Of Particles

The position- and momentum-space information entropies of nuclei are calculated in the framework of two models of the nucleus, i.e. the harmonic oscillator shell model and a correlated model which takes into account short range correlations. It is found that for every nucleus the sum of position and momentum entropies is independent of the oscillator parameter and increases slightly by introducing short range correlations. Finally it turns out that the same functional form S =aN + bN ln N for the entropy as function of the number of particles N (electrons or nucleons) holds approximately for atomic and nuclear systems.

scholarly journals Effects of Short and Long Range Correlations on the Charge Densities and Radii of Ca Nuclei

2019 ◽  
Vol 7 ◽  
pp. 47
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen
Keyword(s):  
Experimental Data ◽  
Long Range ◽  
Short Range ◽  
Proton Density ◽  
Nuclear Surface ◽  
Combined Effects ◽  
Mean Square ◽  
Long Range Correlations ◽  
Charge Densities ◽  
Short Range Correlations

The experimental data for the charge (proton) density differences of the even Ca nuclei is analyzed by means of a simple phenomenological model where the effects of certain type short and long range correlations have been accounted. Short range correlations are approximated through the Jastrow type correlation function while for long range correlations the fluctuations of the nuclear surface are considered. The analysis shows that the combined effects of these correlations lead to a better description of the experimental charge (proton) density differences. Moreover, the calculated charge mean square radii of the even Ca nuclei exhibit a parabolic behaviour and compare well with the experimental isotope shifts from the laser spectroscopy measurements.

scholarly journals The effect of short range correlation on the inelastic C2 and C4 form factors of 18O nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 37-50
Author(s):  
Abdullah S. Mdekil
Keyword(s):  
Charge Density ◽  
Short Range ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Charge Densities ◽  
Oscillator Wave Function ◽  
Inert Core ◽  
Harmonic Oscillator Wave Function ◽  
Short Range Correlations

The effect of short range correlations on the inelastic Coulomb form factors for excited +2 states (1.982, 3.919, 5.250 and 8.210MeV) and +4 states (3.553, 7.114, 8.960 and 10.310 MeV) in O18 is analyzed. This effect (which depends on the correlation parameterβ) is inserted into the ground state charge density distribution through the Jastrow type correlation function. The single particle harmonic oscillator wave function is used with an oscillator size parameter .b The parameters β and b are adjusted for each excited state separately so as to reproduce the experimental root mean square charge radius of .18O The nucleusO18 is considered as an inert core of C12 with two protons and four neutrons distributed over 212521211sdp−− active orbits. The total transition charge density comes from both the model space and core polarization transition charge densities. The realistic effective interaction of Reehal–Wildenthal (REWIL) is used for this model space. It is found that the introduction of the effect of short range correlations is necessary for obtaining a remarkable improvement for the calculated inelastic Coulomb form factors and considered as an essential for explanation the data amazingly throughout the whole range of considered momentum transfer.

Distribution and Correlation of the Coding Sequence Lengths in Bacterial Genomes

2008 ◽  
Vol 59 (11) ◽  
Author(s):  
Vasile V. Morariu
Keyword(s):  
Correlation Analysis ◽  
Exponential Function ◽  
Short Range ◽  
Statistical Physics ◽  
Bacterial Genomes ◽  
Coding Sequence ◽  
Correlation Properties ◽  
Short Range Correlations ◽  
Fluctuating System

The length of coding sequence (CDS) series in bacterial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlation properties of CDS for 47 genomes were investigated. The distribution was found to be approximated by an exponential function while the correlation analysis revealed short range correlations.

scholarly journals 0νββ-decay nuclear matrix elements with self-consistent short-range correlations

2009 ◽  
Vol 79 (5) ◽  
Author(s):  
Fedor Šimkovic ◽  
Amand Faessler ◽  
Herbert Müther ◽  
Vadim Rodin ◽  
Markus Stauf
Keyword(s):  
Nuclear Matrix ◽  
Short Range ◽  
Matrix Elements ◽  
Self Consistent ◽  
Short Range Correlations
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